%%%%% BibTeX bibliography database for multivariate generating functions. % BibTeX code taken directly from MathSciNet (http://www.ams.org/mathscinet) % Citation label method taken from Nicholas J. Higham % (author of Handbook of Writing for the Mathematical Sciences). % Use the first four letters of the author's last name followed by the year. % If there are two authors, use the first two letters % of each author's last name, and if three or more, the first letter % of the first three or four authors' last names. % Multiple papers in the same year by the same authors are distinguished by % extra letters 'a', 'b' etc. %%%%% Entries ================================================================= % Keep these in alphabetical order for easy searching! %-a- @ARTICLE{AdBe2012, author = {{Adamczewski}, B. and {Bell}, J.~P.}, title = "{Diagonalization and rationalization of algebraic {L}aurent series}", journal = {ArXiv e-prints}, archivePrefix = "arXiv", eprint = {math.NT/1205.4090}, primaryClass = "math.NT", keywords = {Mathematics - Number Theory}, year = 2012, month = may, } @Article{ADZ1993, title = {Quantum random walks}, author = {Aharonov, Y. and Davidovich, L. and Zagury, N. }, journal = {Phys. Rev. A}, volume = {48}, number = {2}, pages = {1687--1690}, numpages = {3}, year = {1993}, month = {Aug}, doi = {10.1103/PhysRevA.48.1687}, publisher = {American Physical Society} } @book{AiYu1983, AUTHOR = {A{\u\i}zenberg, I. A. and Yuzhakov, A. P.}, TITLE = {Integral representations and residues in multidimensional complex analysis}, SERIES = {Translations of Mathematical Monographs}, VOLUME = {58}, NOTE = {Translated from the Russian by H. H. McFaden, Translation edited by Lev J. Leifman}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {1983}, PAGES = {x+283}, ISBN = {0-8218-4511-X}, MRCLASS = {32A25 (32A27)}, MRNUMBER = {MR735793 (85a:32006)}, } @article{AMR1992, AUTHOR = {Alonso, Mar{\'{\i}}a Emilia and Mora, Teo and Raimondo, Mario}, TITLE = {A computational model for algebraic power series}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {77}, YEAR = {1992}, NUMBER = {1}, PAGES = {1--38}, ISSN = {0022-4049}, CODEN = {JPAAA2}, MRCLASS = {13P10 (13F25)}, MRNUMBER = {MR1148270 (93c:13021)}, MRREVIEWER = {Alessandro Logar}, } @book{AnEr2004, AUTHOR = {Andrews, George E. and Eriksson, Kimmo}, TITLE = {Integer partitions}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2004}, PAGES = {x+141}, ISBN = {0-521-84118-6; 0-521-60090-1}, MRCLASS = {11P81 (00-01 00A05 00A08 05-01 05A17)}, MRNUMBER = {MR2122332 (2006b:11125)}, MRREVIEWER = {Sylvie Corteel}, } @book{AGV1985, AUTHOR = {Arnol'd, V. I. and Guse{\u\i}n-Zade, S. M. and Varchenko, A. N.}, TITLE = {Singularities of differentiable maps. {V}ol. {I}}, SERIES = {Monographs in Mathematics}, VOLUME = {82}, NOTE = {The classification of critical points, caustics and wave fronts, Translated from the Russian by Ian Porteous and Mark Reynolds}, PUBLISHER = {Birkh\"auser Boston Inc.}, ADDRESS = {Boston, MA}, YEAR = {1985}, PAGES = {xi+382}, ISBN = {0-8176-3187-9}, MRCLASS = {58C27}, MRNUMBER = {MR777682 (86f:58018)}, } @book{AGV1988, AUTHOR = {Arnol'd, V. I. and Guse{\u\i}n-Zade, S. M. and Varchenko, A. N.}, TITLE = {Singularities of differentiable maps. {V}ol. {II}}, SERIES = {Monographs in Mathematics}, VOLUME = {83}, NOTE = {Monodromy and asymptotics of integrals, Translated from the Russian by Hugh Porteous, Translation revised by the authors and James Montaldi}, PUBLISHER = {Birkh\"auser Boston Inc.}, ADDRESS = {Boston, MA}, YEAR = {1988}, PAGES = {viii+492}, ISBN = {0-8176-3185-2}, MRCLASS = {58C27 (32B30 32C40 32G11)}, MRNUMBER = {MR966191 (89g:58024)}, } @InProceedings{AsBa2020, author = {Andrei Asinowski and Cyril Banderier}, title = {{On Lattice Paths with Marked Patterns: Generating Functions and Multivariate Gaussian Distribution}}, booktitle = {31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020)}, pages = {1:1--1:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-147-4}, ISSN = {1868-8969}, year = {2020}, volume = {159}, editor = {Michael Drmota and Clemens Heuberger}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/opus/volltexte/2020/12031}, URN = {urn:nbn:de:0030-drops-120317}, doi = {10.4230/LIPIcs.AofA.2020.1}, annote = {Keywords: Lattice path, Dyck path, Motzkin path, generating function, algebraic function, kernel method, context-free grammar, multivariate Gaussian distribution} } @article{ABBG2020, title={Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata}, author={Asinowski, Andrei and Bacher, Axel and Banderier, Cyril and Gittenberger, Bernhard}, journal={Algorithmica}, volume={82}, number={3}, pages={386--428}, year={2020}, publisher={Springer} } @Article{ABG1970, author = "Atiyah, M. and Bott, R. and G{\aa}rding, L.", title = "Lacunas for hyperbolic differential operators with constant coefficients, {I}", journal = "Acta Mathematica", volume = "124", year = "1970", pages = "109--189", } %-b- @book{Bals2000, AUTHOR = {Balser, Werner}, TITLE = {Formal power series and linear systems of meromorphic ordinary differential equations}, SERIES = {Universitext}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2000}, PAGES = {xviii+299}, ISBN = {0-387-98690-1}, MRCLASS = {34Mxx (34-02)}, MRNUMBER = {MR1722871 (2001f:34169)}, MRREVIEWER = {B. L. J. Braaksma}, } @article{BBDF2002, 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 = {Formal power series and algebraic combinatorics (Barcelona, 1999)}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {246}, YEAR = {2002}, NUMBER = {1-3}, PAGES = {29--55}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A15 (05C05)}, MRNUMBER = {MR1884885 (2003c:05008)}, MRREVIEWER = {Mark Curtis Wilson}, } @article {BaFl2002, AUTHOR = {Banderier, Cyril and Flajolet, Philippe}, TITLE = {Basic analytic combinatorics of directed lattice paths}, JOURNAL = {Theoretical Computer Science}, VOLUME = {281}, YEAR = {2002}, NUMBER = {1-2}, PAGES = {37--80}, } @incollection{BFSS2000, AUTHOR = {Banderier, Cyril and Flajolet, Philippe and Schaeffer, Gilles and Soria, Mich{\`e}le}, TITLE = {Planar maps and {A}iry phenomena}, BOOKTITLE = {Automata, languages and programming (Geneva, 2000)}, SERIES = {Lecture Notes in Comput. Sci.}, VOLUME = {1853}, PAGES = {388--402}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2000}, MRCLASS = {68R05 (05C85)}, MRNUMBER = {MR1795907 (2001h:68113)}, } @article{BFSS2001, AUTHOR = {Banderier, Cyril and Flajolet, Philippe and Schaeffer, Gilles and Soria, Mich{\`e}le}, TITLE = {Random maps, coalescing saddles, singularity analysis, and {A}iry phenomena}, NOTE = {Analysis of algorithms (Krynica Morska, 2000)}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = {19}, YEAR = {2001}, NUMBER = {3-4}, PAGES = {194--246}, ISSN = {1042-9832}, MRCLASS = {05A16 (05A15 41A60 60C05 60H25 68R05)}, MRNUMBER = {MR1871555 (2002k:05012)}, MRREVIEWER = {Edward A. Bender}, } @article {BaHi2012, AUTHOR = {Banderier, Cyril and Hitczenko, Pawe{\l}}, TITLE = {Enumeration and asymptotics of restricted compositions having the same number of parts}, JOURNAL = {Discrete Appl. Math.}, FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial Algorithms, Informatics and Computational Sciences}, VOLUME = {160}, YEAR = {2012}, NUMBER = {18}, PAGES = {2542--2554}, ISSN = {0166-218X}, CODEN = {DAMADU}, MRCLASS = {05A17 (05A15)}, MRNUMBER = {2971338}, DOI = {10.1016/j.dam.2011.12.011}, URL = {http://dx.doi.org/10.1016/j.dam.2011.12.011}, } @Article{BaPe2011, author = {{Baryshnikov}, Y. and {Pemantle}, R.}, title = "{Asymptotics of multivariate sequences, part III: quadratic points}", journal = "Adv. Math.", year = "2011", volume = "228", pages = "3127--3206", } @Article{BBBP2010, author = {{Baryshnikov}, Y. and {Brady}, W. and {Bressler}, A. and {Pemantle}, R. }, title = "{Two-dimensional quantum random walk}", journal = "J. Stat. Phys.", year = "2010", volume = "142", pages = "78--107", } @article{BBdB+2012, author = {Bena, Iosif and Berkooz, Micha and de Boer, Jan and El-Showk, Sheer and Van den Bleeken, Dieter}, title = {Scaling BPS Solutions and pure-Higgs States}, journal = {ArXiv e-prints}, archivePrefix = "arXiv", eprint = {hep-th/1205.5023}, primaryClass = "hep-th", year = 2012, month = may, } @article{Bend1973, AUTHOR = {Bender, Edward A.}, TITLE = {Central and local limit theorems applied to asymptotic enumeration}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {15}, YEAR = {1973}, PAGES = {91--111}, MRCLASS = {60F05 (05A15 60C05)}, MRNUMBER = {MR0375433 (51 \#11626)}, MRREVIEWER = {L. Carlitz}, } @article{Bend1974, AUTHOR = {Bender, Edward A.}, TITLE = {Asymptotic methods in enumeration}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {16}, YEAR = {1974}, PAGES = {485--515}, ISSN = {1095-7200}, MRCLASS = {05A15 (41A60)}, MRNUMBER = {MR0376369 (51 \#12545)}, MRREVIEWER = {Bernard Harris}, } @article{Bend1976, AUTHOR = {Bender, Edward A.}, TITLE = {Errata: ``{A}symptotic methods in enumeration'' ({SIAM} {R}ev. {\bf 16} (1974), 485--515)}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {18}, YEAR = {1976}, NUMBER = {2}, PAGES = {292}, ISSN = {1095-7200}, MRCLASS = {05A15 (41A60)}, MRNUMBER = {MR0437344 (55 \#10276)}, } @article{BCM1997, AUTHOR = {Bender, Edward A. and Canfield, E. Rodney and McKay, Brendan D.}, TITLE = {The asymptotic number of labeled graphs with {$n$} vertices, {$q$} edges, and no isolated vertices}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {80}, YEAR = {1997}, NUMBER = {1}, PAGES = {124--150}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05C30}, MRNUMBER = {MR1472108 (98i:05098)}, MRREVIEWER = {E. M. Palmer}, } @article{BeGo1971, AUTHOR = {Bender, Edward A. and Goldman, Jay R.}, TITLE = {Enumerative uses of generating functions}, JOURNAL = {Indiana Univ. Math. J.}, FJOURNAL = {Indiana University Mathematics Journal}, VOLUME = {20}, YEAR = {1970/1971}, PAGES = {753--765}, ISSN = {0022-2518}, MRCLASS = {05.10}, MRNUMBER = {0270931 (42 \#5814)}, MRREVIEWER = {D. A. Klarner}, } @article{BLPW2003, AUTHOR = {Bender, Edward A. and Lawler, Gregory F. and Pemantle, Robin and Wilf, Herbert S.}, TITLE = {Irreducible compositions and the first return to the origin of a random walk}, JOURNAL = {S\'em. Lothar. Combin.}, FJOURNAL = {S\'eminaire Lotharingien de Combinatoire}, VOLUME = {50}, YEAR = {2003/04}, PAGES = {Art. B50h, 13 pp. (electronic)}, MRCLASS = {60C05 (60G50)}, MRNUMBER = {MR2118046 (2005m:60008)}, MRREVIEWER = {Heinrich Niederhausen}, } @article{BeRi1983, AUTHOR = {Bender, Edward A. and Richmond, L. Bruce}, TITLE = {Central and local limit theorems applied to asymptotic enumeration. {II}. {M}ultivariate generating functions}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {34}, YEAR = {1983}, NUMBER = {3}, PAGES = {255--265}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05A15 (60F05)}, MRNUMBER = {MR700034 (85k:05009)}, MRREVIEWER = {E. Rodney Canfield}, } @article{BeRi1996, AUTHOR = {Bender, Edward A. and Richmond, L. Bruce}, TITLE = {Admissible functions and asymptotics for labelled structures by number of components}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {3}, YEAR = {1996}, NUMBER = {1}, PAGES = {Research Paper 34, approx.\ 23 pp.\ (electronic)}, ISSN = {1077-8926}, MRCLASS = {05A16 (41A60)}, MRNUMBER = {MR1418482 (98a:05012)}, MRREVIEWER = {Michael Drmota}, } @article{BeRi1999, AUTHOR = {Bender, Edward A. and Richmond, L. Bruce}, TITLE = {Multivariate asymptotics for products of large powers with applications to {L}agrange inversion}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {6}, YEAR = {1999}, PAGES = {Research Paper 8, 21 pp. (electronic)}, ISSN = {1077-8926}, MRCLASS = {41A60 (05A16)}, MRNUMBER = {MR1670294 (99j:41050)}, } @article{BRW1983, AUTHOR = {Bender, Edward A. and Richmond, L. Bruce and Williamson, S. G.}, TITLE = {Central and local limit theorems applied to asymptotic enumeration. {III}. {M}atrix recursions}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {35}, YEAR = {1983}, NUMBER = {3}, PAGES = {263--278}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05A15 (60F05)}, MRNUMBER = {MR721368 (85k:05010)}, MRREVIEWER = {E. Rodney Canfield}, } @book {BeGa1991, AUTHOR = {Berenstein, Carlos A. and Gay, Roger}, TITLE = {Complex variables}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {125}, NOTE = {An introduction}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1991}, PAGES = {xii+650}, ISBN = {0-387-97349-4}, MRCLASS = {30-01}, MRNUMBER = {1107514 (92f:30001)}, MRREVIEWER = {Manfred Stoll}, } @article{BeBo2011, title={Counting colored planar maps: algebraicity results}, author={Bernardi, Olivier and Bousquet-M{\'e}lou, Mireille}, fjournal={Journal of Combinatorial Theory, Series B}, journal = {J. Combin. Theory Ser. B}, volume={101}, number={5}, pages={315--377}, year={2011}, publisher={Elsevier} } @article{BeMc1993, AUTHOR = {Bertozzi, Andrea and McKenna, James}, TITLE = {Multidimensional residues, generating functions, and their application to queueing networks}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and Applied Mathematics}, VOLUME = {35}, YEAR = {1993}, NUMBER = {2}, PAGES = {239--268}, ISSN = {0036-1445}, CODEN = {SIREAD}, MRCLASS = {32A27 (60K25 90B22)}, MRNUMBER = {MR1220881 (95c:32005)}, } @Article{BiMi1997, author = "Bierstone, E. and Millman, P.", title = "Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant", journal = "Inventiones Mathematicae", volume = "128", year = "1997", pages = "207--302", } @book {BLSWZ1999, AUTHOR = {Bj{\"o}rner, Anders and Las Vergnas, Michel and Sturmfels, Bernd and White, Neil and Ziegler, G{\"u}nter M.}, TITLE = {Oriented matroids}, SERIES = {Encyclopedia of Mathematics and its Applications}, VOLUME = {46}, EDITION = {Second}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1999}, PAGES = {xii+548}, ISBN = {0-521-77750-X}, MRCLASS = {52B40 (05B35 52C35)}, MRNUMBER = {1744046 (2000j:52016)}, DOI = {10.1017/CBO9780511586507}, URL = {http://dx.doi.org/10.1017/CBO9780511586507}, } @book{BlHa1986, AUTHOR = {Bleistein, Norman and Handelsman, Richard A.}, TITLE = {Asymptotic expansions of integrals}, EDITION = {Second}, PUBLISHER = {Dover Publications Inc.}, ADDRESS = {New York}, YEAR = {1986}, PAGES = {xvi+425}, ISBN = {0-486-65082-0}, MRCLASS = {41A60}, MRNUMBER = {MR863284 (89d:41049)}, } @Article{BBL2009, author = "Borcea, J. and Branden, P. and Liggett, T.", title = "Negative dependence and the geometry of polynomials", year = "2009", journal = "J. AMS", volume = "22", pages = "521--567", } @article {BoFl2009, AUTHOR = {B{\'o}na, Mikl{\'o}s and Flajolet, Philippe}, TITLE = {Isomorphism and symmetries in random phylogenetic trees}, JOURNAL = {J. Appl. Probab.}, FJOURNAL = {Journal of Applied Probability}, VOLUME = {46}, YEAR = {2009}, NUMBER = {4}, PAGES = {1005--1019}, ISSN = {0021-9002}, CODEN = {JPRBAM}, MRCLASS = {60C05 (05A15 05A16 05C05 05C80)}, MRNUMBER = {2582703 (2011b:60029)}, MRREVIEWER = {Konstantinos Drakakis}, DOI = {10.1239/jap/1261670685}, URL = {http://dx.doi.org.ezproxy.auckland.ac.nz/10.1239/jap/1261670685}, } @article {BoKn2010, AUTHOR = {B{\'o}na, Mikl{\'o}s and Knopfmacher, Arnold}, TITLE = {On the probability that certain compositions have the same number of parts}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {14}, YEAR = {2010}, NUMBER = {3}, PAGES = {291--306}, ISSN = {0218-0006}, MRCLASS = {05A17 (05A05 05A15 05A16 05A19 06A07)}, MRNUMBER = {2737320 (2012b:05031)}, MRREVIEWER = {Jiang Zeng}, DOI = {10.1007/s00026-010-0060-7}, URL = {http://dx.doi.org.ezproxy.auckland.ac.nz/10.1007/s00026-010-0060-7}, } @inproceedings{BoVi2013, title={The number of ways to assemble a graph}, author={B{\'o}na, Mikl{\'o}s and Vince, Andrew}, booktitle={2013 Proceedings of the Tenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO)}, pages={8--17}, year={2013}, organization={SIAM} } @incollection {BCSLS2007, AUTHOR = {Bostan, Alin and Chyzak, Fr{\'e}d{\'e}ric and Salvy, Bruno and Lecerf, Gr{\'e}goire and Schost, {\'E}ric}, TITLE = {Differential equations for algebraic functions}, BOOKTITLE = {I{SSAC} 2007}, PAGES = {25--32}, PUBLISHER = {ACM}, ADDRESS = {New York}, YEAR = {2007}, MRCLASS = {68W30 (12H05 34M15)}, MRNUMBER = {2396180 (2009e:68122)}, } @inproceedings{BLS2013, author = {Alin Bostan and Pierre Lairez and Bruno Salvy}, title = {Creative telescoping for rational functions using the griffiths: dwork method}, booktitle = {ISSAC}, year = {2013}, pages = {93-100}, ee = {http://doi.acm.org/10.1145/2465506.2465935}, crossref = {DBLP:conf/issac/2013}, bibsource = {DBLP, http://dblp.uni-trier.de} } @article{BBCH2012, title={Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity}, author={Bostan, Alin and Boukraa, Salah and Christol, Gilles and Hassani, Saoud and Maillard, J-M}, journal={arXiv preprint arXiv:1211.6031}, year={2012} } @article{BBCH2013, title={Ising n-fold integrals as diagonals of rational functions and integrality of series expansions}, author={Bostan, Alin and Boukraa, Salah and Christol, Gilles and Hassani, Saoud and Maillard, Jean-Marie}, journal={Journal of Physics A: Mathematical and Theoretical}, volume={46}, number={18}, pages={185202}, year={2013}, publisher={IOP Publishing} } @proceedings{DBLP:conf/issac/2013, editor = {Michael B. Monagan and Gene Cooperman and Mark Giesbrecht}, title = {International Symposium on Symbolic and Algebraic Computation, ISSAC'13, Boston, MA, USA, June 26-29, 2013}, booktitle = {ISSAC}, publisher = {ACM}, year = {2013}, isbn = {978-1-4503-2059-7}, ee = {http://dl.acm.org/citation.cfm?id=2465506}, bibsource = {DBLP, http://dblp.uni-trier.de} } @article{Bous2008, title={Rational and algebraic series in combinatorial enumeration}, author={Bousquet-M{\'e}lou, Mireille}, journal={arXiv preprint arXiv:0805.0588}, year={2008} } @article{BoJe2006, title={Polynomial equations with one catalytic variable, algebraic series and map enumeration}, author={Bousquet-M{\'e}lou, Mireille and Jehanne, Arnaud}, fjournal={Journal of Combinatorial Theory, Series B}, journal = {J. Combin. Theory Ser. B}, volume={96}, number={5}, pages={623--672}, year={2006}, publisher={Elsevier} } @article{BoPe2000, AUTHOR = {Bousquet-M{\'e}lou, Mireille and Petkov{\v{s}}ek, Marko}, TITLE = {Linear recurrences with constant coefficients: the multivariate case}, NOTE = {Formal power series and algebraic combinatorics (Toronto, ON, 1998)}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {225}, YEAR = {2000}, NUMBER = {1-3}, PAGES = {51--75}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A15}, MRNUMBER = {MR1798324 (2002a:05005)}, MRREVIEWER = {Vladimir M. Blinovski{\u\i}}, } @article{BoRe2002, title={Lattice animals and heaps of dimers}, author={Bousquet-M{\'e}lou, Mireille and Rechnitzer, Andrew}, journal={Discrete Mathematics}, volume={258}, number={1-3}, pages={235--274}, year={2002}, publisher={Elsevier} } @article{BoRe2003, title={The site-perimeter of bargraphs}, author={Bousquet-M{\'e}lou, Mireille and Rechnitzer, Andrew}, journal={Advances in Applied Mathematics}, volume={31}, number={1}, pages={86--112}, year={2003}, publisher={Elsevier} } @article{BoSc2002, AUTHOR = {Bousquet-M{\'e}lou, Mireille and Schaeffer, Gilles}, TITLE = {Walks on the slit plane}, JOURNAL = {Probab. Theory Related Fields}, FJOURNAL = {Probability Theory and Related Fields}, VOLUME = {124}, YEAR = {2002}, NUMBER = {3}, PAGES = {305--344}, ISSN = {0178-8051}, CODEN = {PTRFEU}, MRCLASS = {60C05 (60G50)}, MRNUMBER = {MR1939650 (2003h:60013)}, MRREVIEWER = {Martin V. Hildebrand}, } @book{BoVa2004, AUTHOR = {Boyd, Stephen and Vandenberghe, Lieven}, TITLE = {Convex optimization}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2004}, PAGES = {xiv+716}, ISBN = {0-521-83378-7}, MRCLASS = {90-01 (90C05 90C25 90C46 90C51)}, MRNUMBER = {MR2061575 (2005d:90002)}, MRREVIEWER = {Dan Butnariu}, } @incollection {BrPe2007, AUTHOR = {Bressler, Andrew and Pemantle, Robin}, TITLE = {Quantum random walks in one dimension via generating functions}, BOOKTITLE = {2007 {C}onference on {A}nalysis of {A}lgorithms, {A}of{A} 07}, SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AH}, PAGES = {403--412}, PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, YEAR = {2007}, MRCLASS = {81P68 (60E10 68R05 82B41)}, MRNUMBER = {2509537}, } @incollection {Bria2010, AUTHOR = {Briand, Emmanuel}, TITLE = {Covariants vanishing on totally decomposable forms}, BOOKTITLE = {Liaison, {S}chottky problem and invariant theory}, SERIES = {Progr. Math.}, VOLUME = {280}, PAGES = {237--256}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {2010}, MRCLASS = {15A72 (05E10 13P05 13P15 14Q15 81T30)}, MRNUMBER = {2664658 (2011k:15048)}, MRREVIEWER = {Bhupendra Nath Tiwari}, DOI = {10.1007/978-3-0346-0201-3_14}, URL = {http://dx.doi.org/10.1007/978-3-0346-0201-3_14}, } @book{BrKn1986, AUTHOR = {Brieskorn, Egbert and Kn{\"o}rrer, Horst}, TITLE = {Plane algebraic curves}, NOTE = {Translated from the German by John Stillwell}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {1986}, PAGES = {vi+721}, ISBN = {3-7643-1769-8}, MRCLASS = {14-01 (14H20 14Hxx)}, MRNUMBER = {MR886476 (88a:14001)}, } @article{Brig1950, AUTHOR = {Brigham, Nelson A.}, TITLE = {A general asymptotic formula for partition functions}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {1}, YEAR = {1950}, PAGES = {182--191}, ISSN = {0002-9939}, MRCLASS = {10.0X}, MRNUMBER = {MR0034409 (11,582b)}, MRREVIEWER = {L. Mirsky}, } @article{BCCG2015, title={Edge flipping in the complete graph}, author={Butler, Steve and Chung, Fan and Cummings, Jay and Graham, Ron}, journal={Advances in Applied Mathematics}, volume={69}, pages={46--64}, year={2015}, publisher={Elsevier} } %-c- @article{Call2007, title={On generating functions involving the square root of a quadratic polynomial}, author={Callan, David}, fjournal={Journal of Integer Sequences}, journal = {J. 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Discrete Math.}, FJOURNAL = {SIAM Journal on Discrete Mathematics}, VOLUME = {3}, YEAR = {1990}, NUMBER = {2}, PAGES = {216--240}, ISSN = {0895-4801}, CODEN = {SJDMEC}, MRCLASS = {05A15 (30E20 40E05 41A60)}, MRNUMBER = {MR1039294 (90m:05012)}, MRREVIEWER = {E. Rodney Canfield}, } @book{FlSe2009, AUTHOR = {Flajolet, Philippe and Sedgewick, Robert}, TITLE = {Analytic Combinatorics}, PUBLISHER = {Cambridge University Press}, YEAR = {2009}, ISBN = {0521898064}, } @book{FlSe1995, AUTHOR = {Flajolet, Philippe and Sedgewick, Robert}, TITLE = {An introduction to the analysis of algorithms}, PUBLISHER = {Addison-Wesley Professional}, YEAR = {1995}, PAGES = {512}, ISBN = {020140009X}, } @article{FlSo1993, AUTHOR = {Flajolet, Philippe and Soria, Mich{\`e}le}, TITLE = {General combinatorial schemas: {G}aussian limit distributions and exponential tails}, NOTE = {Combinatorics and algorithms (Jerusalem, 1988)}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {114}, YEAR = {1993}, NUMBER = {1-3}, PAGES = {159--180}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A16 (60F05 60F10)}, MRNUMBER = {MR1217750 (94e:05021)}, MRREVIEWER = {Edward A. 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Rodney Canfield}, } @article{GaWo2000, AUTHOR = {Gao, Zhicheng and Wormald, Nicholas C.}, TITLE = {The distribution of the maximum vertex degree in random planar maps}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {89}, YEAR = {2000}, NUMBER = {2}, PAGES = {201--230}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05C80 (05C30)}, MRNUMBER = {MR1741015 (2000m:05211)}, MRREVIEWER = {L. Bruce Richmond}, } @article{GaWo1999, AUTHOR = {Gao, Zhicheng and Wormald, Nicholas C.}, TITLE = {The size of the largest components in random planar maps}, JOURNAL = {SIAM J. Discrete Math.}, FJOURNAL = {SIAM Journal on Discrete Mathematics}, VOLUME = {12}, YEAR = {1999}, NUMBER = {2}, PAGES = {217--228 (electronic)}, ISSN = {0895-4801}, MRCLASS = {05C30 (05C40)}, MRNUMBER = {MR1686830 (2000a:05111)}, MRREVIEWER = {Edward A. 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Combinatorial Algorithms, Optimization and Computer Science}, VOLUME = {34}, YEAR = {1991}, NUMBER = {1-3}, PAGES = {229--239}, ISSN = {0166-218X}, CODEN = {DAMADU}, MRCLASS = {05C40 (05A10 05A15 05A19)}, MRNUMBER = {MR1137996 (92j:05117)}, MRREVIEWER = {Daniel Ashlock}, } @article{Spru1994, AUTHOR = {Sprugnoli, Renzo}, TITLE = {Riordan arrays and combinatorial sums}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {132}, YEAR = {1994}, NUMBER = {1-3}, PAGES = {267--290}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A19 (05A15)}, MRNUMBER = {MR1297386 (96b:05018)}, MRREVIEWER = {Ira Gessel}, } @article{Spru1995, AUTHOR = {Sprugnoli, Renzo}, TITLE = {Riordan arrays and the {A}bel-{G}ould identity}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {142}, YEAR = {1995}, NUMBER = {1-3}, PAGES = {213--233}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A15 (05A19)}, MRNUMBER = {MR1341448 (96f:05014)}, MRREVIEWER = {G. L. 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K.}, TITLE = {Conditions for absolute convergence of series of {T}aylor coefficients of meromorphic functions of two variables}, JOURNAL = {Mat. Sb.}, FJOURNAL = {Matematicheski\u\i\ Sbornik}, VOLUME = {182}, YEAR = {1991}, NUMBER = {11}, PAGES = {1588--1612}, ISSN = {0368-8666}, MRCLASS = {32A20 (32A05)}, MRNUMBER = {MR1137864 (92h:32003)}, MRREVIEWER = {Alexander Russakovski{\u\i}}, } @article{TsYg2004, AUTHOR = {Tsikh, August and Yger, Alain}, TITLE = {Residue currents}, NOTE = {Complex analysis}, JOURNAL = {J. Math. Sci. (N. Y.)}, FJOURNAL = {Journal of Mathematical Sciences (New York)}, VOLUME = {120}, YEAR = {2004}, NUMBER = {6}, PAGES = {1916--1971}, ISSN = {1072-3374}, CODEN = {JMTSEW}, MRCLASS = {32A27 (32C30)}, MRNUMBER = {MR2085502 (2005e:32008)}, MRREVIEWER = {Harold P. Boas}, } %-u- %-v- @incollection {Devr2010, AUTHOR = {DeVries, Timothy}, TITLE = {A case study in bivariate singularity analysis}, BOOKTITLE = {Algorithmic probability and combinatorics}, SERIES = {Contemp. 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M.}, TITLE = {A course in combinatorics}, EDITION = {Second}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2001}, PAGES = {xiv+602}, ISBN = {0-521-00601-5}, MRCLASS = {05-01 (90B10)}, MRNUMBER = {1871828 (2002i:05001)}, } @misc{ViBo2012, author = {Vince, A. and B\'ona, M.}, title = {The number of ways to assemble a graph}, eprinttype = "arXiv", eprint = {1204.3842}, primaryClass = "math.CO", keywords = {Mathematics - Combinatorics, 05C30, 05A15}, year = {2012}, } %-w- @Article{Wagn2011, author = "Wagner, David G.", title = "Multivariate Stable Polynomials: theory and application", journal = "Bull. AMS", volume = "48", year = "2011", pages = "53--84", } @Article{Ward2010, author = "Ward, Mark", title = "Asymptotic rational approximation to Pi: Solution of an unsolved problem posed by Herbert Wilf", journal = "Disc. Math. Theor. Comp. 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Askey}, } @article{vdH2009, author = {J. van der Hoeven}, title = {Ball arithmetic}, journal = {HAL preprints}, archivePrefix = "HAL", eprint = "00432152", year = {2009}, url = {http://hal.archives-ouvertes.fr/hal-00432152/fr/} } @Phdthesis{Devr2011, author = "T. De{V}ries", title = "Algorithms for bivariate singularity analysis", school = "University of Pennsylvania", year = "2011", } @Article{hwang-CLD, author = "Hsien-Kuei Hwang", title = "Large deviations for combinatorial distributions. {I}. {C}entral limit theorems", journal = "Ann. Appl. Probab.", volume = "6", year = "1996", number = "1", pages = "297--319", } @Article{hwang-LLD, author = "Hsien-Kuei Hwang", title = "Large deviations of combinatorial distributions. {I}{I}. {L}ocal limit theorems", journal = "Ann. Appl. 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