% Encoding: UTF-8 @Article{BeukersKolkCalabi93, author = {Beukers, Frits and Kolk, Johan A. C. and Calabi, Eugenio}, journal = {{Nieuw Arch. Wiskd., IV. Ser.}}, title = {{Sums of generalized harmonic series and volumes}}, year = {1993}, issn = {0028-9825}, number = {3}, pages = {217--224}, volume = {11}, doi_notused = {https://doi.org/10.1007/s12045-015-0241-0}, fjournal = {{Nieuw Archief voor Wiskunde. Vierde Serie}}, publisher = {Het Wiskundig Genootschap te Amsterdam, Amsterdam}, url = {https://www.researchgate.net/profile/F_Beukers/publication/237250085_Sums_of_generalized_harmonic_series_and_volumes/links/53e731e40cf2fb748721876e/Sums-of-generalized-harmonic-series-and-volumes.pdf}, } @Article{BrightwellWinkler1991, Author = {Graham {Brightwell} and Peter {Winkler}}, Title = {{Counting linear extensions}}, FJournal = {{Order}}, Journal = {{Order}}, ISSN = {0167-8094; 1572-9273/e}, Volume = {8}, Number = {3}, Pages = {225--242}, Year = {1991}, Publisher = {Springer Netherlands, Dordrecht}, Language = {English}, MSC2010 = {06A07 68Q25 68R05}, Zbl = {0759.06001}, doi_notfree={https://doi.org/10.1007/BF00383444}, doi={10.1007/BF00383444}, url={https://doi.org/10.1007/BF00383444}, note={A preliminary version appeared in the proceedings of STOC'91.}, } @Article{BenderGoldman1971, Author = {Bender, Edward A. and Goldman, Jay R.}, Title = {{Enumerative uses of generating functions}}, FJournal = {{Indiana University Mathematics Journal}}, Journal = {{Indiana Univ. Math. J.}}, ISSN = {0022-2518}, Volume = {20}, Pages = {753--765}, Year = {1971}, Publisher = {Indiana University, Department of Mathematics, Bloomington, IN}, Language = {English}, MSC2010 = {05A15 05A17 05C15}, Zbl = {0217.01803}, url_notused={https://oeis.org/A000110/a000110_5.pdf}, doi_notused={https://www.jstor.org/stable/24890130?seq=1}, url={https://www.jstor.org/stable/24890130?seq=1}, } @InCollection{DuchonFlajoletLouchardSchaeffer2002, Author = {Duchon, Philippe and Flajolet, Philippe and Louchard, Guy and Schaeffer, Gilles}, Title = {{Random sampling from Boltzmann principles}}, BookTitle_notused = {{Automata, languages and programming. 29th international colloquium, ICALP 2002, M\'alaga, Spain, July 8--13, 2002. Proceedings}}, BookTitle = {{Automata, languages and programming. Proceedings of ICALP 2002.}}, ISBN = {3-540-43864-5}, Pages = {501--513}, Year = {2002}, Publisher = {Springer}, url={http://algo.inria.fr/flajolet/Publications/DuFlLoSc02.pdf}, } @article {BaBoDeGaGo02, AUTHOR = {Banderier, Cyril and Bousquet-M{\'e}lou, Mireille and Denise, Alain and Flajolet, Philippe and Gardy, Dani{\`e}le and Gouyou-Beauchamps, Dominique}, TITLE = {Generating functions for generating trees}, NOTE = {FPSAC'99 Barcelona}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {246}, YEAR = {2002}, NUMBER = {1-3}, PAGES = {29--55}, ISSN = {0012-365X}, CODEN = {DSMHA4}, DOI = {10.1016/S0012-365X(01)00250-3}, URL = {https://dx.doi.org/10.1016/S0012-365X(01)00250-3}, } @Book{Jerrum2003, Author = {Mark {Jerrum}}, Title = {{Counting, Sampling and Integrating: Algorithms and Complexity}}, ISBN = {3-7643-6946-9/pbk}, Pages = {xi + 112}, Year = {2003}, Publisher = {Birkh\"auser}, Language = {English}, MSC2010 = {05-02 68-02 60Jxx 68Q25 82B20}, Zbl = {1011.05001}, doi={10.1007/978-3-0348-8005-3}, url={https://doi.org/10.1007/978-3-0348-8005-3}, } @Article{Zeilberger2007, Author = {Doron {Zeilberger}}, Title = {{The holonomic ansatz. II: Automatic discovery(!) and proof(!!) of holonomic determinant evaluations}}, title_notused={funny, zbmath did not respect Doron's terrific capitalization}, FJournal = {{Annals of Combinatorics}}, Journal = {{Ann. Comb.}}, ISSN = {0218-0006; 0219-3094/e}, Volume = {11}, Number = {2}, Pages = {241--247}, Year = {2007}, url={https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/ansatzII.pdf}, } @Article{FlajoletZimmermannvanCutsem1994, Author = {Philippe {Flajolet} and Paul {Zimmermann} and Bernard {van Cutsem}}, Title = {{A calculus for the random generation of labelled combinatorial structures}}, FJournal = {{Theoretical Computer Science}}, Journal = {{Theor. Comput. Sci.}}, ISSN = {0304-3975}, Volume = {132}, Number = {1-2}, Pages = {1--35}, Year = {1994}, Publisher = {Elsevier, Amsterdam}, Language = {English}, MSC2010 = {68R05 68Q25 05A15 68Q60 68R10 68Q45}, Zbl = {0799.68143}, doi={10.1016/0304-3975(94)90226-7}, } @book{NijenhuisWilf1978, Author = {Albert {Nijenhuis} and Herbert S. {Wilf}}, Title = {{Combinatorial Algorithms for Computers and Calculators}}, Year = {1978}, note={Second edition (first edition in 1975)}, Language = {English}, publisher= {Academic Press}, MSC2010 = {68Rxx 68-01}, Zbl = {0476.68047}, url={https://www.math.upenn.edu/~wilf/website/CombinatorialAlgorithms.pdf}, } @Book{Bona2004, Author = {B\'ona, Mikl\'os}, Title = {{Combinatorics of permutations}}, FJournal = {{Discrete Mathematics and its Applications}}, Journal = {{Discrete Math. Appl.}}, ISBN = {1-58488-434-7/hbk}, Pages = {383}, Year = {2004}, Publisher = {Chapman \& Hall/CRC}, Language = {English}, MSC2010 = {05-01 05A05 05A15}, Zbl = {1052.05001}, } @book{Rota1975, Author = {Rota, Gian-Carlo}, Title = {{Finite Operator Calculus. With the collaboration of P.~Doubilet, C.~Greene, D.~Kahaner, A.~Odlyzko and R.~Stanley}}, Year = {1975}, Language_ = {English}, HowPublished_ = {{New York - San Francisco - London: Academic Press, Inc., a subsidiary of Harcourt Brace Jovanovich, Publishers. X, 159 p. \$9.50 (1975).}}, publisher={Academic Press}, } @Article{ElveypriceFangWallner2019Compacted, author = {Elvey Price, Andrew and Fang, Wenjie and Wallner, Michael}, journal = {J. Combin. Theory Ser. A}, title = {Compacted binary trees admit a stretched exponential}, year = {2021}, issn = {0097-3165}, pages = {105306, 40}, volume = {177}, eprinttype = {arXiv}, eprint = {1908.11181}, doi_notused = {j.jcta.2020.105306}, eprint_notused = {1908.11181}, primaryclass = {math.CO}, } @Article{FuchsYuZhang2020Networks, author = {Michael Fuchs and Guan-Ru Yu and Louxin Zhang}, journal = {{Eur. J. Comb.}}, title = {On the asymptotic growth of the number of tree-child networks}, year = {2021}, issn = {0195-6698}, pages = {103278, 20}, volume = {93}, doi_notused = {10.1016/j.ejc.2020.103278}, fjournal = {{European Journal of Combinatorics}}, msc2010 = {92D15 92D10 92C42}, primaryclass = {math.CO}, publisher = {Elsevier (Academic Press), London}, eprint = {2003.08049}, eprinttype = {arXiv}, } @InCollection{ChudnovskyChudnovsky88, author = {Chudnovsky, D. V. and Chudnovsky, G. V.}, title = {Approximations and complex multiplication according to {R}amanujan}, booktitle = {Ramanujan revisited ({U}rbana-{C}hampaign, {I}ll., 1987)}, publisher = {Academic Press, Boston, MA}, year = {1988}, pages = {375--472}, mrclass = {11J81 (11F99 11G15 11J04 11J89)}, mrnumber = {938975}, mrreviewer = {Maurice Mignotte}, } @book{Knuth4, author={Knuth, Donald E.}, title={The Art of Computer Programming. Volume 4A. Combinatorial Algorithms, Part 1.}, year={2011}, publisher={Addison-Wesley}, pages={xvi+883pp.}, } @article{Andre87, Author={Andr\'e, D\'esir\'e}, year={1887}, title={{Solution directe du probl\`eme r\'esolu par M. Bertrand}}, journal={Comptes Rendus de l'Acad\'emie des Sciences}, volume={105}, pages={436-437}, url={http://gallica.bnf.fr/ark:/12148/bpt6k3061j/f436.image}, } @article{Andre81, Author={Andr\'e, D\'esir\'e}, year={1881}, title={Sur les permutations altern\'ees}, journal={Journal de math\'ematiques pures et appliqu\'ees}, volume={7}, pages={167--184}, note={Long version of several articles by Andr\'e in 1879}, url={http://sites.mathdoc.fr/JMPA/PDF/JMPA_1881_3_7_A10_0.pdf}, } @article{Andre79, title={D\'eveloppements de $s\'ec x$ et de $tang x$}, journal={Comptes rendus hebdomadaires des s\'eances de l'Acad\'emie des sciences}, volume={88}, year={1879}, pages={965--967}, url={https://gallica.bnf.fr/ark:/12148/bpt6k30457/f961.item}, } @article {PekozRollinRoss16, AUTHOR = {Pek\"oz, Erol A. and R\"ollin, Adrian and Ross, Nathan}, TITLE = {Generalized gamma approximation with rates for urns, walks and trees}, JOURNAL = {Ann. Probab.}, FJOURNAL = {The Annals of Probability}, VOLUME = {44}, YEAR = {2016}, NUMBER = {3}, PAGES = {1776--1816}, ISSN = {0091-1798}, URL = {https://doi.org/10.1214/15-AOP1010}, DOI = {10.1214/15-AOP1010}, arxiv={https://arxiv.org/pdf/1309.4183.pdf}, } @article {Kenyon01, AUTHOR = {Kenyon, Richard}, TITLE = {Dominos and the {G}aussian free field}, JOURNAL = {Ann. Probab.}, FJOURNAL = {The Annals of Probability}, VOLUME = {29}, YEAR = {2001}, NUMBER = {3}, PAGES = {1128--1137}, ISSN = {0091-1798}, MRCLASS = {82B41 (60G60 82B20)}, MRNUMBER = {1872739}, MRREVIEWER = {Almut Burchard}, URL = {https://doi.org/10.1214/aop/1015345599}, } @article {KenyonOkounkov07, AUTHOR = {Kenyon, Richard and Okounkov, Andrei}, TITLE = {Limit shapes and the complex {B}urgers equation}, JOURNAL = {Acta Math.}, FJOURNAL = {Acta Mathematica}, VOLUME = {199}, YEAR = {2007}, NUMBER = {2}, PAGES = {263--302}, ISSN = {0001-5962}, URL = {https://doi.org/10.1007/s11511-007-0021-0}, } @article {BertoinYor01, AUTHOR = {Bertoin, Jean and Yor, Marc}, TITLE = {On subordinators, self-similar {M}arkov processes and some factorizations of the exponential variable}, JOURNAL = {Electron. Comm. Probab.}, FJOURNAL = {Electronic Communications in Probability}, VOLUME = {6}, YEAR = {2001}, PAGES = {95--106}, ISSN = {1083-589X}, } @book {AthreyaNey72, AUTHOR = {Athreya, Krishna B. and Ney, Peter E.}, TITLE = {Branching processes}, PUBLISHER = {Springer}, YEAR = {1972}, PAGES = {xi+287}, MRCLASS = {60J80}, MRNUMBER = {0373040}, MRREVIEWER = {C. C. Heyde}, } @book {AthreyaNey04, AUTHOR = {Athreya, K. B. and Ney, P. E.}, TITLE = {Branching processes}, NOTE = {Reprint of the 1972 original}, PUBLISHER = {Dover Publications, Inc., Mineola, NY}, YEAR = {2004}, PAGES = {xii+287}, ISBN = {0-486-43474-5}, MRCLASS = {60-02 (60J10 60J27 60J45 60J80)}, MRNUMBER = {2047480}, } @Article{VershikKerov77, author = {Vershik, Anatoly M. and Kerov, Sergey V.}, title = {Asymptotic behavior of the {P}lancherel measure of the symmetric group and the limit form of {Y}oung tableaux}, journal = {Dokl. Akad. Nauk SSSR}, year = {1977}, volume = {233}, number = {6}, pages = {1024--1027}, issn = {0002-3264}, fjournal = {Doklady Akademii Nauk SSSR}, mrclass = {10J20 (20C30)}, mrnumber = {0480398}, mrreviewer = {V. M. Maksimov}, } @Incollection{Vershik01, title = {Randomization of Algebra and Algebraization of Probability}, author= {Vershik, Anatoly M.}, pages = {1157-1166}, booktitle = {{Mathematics unlimited---2001 and beyond.}}, Editor = {Bj\"orn {Engquist} and Wilfried {Schmid}}, Year = {2001}, Publisher = {Springer}, doi={https://doi.org/10.1007/978-3-642-56478-9_60}, } @Article{GreeneNijenhuisWilf84, Author = {Curtis {Greene} and Albert {Nijenhuis} and Herbert S. {Wilf}}, Title = {Another probabilistic method in the theory of {Y}oung tableaux}, FJournal = {{Journal of Combinatorial Theory. Series A}}, Journal = {{J. Comb. Theory, Ser. A}}, ISSN = {0097-3165}, Volume = {37}, Pages = {127--135}, Year = {1984}, Publisher = {Elsevier}, Language = {English}, url= {http://www.math.upenn.edu/~wilf/website/Another\%20probabilistic\%20method\%20for\%20tableaux.pdf}, DOI = {10.1016/0097-3165(84)90065-7}, MSC2010 = {05A15}, } @Article{PittelRomik07, author = {Boris {Pittel} and Dan {Romik}}, title = {{Limit shapes for random square {Y}oung tableaux.}}, journal = {{Adv. Appl. Math.}}, year = {2007}, volume = {38}, number = {2}, pages = {164--209}, issn = {0196-8858}, doi = {10.1016/j.aam.2005.12.005}, fjournal = {{Advances in Applied Mathematics}}, language = {English}, msc2010 = {60C05 05E10 60F10}, publisher = {Elsevier (Academic Press), San Diego, CA}, zbl = {1122.60009}, } @Article{BagchiPal85, author = {Bagchi, Amitava and Pal, Asim K.}, title = {Asymptotic normality in the generalized {P}\'olya-{E}ggenberger urn model, with an application to computer data structures}, journal = {SIAM J. Algebraic Discrete Methods}, year = {1985}, volume = {6}, number = {3}, pages = {394--405}, issn = {0196-5212}, doi = {10.1137/0606041}, fjournal = {Society for Industrial and Applied Mathematics. Journal on Algebraic and Discrete Methods}, mrclass = {60C05 (60F05 68P05)}, mrnumber = {791169}, mrreviewer = {Lyuben R. Mutafchiev}, url = {https://dx.doi.org/10.1137/0606041}, } @Article{Janson04, author = {Janson, Svante}, title = {Functional limit theorems for multitype branching processes and generalized {P}\'olya urns}, journal = {Stochastic Process. Appl.}, year = {2004}, volume = {110}, number = {2}, pages = {177--245}, issn = {0304-4149}, doi = {10.1016/j.spa.2003.12.002}, fjournal = {Stochastic Processes and their Applications}, mrclass = {60J80 (60F17)}, mrnumber = {2040966}, mrreviewer = {Jochen Geiger}, url = {https://dx.doi.org/10.1016/j.spa.2003.12.002}, } @Article{Stacy62, author = {Stacy, Edney W.}, title = {A generalization of the gamma distribution}, journal = {Ann. Math. Statist.}, year = {1962}, volume = {33}, pages = {1187--1192}, issn = {0003-4851}, fjournal = {Annals of Mathematical Statistics}, mrclass = {62.10}, mrnumber = {0143277}, mrreviewer = {H. P. Edmundson}, url = {https://doi.org/10.1214/aoms/1177704481}, } @Article{KhodabinAhmadabadi10, author = {Khodabin, Morteza and Ahmadabadi, Alireza}, title = {Some properties of generalized gamma distribution}, journal = {Math. Sci. Q. J.}, year = {2010}, volume = {4}, number = {1}, pages = {9--27}, issn = {2008-1359}, fjournal = {Mathematical Sciences Quarterly Journal}, mrclass = {62E15}, mrnumber = {2673499}, } @Article{Janson10a, author = {Janson, Svante}, title = {Moments of {G}amma type and the {B}rownian supremum process area}, journal = {Probab. Surv.}, year = {2010}, volume = {7}, pages = {1--52}, issn = {1549-5787}, doi = {10.1214/10-PS160}, fjournal = {Probability Surveys}, note={With addendum on pages 207--208}, mrclass = {60E05 (60C05 60E10 60G70 60J65 62E15)}, mrnumber = {2645216}, mrreviewer = {Leonid V. Bogachev}, url = {https://dx.doi.org/10.1214/10-PS160}, } @Book{FlajoletSedgewick09, title = {Analytic Combinatorics}, publisher = {Cambridge University Press}, year = {2009}, author = {Flajolet, Philippe and Sedgewick, Robert}, url = {http://algo.inria.fr/flajolet/Publications/book.pdf}, } @Article{FrechetShohat31, author = {Fr\'echet, Maurice and Shohat, James}, title = {A proof of the generalized second-limit theorem in the theory of probability}, journal = {Trans. Amer. Math. Soc.}, year = {1931}, volume = {33}, number = {2}, pages = {533--543}, issn = {0002-9947}, fjournal = {Transactions of the American Mathematical Society}, mrclass = {60F05 (44A60 60E05)}, mrnumber = {1501604}, url = {https://doi.org/10.2307/1989421}, } @Article{Rivest18, author = {Rivest, Ronald L.}, title = {Tabulation Audits: Explained and Extended}, journal = {arXiv:1801.00528}, year = {2018}, } @Article{Pouyanne08, author = {Pouyanne, Nicolas}, title = {An algebraic approach to {P}\'olya processes}, journal = {Annales de l'IHP - Probabilit\'es et Statistiques}, year = {2008}, volume = {44}, number = {2}, pages = {293--323}, url = {arXiv:math/0605472}, } @Article{Mailler14, author = {Mailler, C\'ecile}, title = {Describing the asymptotic behaviour of multicolour {P}\'olya urns via smoothing systems analysis}, journal = {arXiv:1407.2879}, year = {2014}, } @Article{SalvyZimmermann94, author = {Salvy, Bruno and Zimmermann, Paul}, title = {Gfun: a {M}aple package for the manipulation of generating and holonomic functions in one variable}, journal = {ACM Transactions on Mathematical Software}, year = {1994}, volume = {20}, number = {2}, pages = {163--177}, bdsk-url-1 = {https://dx.doi.org/10.1145/178365.178368}, url={https://hal.inria.fr/inria-00070025/document}, } @Article{Gessel2003, Author = {Ira M. {Gessel}}, Title = {{Applications of the classical umbral calculus}}, FJournal = {{Algebra Universalis}}, Journal = {{Algebra Univers.}}, ISSN = {0002-5240; 1420-8911/e}, Volume = {49}, Number = {4}, Pages = {397--434}, Year = {2003}, Publisher = {Springer (Birkh\"auser), Basel; University of Manitoba, Department of Mathematics, Winnipeg}, Language = {English}, MSC2010 = {05A40 05A19 05A10 11B65 11B68 11B73}, Zbl = {1092.05005} } @Book{Macdonald15, title = {Symmetric functions and {H}all polynomials}, publisher = {The Clarendon Press, Oxford University Press}, year = {2015}, author = {Macdonald, Ian G.}, series = {Oxford Classic Texts in the Physical Sciences}, edition = {Second edition}, isbn = {978-0-19-873912-8}, mrclass = {05E05 (01A75 05-02 20C30 20C33 20K01 33C80 33D80)}, mrnumber = {3443860}, pages = {xii+475}, } @Article{EggenbergerPolya28, author = {{Eggenberger}, Florian and {P\'olya}, George}, title = {{Sur l'interpr\'etation de certaines courbes de fr\'equence}}, journal = {{C. R. Acad. Sc.}}, year = {1928}, volume = {187}, pages = {870--872}, language = {French}, zbl = {54.0549.02}, } @Article{EggenbergerPolya23, author = {{Eggenberger}, Florian and {P\'olya}, George}, title = {{\"Uber die Statistik verketteter Vorg\"ange}}, journal = {{Z. Angew. Math. Mech.}}, year = {1923}, volume = {3}, pages = {279--290}, issn = {0044-2267; 0946-8463/e}, doi = {10.1002/zamm.19230030407}, fjournal = {{Zeitschrift f\"ur Angewandte Mathematik und Mechanik}}, issue = {4}, language = {German}, publisher = {John Wiley \& Sons (Wiley-VCH), Berlin}, zbl = {49.0382.01}, } @Book{Romik15, title = {The surprising mathematics of longest increasing subsequences}, publisher = {Cambridge University Press, New York}, year = {2015}, author = {Romik, Dan}, series = {Institute of Mathematical Statistics Textbooks}, isbn = {978-1-107-42882-9; 978-1-107-07583-2}, mrclass = {05-01 (05A05 05D40 60B20 60C05 60K35 82B41 82C41)}, mrnumber = {3468738}, mrreviewer = {Sergi Elizalde}, pages = {xi+353}, } @Article{KubaPanholzer16, author = {Kuba, Markus and Panholzer, Alois}, title = {On moment sequences and mixed {P}oisson distributions}, journal = {Probab. Surv.}, year = {2016}, volume = {13}, pages = {89--155}, issn = {1549-5787}, fjournal = {Probability Surveys}, mrclass = {60C05}, mrnumber = {3550936}, mrreviewer = {Martin V. Hildebrand}, url = {https://doi.org/10.1214/14-PS244}, } @Article{ChenKuba13, author = {Chen, May-Ru and Kuba, Markus}, title = {On generalized {P}\'olya urn models}, journal = {J. Appl. Probab.}, year = {2013}, volume = {50}, number = {4}, pages = {1169--1186}, issn = {0021-9002}, fjournal = {Journal of Applied Probability}, mrclass = {60C05 (05C05 60F05)}, mrnumber = {3161380}, mrreviewer = {Anant P. Godbole}, url = {https://doi.org/10.1239/jap/1389370106}, } @InCollection{KubaPanholzer12a, author = {Kuba, Markus and Panholzer, Alois}, title = {On death processes and urn models}, booktitle = {23rd {I}ntern. {M}eeting on {P}robabilistic, {C}ombinatorial, and {A}symptotic {M}ethods for the {A}nalysis of {A}lgorithms ({A}of{A}'12)}, publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, year = {2012}, series = {Discrete Math. Theor. Comput. Sci. Proc., AQ}, pages = {29--41}, mrclass = {60J10 (05A15 05C05 60C05)}, mrnumber = {2957318}, } @Article{KubaPanholzer12, author = {Kuba, Markus and Panholzer, Alois}, title = {Limiting distributions for a class of diminishing urn models}, journal = {Adv. in Appl. Probab.}, year = {2012}, volume = {44}, number = {1}, pages = {87--116}, issn = {0001-8678}, fjournal = {Advances in Applied Probability}, mrclass = {60C05 (60F05)}, mrnumber = {2951548}, mrreviewer = {Zhong Gen Su}, url = {https://doi.org/10.1239/aap/1331216646}, } @Article{Kuba11, author = {Kuba, Markus}, title = {Analysis of a class of cannibal urns}, journal = {Electron. Commun. Probab.}, year = {2011}, volume = {16}, pages = {583--599}, issn = {1083-589X}, fjournal = {Electronic Communications in Probability}, mrclass = {60F05 (05A15 60C05)}, mrnumber = {2846652}, mrreviewer = {Anant P. Godbole}, url = {https://doi.org/10.1214/ECP.v16-1669}, } @Article{JansonKubaPanholzer11, author = {Janson, Svante and Kuba, Markus and Panholzer, Alois}, title = {Generalized {S}tirling permutations, families of increasing trees and urn models}, journal = {J. Combin. Theory Ser. A}, year = {2011}, volume = {118}, number = {1}, pages = {94--114}, issn = {0097-3165}, fjournal = {Journal of Combinatorial Theory. Series A}, mrclass = {05C05 (05A05 05C30)}, mrnumber = {2737187}, mrreviewer = {Chunwei Song}, url = {https://doi.org/10.1016/j.jcta.2009.11.006}, } @Article{KubaPanholzer10, author = {Kuba, Markus and Panholzer, Alois}, title = {On the area under lattice paths associated with triangular diminishing urn models}, journal = {Adv. in Appl. Math.}, year = {2010}, volume = {44}, number = {4}, pages = {329--358}, issn = {0196-8858}, fjournal = {Advances in Applied Mathematics}, mrclass = {60C05 (05A16 60F05)}, mrnumber = {2600784}, url = {https://doi.org/10.1016/j.aam.2009.09.001}, } @InCollection{KubaPanholzer07, author = {Kuba, Markus and Panholzer, Alois}, title = {Limit laws for a class of diminishing urn models}, booktitle = {2007 {C}onference on {A}nalysis of {A}lgorithms, {A}of{A} 07}, publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, year = {2007}, series = {Discrete Math. Theor. Comput. Sci. Proc., AH}, pages = {341--351}, mrclass = {60F05 (60C05)}, mrnumber = {2509533}, mrreviewer = {Zhong Gen Su}, } @article{FantiPramod17, title={{Deanonymization in the Bitcoin P2P Network}}, author={Fanti, Giulia and Viswanath, Pramod}, journal={Proceedings of the 31st Conference on Neural Information Processing Systems}, year={2017}, url={https://papers.nips.cc/paper/6735-deanonymization-in-the-bitcoin-p2p-network.pdf}, } @Article{SmytheMahmoud94, author = {Smythe, Robert T. and Mahmoud, Hosam M.}, title = {A survey of recursive trees}, journal = {Theory Probab. Math. Statist.}, year = {1994}, volume = {51}, pages = {1--29}, issn = {0868-6904}, mrclass = {60C05 (60F99)}, mrnumber = {1445048}, } @Article{ZhangMahmoud16, author = {Zhang, Panpan and Mahmoud, Hosam M.}, title = {Distributions in a class of {P}oissonized urns with an application to {A}pollonian networks}, journal = {Statist. Probab. Lett.}, year = {2016}, volume = {115}, pages = {1--7}, issn = {0167-7152}, fjournal = {Statistics \& Probability Letters}, mrclass = {60J75 (35F05 60C05 65Q30)}, mrnumber = {3498362}, url = {https://doi.org/10.1016/j.spl.2016.03.023}, } @Article{KonzemMahmoud16, author = {Konzem, Scott R. and Mahmoud, Hosam M.}, title = {Characterization and enumeration of certain classes of tenable {P}\'olya urns grown by drawing multisets of balls}, journal = {Methodol. Comput. Appl. Probab.}, year = {2016}, volume = {18}, number = {2}, pages = {359--375}, issn = {1387-5841}, fjournal = {Methodology and Computing in Applied Probability}, mrclass = {60C05 (05A05 65C40)}, mrnumber = {3488582}, mrreviewer = {Mark Dukes}, url = {https://doi.org/10.1007/s11009-014-9421-8}, } @Article{Mahmoud13, author = {Mahmoud, Hosam M.}, title = {Drawing multisets of balls from tenable balanced linear urns}, journal = {Probab. Engrg. Inform. Sci.}, year = {2013}, volume = {27}, number = {2}, pages = {147--162}, issn = {0269-9648}, fjournal = {Probability in the Engineering and Informational Sciences}, mrclass = {60C05 (60G42)}, mrnumber = {3039803}, mrreviewer = {Mark Bollman}, url = {https://doi.org/10.1017/S0269964812000381}, } @Article{SparksMahmoud13, author = {Sparks, Joshua and Mahmoud, Hosam M.}, title = {Phases in the two-color tenable zero-balanced {P}\'olya process}, journal = {Statist. Probab. Lett.}, year = {2013}, volume = {83}, number = {1}, pages = {265--271}, issn = {0167-7152}, fjournal = {Statistics \& Probability Letters}, mrclass = {60G99 (35F05 60C05 60F05 60J27)}, mrnumber = {2998751}, url = {https://doi.org/10.1016/j.spl.2012.08.020}, } @Article{KholfiMahmoud12, author = {Kholfi, Sanaa and Mahmoud, Hosam M.}, title = {The class of tenable zero-balanced {P}\'olya urn schemes: characterization and {G}aussian phases}, journal = {Adv. in Appl. Probab.}, year = {2012}, volume = {44}, number = {3}, pages = {702--728}, issn = {0001-8678}, fjournal = {Advances in Applied Probability}, mrclass = {60C05 (05A05 60F05 60G42 60J10)}, mrnumber = {3024606}, mrreviewer = {Michele Zito}, url = {https://doi.org/10.1239/aap/1346955261}, } @Article{KholfiMahmoud12a, author = {Kholfi, Sanaa and Mahmoud, Hosam M.}, title = {The class of tenable zero-balanced {P}\'olya urns with an initially dominant subset of colors}, journal = {Statist. Probab. Lett.}, year = {2012}, volume = {82}, number = {1}, pages = {49--57}, issn = {0167-7152}, fjournal = {Statistics \& Probability Letters}, mrclass = {60C05 (05A16 60F05 60G42)}, mrnumber = {2863022}, mrreviewer = {Bernhard Gittenberger}, url = {https://doi.org/10.1016/j.spl.2011.08.006}, } @Article{BalajiMahmoudTong10, author = {Balaji, Srinivasan and Mahmoud, Hosam and Tong, Zhang}, title = {Phases in the diffusion of gases via the {E}hrenfest urn model}, journal = {J. Appl. Probab.}, year = {2010}, volume = {47}, number = {3}, pages = {841--855}, issn = {0021-9002}, fjournal = {Journal of Applied Probability}, mrclass = {60C05 (60F05 60G42 82B05)}, mrnumber = {2731352}, url = {https://doi.org/10.1239/jap/1285335413}, } @Book{Mahmoud09, title = {P\'olya urn models}, publisher = {CRC Press}, year = {2009}, author = {Mahmoud, Hosam M.}, isbn = {978-1-4200-5983-0}, mrclass = {60-01 (60C05 60G55 68R05 92B05)}, mrnumber = {2435823}, mrreviewer = {Michele Zito}, pages = {xii+290}, } @Article{MaillerMarckert17, author = {Mailler, C\'ecile and Marckert, Jean-Fran\c{c}ois}, title = {Measure-valued {P}\'olya urn processes}, journal = {Electron. J. Probab.}, year = {2017}, volume = {22}, pages = {Paper No. 26, 33}, issn = {1083-6489}, fjournal = {Electronic Journal of Probability}, mrclass = {60J80}, mrnumber = {3629870}, mrreviewer = {Huili Liu}, url = {https://doi.org/10.1214/17-EJP47}, } @Article{ChauvinGardyPouyanneTon-That16, author = {Chauvin, B and Gardy, D. and Pouyanne, N. and Ton-That, D.-H.}, title = {B-urns}, journal = {ALEA Lat. Am. J. Probab. Math. Stat.}, year = {2016}, volume = {13}, number = {2}, pages = {605--634}, issn = {1980-0436}, fjournal = {ALEA. Latin American Journal of Probability and Mathematical Statistics}, mrclass = {60J80 (68Q87 68W40)}, mrnumber = {3522821}, } @Article{ChauvinMaillerPouyanne15, author = {Chauvin, Brigitte and Mailler, C\'ecile and Pouyanne, Nicolas}, title = {Smoothing equations for large {P}\'olya urns}, journal = {J. Theoret. Probab.}, year = {2015}, volume = {28}, number = {3}, pages = {923--957}, issn = {0894-9840}, fjournal = {Journal of Theoretical Probability}, mrclass = {60C05 (60J80)}, mrnumber = {3413961}, mrreviewer = {Akanksha S. Kashikar}, url = {https://doi.org/10.1007/s10959-013-0530-z}, } @InCollection{Morcrette12, author = {Morcrette, Basile}, title = {Fully analyzing an algebraic {P}\'olya urn model}, booktitle = {L{ATIN} 2012: theoretical informatics}, publisher = {Springer, Heidelberg}, year = {2012}, volume = {7256}, series = {Lecture Notes in Comput. Sci.}, pages = {568--581}, mrclass = {05A15}, mrnumber = {2979077}, url = {https://doi.org/10.1007/978-3-642-29344-3_48}, } @InCollection{FlajoletHuillet08, author = {Flajolet, Philippe and Huillet, Thierry}, title = {Analytic combinatorics of the {M}abinogion urn}, booktitle = {Fifth {C}olloquium on {M}athematics and {C}omputer {S}cience}, publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, year = {2008}, series = {Discrete Math. Theor. Comput. Sci. Proc., AI}, pages = {549--571}, mrclass = {60C05 (05A15 60K35 91D10)}, mrnumber = {2508814}, } @Article{FlajoletGabarroPekari05, author = {Flajolet, Philippe and Gabarr\'o, Joaquim and Pekari, Helmut}, title = {Analytic urns}, journal = {Ann. Probab.}, year = {2005}, volume = {33}, number = {3}, pages = {1200--1233}, issn = {0091-1798}, fjournal = {The Annals of Probability}, mrclass = {60C05 (05A05 60F10 60K99)}, mrnumber = {2135318}, mrreviewer = {Hsien-Kuei Hwang}, url = {https://doi.org/10.1214/009117905000000026}, } @Article{KubaMahmoudPanholzer13, author = {Kuba, Markus and Mahmoud, Hosam and Panholzer, Alois}, title = {Analysis of a generalized {F}riedman's urn with multiple drawings}, journal = {Discrete Appl. Math.}, year = {2013}, volume = {161}, number = {18}, pages = {2968--2984}, issn = {0166-218X}, fjournal = {Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences}, mrclass = {60C05 (05A15 60F05 60G42)}, mrnumber = {3126664}, mrreviewer = {Bernhard Gittenberger}, url = {https://doi.org/10.1016/j.dam.2013.06.022}, } @Article{ChauvinPouyanneSahnoun11, author = {Chauvin, Brigitte and Pouyanne, Nicolas and Sahnoun, Reda}, title = {Limit distributions for large {P}\'olya urns}, journal = {Ann. Appl. Probab.}, year = {2011}, volume = {21}, number = {1}, pages = {1--32}, issn = {1050-5164}, fjournal = {The Annals of Applied Probability}, mrclass = {60C05 (05D40 60J80)}, mrnumber = {2759195}, mrreviewer = {P. Mark Kayll}, url = {https://doi.org/10.1214/10-AAP696}, } @InCollection{FlajoletDumasPuyhaubert06b, author = {Flajolet, Philippe and Dumas, Philippe and Puyhaubert, Vincent}, title = {Some exactly solvable models of urn process theory}, booktitle = {Fourth {C}olloquium on {M}athematics and {C}omputer {S}cience {A}lgorithms, {T}rees, {C}ombinatorics and {P}robabilities}, publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, year = {2006}, series = {Discrete Math. Theor. Comput. Sci. Proc., AG}, pages = {59--118}, mrclass = {60C05 (34A34 60F05 60F10 60J10)}, mrnumber = {2509623}, mrreviewer = {Leonid V. Bogachev}, } @article{FlajoletDumasPuyhaubert06, author = {Flajolet, Philippe and Dumas, Philippe and Puyhaubert, Vincent}, title = {Some exactly solvable models of urn process theory}, year = {2006}, journal = {Discrete Math. Theor. Comput. Sci. Proc.}, volume = {AG}, pages = {59--118}, mrclass = {60C05 (34A34 60F05 60F10 60J10)}, mrnumber = {2509623}, mrreviewer = {Leonid V. Bogachev}, } @Article{KubaMahmoud17, author = {Kuba, Markus and Mahmoud, Hosam M.}, title = {Two-color balanced affine urn models with multiple drawings}, journal = {Adv. in Appl. Math.}, year = {2017}, volume = {90}, pages = {1--26}, issn = {0196-8858}, fjournal = {Advances in Applied Mathematics}, mrclass = {60C05 (60F05 60G42)}, mrnumber = {3666709}, url = {https://doi.org/10.1016/j.aam.2017.04.004}, } @Article{KubaSulzbach17, author = {Kuba, Markus and Sulzbach, Henning}, title = {On martingale tail sums in affine two-color urn models with multiple drawings}, journal = {J. Appl. Probab.}, year = {2017}, volume = {54}, number = {1}, pages = {96--117}, issn = {0021-9002}, fjournal = {Journal of Applied Probability}, mrclass = {60F15 (60C05 60F05 60G42)}, mrnumber = {3632608}, url = {https://doi.org/10.1017/jpr.2016.89}, } @InCollection{MorcretteMahmoud12, author = {Morcrette, Basile and Mahmoud, Hosam M.}, title = {Exactly solvable balanced tenable urns with random entries via the analytic methodology}, booktitle = {23rd {I}ntern. {M}eeting on {P}robabilistic, {C}ombinatorial, and {A}symptotic {M}ethods for the {A}nalysis of {A}lgorithms ({A}of{A}'12)}, publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, year = {2012}, series = {Discrete Math. Theor. Comput. Sci. Proc., AQ}, pages = {219--232}, mrclass = {60C05 (05A10 34A34)}, mrnumber = {2957333}, mrreviewer = {Mark Bollman}, } @Article{ZhangChenMahmoud15, author = {Zhang, Panpan and Chen, Chen and Mahmoud, Hosam}, title = {Explicit characterization of moments of balanced triangular {P}\'olya urns by an elementary approach}, journal = {Statist. Probab. Lett.}, year = {2015}, volume = {96}, pages = {149--153}, issn = {0167-7152}, fjournal = {Statistics \& Probability Letters}, mrclass = {60C05 (60F05 62E10)}, mrnumber = {3281759}, url = {https://doi.org/10.1016/j.spl.2014.09.016}, } @Article{ChungFeller49, author = {Chung, Kai Lai and Feller, W.}, title = {On fluctuations in coin-tossing}, journal = {Proc. Nat. Acad. Sci. U. S. A.}, year = {1949}, volume = {35}, pages = {605--608}, issn = {0027-8424}, fjournal = {Proceedings of the National Academy of Sciences of the United States of America}, mrclass = {60.0X}, mrnumber = {0033459}, mrreviewer = {H. Cram\'er}, url={https://doi.org/10.1073/pnas.35.10.605}, } @Article{Chen08, author = {Chen, Young-Ming}, title = {The {C}hung--{F}eller theorem revisited}, journal = {Discrete Math.}, year = {2008}, volume = {308}, number = {7}, pages = {1328--1329}, issn = {0012-365X}, fjournal = {Discrete Mathematics}, mrclass = {05A15}, mrnumber = {2382368}, mrreviewer = {Sen-Peng Eu}, url = {https://doi.org/10.1016/j.disc.2007.03.068}, } @InProceedings{Marchal03, author = {Marchal, Philippe}, title = {Constructing a sequence of random walks strongly converging to {B}rownian motion}, booktitle = {Discrete random walks ({P}aris, 2003)}, year = {2003}, editor = {Cyril Banderier and Christrian Krattenthaler}, series = {Discrete Math. Theor. Comput. Sci. Proc., AC}, pages = {181--190}, url = {https://www.emis.de/journals/DMTCS/pdfpapers/dmAC0117.pdf}, } @Article{Marchal16, author = {Marchal, Philippe}, title = {Rectangular {Y}oung tableaux and the {J}acobi ensemble}, journal = {Discrete Math. Theor. Comput. Sci. Proceedings}, year = {2016}, volume = {BC}, pages = {839--850}, url_notused = {http://www.lix.polytechnique.fr/~pilaud/FPSAC16/final_3}, eprint = {1510.06598}, eprinttype = {arXiv}, } @Article{DevroyeLaforest90, author = {Devroye, Luc and Laforest, Louise}, title = {An analysis of random {$d$}-dimensional quad trees}, journal = {SIAM J. Comput.}, year = {1990}, volume = {19}, number = {5}, pages = {821--832}, issn = {0097-5397}, doi = {10.1137/0219057}, fjournal = {SIAM Journal on Computing}, mrclass = {68P05 (68Q25)}, mrnumber = {1059656}, url = {https://doi.org/10.1137/0219057}, } @Article{FlajoletGonnetPuechRobson93, author = {Flajolet, Philippe and Gonnet, Gaston and Puech, Claude and Robson, J. M.}, title = {Analytic variations on quadtrees}, journal = {Algorithmica}, year = {1993}, volume = {10}, number = {6}, pages = {473--500}, issn = {0178-4617}, note = {First published as RR-1336, INRIA. 1990.}, doi = {10.1007/BF01891833}, fjournal = {Algorithmica. An International Journal in Computer Science}, mrclass = {68P05 (68P10)}, mrnumber = {1244619}, url = {https://doi.org/10.1007/BF01891833}, } % Also available in electronic version: \url{https://hal.archives-ouvertes.fr/AECF/} @Book{BostanChyzakGiustiLebretonLecerfSalvyEtAl17, title = {Algorithmes Efficaces en Calcul Formel}, publisher = {Fr\'ed\'eric Chyzak (auto-\'edit.)}, year = {2017}, author = {Bostan, Alin and Chyzak, Fr\'ed\'eric and Giusti, Marc and Lebreton, Romain and Lecerf, Gr\'egoire and Salvy, Bruno and Schost, \'Eric}, address = {Palaiseau}, month = sep, isbn = {979-10-699-0947-2}, note = {686 pages. Printed by CreateSpace.}, langid = {french}, language = {french}, url = {https://hal.archives-ouvertes.fr/AECF/}, } @book {Devroye86, AUTHOR = {Devroye, Luc}, TITLE = {Nonuniform random variate generation}, PUBLISHER_notused = {Springer-Verlag, New York}, PUBLISHER = {Springer}, YEAR = {1986}, PAGES_notused = {xvi+843}, ISBN_notused = {0-387-96305-7}, DOI_notused = {10.1007/978-1-4613-8643-8}, URL = {http://luc.devroye.org/rnbookindex.html}, } @InProceedings{BanderierMarchalWallner18a, author = {Cyril Banderier and Philippe Marchal and Michael Wallner}, title = {{Rectangular {Y}oung tableaux with local decreases and the density method for uniform random generation}}, Booktitle_notused={Proceedings of the 11th International Conference on Random and Exhaustive Generation of Combinatorial Structures (\href{http://ceur-ws.org/Vol-2113/}{GASCom 2018}), Athens, Greece, June 18-20, 2018. CEUR Workshop Proceedings}, booktitle = {\href{http://ceur-ws.org/Vol-2113/}{GASCom 2018}, CEUR Workshop Proceedings. Vol.~2113.}, year = {2018}, volume_notused = {2113}, pages = {60--68}, editor_notused = {Ferrari, Luca and Vamvakari, Malvina}, url = {http://ceur-ws.org/Vol-2113/paper5.pdf}, } @InProceedings{Marchal18, author = {Marchal, Philippe}, title = {The density method and permutations with a prescribed descent set}, Booktitle_notused={Proceedings of the 11th International Conference on Random and Exhaustive Generation of Combinatorial Structures (\href{http://ceur-ws.org/Vol-2113/}{GASCom 2018}), Athens, Greece, June 18-20, 2018. CEUR Workshop Proceedings}, booktitle = {\href{http://ceur-ws.org/Vol-2113/}{GASCom 2018}, CEUR Workshop Proceedings. Vol.~2113.}, year = {2018}, volume_notused = {2113}, pages = {179--186}, editor_notused = {Ferrari, Luca and Vamvakari, Malvina}, url={http://ceur-ws.org/Vol-2113/paper19.pdf}, note_notused = {Extending the previous preprint \href{https://hal.archives-ouvertes.fr/hal-00944244/document}{Permutations with a prescribed descent set} from 2014}, } @article{Marchal18b, author = {Marchal, Philippe}, title = {Generating alternating permutations in time $n\log n$}, journal ={Preprint}, url={https://www.math.univ-paris13.fr/~marchal/altperm1.pdf}, year = {2018}, } @Article{BanderierMarchalWallner18, author = {Banderier, Cyril and Marchal, Philippe and Wallner, Michael}, title = {Periodic {P}\'olya urns and an application to {Y}oung tableaux}, journal ={Proceedings of the 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018), Uppsala, 2018}, year = {2018}, pages = {1--12}, url={http://lipn.fr/~cb/Papers/urns.pdf}, } @Article{BanderierMarchalWallner20, author = {Banderier, Cyril and Marchal, Philippe and Wallner, Michael}, title = {Periodic {P}\'olya urns, the density method and asymptotics of {Y}oung tableaux}, journal ={Annals of Probability}, year = {2020}, note_notused={A prelimary conference version appeared in the proceedings of AofA2018}, volume={48}, number={4}, pages = {1821--1965}, url={https://doi.org/10.1214/19-AOP1411}, doi={10.1214/19-AOP1411}, } @Article{Luck14, Author = {Luck, Jean-Marc}, Title = {{On the frequencies of patterns of rises and falls}}, FJournal = {{Physica A}}, Journal = {{Physica A}}, ISSN = {0378-4371}, Volume = {407}, Pages = {252--275}, Year = {2014}, Publisher = {Elsevier (North-Holland), Amsterdam}, Language = {English}, MSC2010 = {60C05 60J20}, Zbl = {1395.60013}, eprint={1309.7764}, eprinttype={arXiv}, doi_notused={https://doi.org/10.1016/j.physa.2014.04.010}, cbcomment={doi not free, in our Biblio/, on arxiv}, } @Article{Basset16, Author = {Basset, Nicolas}, Title = {{Counting and generating permutations in regular classes}}, FJournal = {{Algorithmica}}, Journal = {{Algorithmica}}, ISSN = {0178-4617; 1432-0541/e}, Volume = {76}, Number = {4}, Pages = {989--1034}, Year = {2016}, Publisher_notused = {Springer US, New York, NY}, MSC2010 = {05A05 68Q45 68R10}, Zbl = {1352.05005}, doi_notused={https://doi.org/10.1007/s00453-016-0136-9}, cbcomment={doi not free, in our Biblio/, on hal}, url={https://hal.archives-ouvertes.fr/hal-01093994/document}, } @InCollection{Stanley10, Author = {Stanley, Richard P.}, Title = {A survey of alternating permutations}, BookTitle_Long = {{Combinatorics and graphs. Selected papers based on the presentations at the 20th anniversary conference of IPM on combinatorics, Tehran, Iran, May 15--21, 2009. Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday}}, BookTitle = {{Combinatorics and graphs}}, ISBN = {978-0-8218-4865-4/pbk}, Pages = {165--196}, Year = {2010}, Publisher = {American Mathematical Society (AMS)}, Language = {English}, MSC2010 = {05-02 05A05 05E10 05E05}, Zbl = {1231.05288}, doi_notused={https://doi.org/10.1090/conm/531/10466}, cbcomment={doi not free, in our Biblio/, on arxiv}, eprint = {0912.4240}, eprinttype = {arXiv}, } @book {Stanley1997, AUTHOR = {Stanley, Richard P.}, TITLE = {{Enumerative Combinatorics. Volume 1}}, EDITION = {Second edition}, note={(1st ed. in 1997).}, PUBLISHER = {Cambridge University Press}, YEAR = {2011}, PAGES = {xiv+626}, url={http://www-math.mit.edu/~rstan/ec/ec1.pdf}, } VOLUME = {49}, SERIES = {Cambridge Studies in Advanced Mathematics}, @book {Stanley1999, AUTHOR = {Stanley, Richard P.}, TITLE = {{Enumerative Combinatorics. Volume 2}}, PUBLISHER = {Cambridge University Press}, YEAR = {1999}, PAGES = {xii+581}, url={http://www-math.mit.edu/~rstan/ec/ec1.pdf}, } @Article{DittmerPak2018, author = {Dittmer, Samuel and Pak, Igor}, title = {Counting linear extensions of restricted posets}, year = {2018}, eprinttype = {arXiv}, eprint = {1802.06312}, } @Article{Pak01, author = {Pak, Igor}, title = {Hook length formula and geometric combinatorics}, journal = {S\'{e}m. Lothar. Combin.}, year = {2001}, volume = {46}, pages = {Art. B46f, 13}, issn = {1286-4889}, fjournal = {S\'{e}minaire Lotharingien de Combinatoire}, mrclass = {05E10 (05A15 52B05)}, mrnumber = {1877632}, mrreviewer = {David J. Grabiner}, url = {https://www.mat.univie.ac.at/~slc/wpapers/s46pak.pdf}, } @article {BaryshnikovRomik10, AUTHOR = {Baryshnikov, Yuliy and Romik, Dan}, TITLE = {Enumeration formulas for {Y}oung tableaux in a diagonal strip}, JOURNAL = {Israel J. Math.}, FJOURNAL = {Israel Journal of Mathematics}, VOLUME = {178}, YEAR = {2010}, PAGES = {157--186}, ISSN = {0021-2172}, MRCLASS = {05E10 (05A15)}, MRNUMBER = {2733067}, DOI_notused = {10.1007/s11856-010-0061-6}, EPRINT = {0709.0498}, EPRINTTYPE = {arXiv}, } @article {Elkies03, AUTHOR = {Elkies, Noam D.}, TITLE = {On the sums {$\sum^\infty_{k=-\infty}(4k+1)^{-n}$}}, JOURNAL = {Amer. Math. Monthly}, FJOURNAL = {American Mathematical Monthly}, VOLUME = {110}, YEAR = {2003}, NUMBER = {7}, PAGES = {561--573}, ISSN = {0002-9890}, MRCLASS = {11Y60}, MRNUMBER = {2001148}, MRREVIEWER = {F. Beukers}, DOI_notused = {10.2307/3647742}, EPRINT = {math/0101168}, EPRINTTYPE = {arXiv}, } @article {Carlitz73, AUTHOR = {Carlitz, Leonard}, TITLE = {Permutations with prescribed pattern}, JOURNAL = {Math. Nachr.}, FJOURNAL = {Mathematische Nachrichten}, VOLUME = {58}, YEAR = {1973}, PAGES = {31--53}, ISSN = {0025-584X}, MRCLASS = {05A15}, MRNUMBER = {329912}, MRREVIEWER = {D. J. Kleitman}, DOI = {10.1002/mana.19730580104}, URL = {https://doi.org/10.1002/mana.19730580104}, } @Comment{jabref-meta: databaseType:bibtex;}