% Encoding: UTF-8 % This is an example bibliography file for FPSAC submissions. @Article{DGZZ, Author = {Delecroix, Vincent and Goujard, {\'E}lise and Zograf, Peter and Zorich, Anton}, Title = {Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves}, FJournal = {Inventiones Mathematicae}, Journal = {Invent. Math.}, Volume = {230}, Number = {1}, Pages = {123--224}, Year = {2022}, Language = {English}, DOI = {10.1007/s00222-022-01123-y}, Keywords = {14H15,53A35,05A16,60C05,32G15}, zbMATH = {7585646}, Zbl = {1498.14074} } @Article{ChapuyFerayFusy2013Unicellular, author = {Chapuy, Guillaume and F\'{e}ray, Valentin and Fusy, \'{E}ric}, title = {A simple model of trees for unicellular maps}, journal = {J. Combin. Theory Ser. A}, year = {2013}, volume = {120}, number = {8}, pages = {2064--2092}, issn = {0097-3165}, doi = {10.1016/j.jcta.2013.08.003}, fjournal = {Journal of Combinatorial Theory. Series A}, mrclass = {05C10 (05A19)}, mrnumber = {3102175}, mrreviewer = {Anna de Mier}, } @Article{HarerZagier1986Euler, author = {Harer, John and Zagier, Don}, title = {The Euler characteristic of the moduli space of curves}, journal = {Invent. Math.}, year = {1986}, volume = {85}, number = {3}, pages = {457--485}, issn = {0020-9910}, doi = {10.1007/BF01390325}, fjournal = {Inventiones Mathematicae}, mrclass = {32G15 (14H15 57R20)}, mrnumber = {848681}, mrreviewer = {William Abikoff}, } @Article{bullet, Author = {Broutin, Nicolas and Marckert, Jean-Fran{\c{c}}ois}, Title = {The combinatorics of the colliding bullets}, FJournal = {Random Struct. Algor.}, Journal = {Random Struct. Algorithms}, Volume = {56}, Number = {2}, Pages = {401--431}, Year = {2020}, Language = {English}, DOI = {10.1002/rsa.20869}, Keywords = {60C05,60F05}, zbMATH = {7213273}, Zbl = {1446.60008} } @Article{flower, Author = {Lafitte-Godillon, Pauline and Raschel, Kilian and Tran, Viet Chi}, Title = {Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant}, FJournal = {SIAM Journal on Applied Mathematics}, Journal = {SIAM J. Appl. Math.}, Volume = {73}, Number = {2}, Pages = {700--722}, Year = {2013}, Language = {English}, DOI = {10.1137/120864258}, Keywords = {92D10,92C80}, zbMATH = {6190517}, Zbl = {1412.92203} } @article{DYZ, author = {Dubrovin, B. and Yang, Di and Zagier, Don}, year = {2017}, pages = {601-633}, title = {Classical {H}urwitz numbers and related combinatorics}, volume = {17}, fjournal = {Moscow Mathematical Journal}, journal = {Mosc. Math. J.}, url = {http://www.mathjournals.org/mmj/2017-017-004/2017-017-004-003.html} } @Article{logn-vertices, author = {Chmutov, Sergei and Pittel, Boris}, title = {The genus of a random chord diagram is asymptotically normal}, journal = {J. Combin. Theory Ser. A}, year = {2013}, volume = {120}, number = {1}, pages = {102--110}, month = jan, issn = {0097-3165}, doi = {10.1016/j.jcta.2012.07.004}, publisher = {Elsevier BV}, } @Article{KP-triangulation, author = {Goulden, I. P. and Jackson, D. M.}, title = {The KP hierarchy, branched covers, and triangulations}, journal = {Adv. Math.}, year = {2008}, volume = {219}, number = {3}, pages = {932--951}, month = oct, issn = {0001-8708}, doi = {10.1016/j.aim.2008.06.013}, publisher = {Elsevier BV}, } @online{acsv_web, author = {Melczer, Stephen and Pemantle, Robin and Wilson, Marc C.}, title = {The ACSV project}, url = {https://acsvproject.com/}, } @Book{acsv, title = {Analytic Combinatorics in Several Variables}, publisher = {Cambridge University Press}, year = {2024}, author = {Pemantle, Robin and Wilson, Mark C. and Melczer, Stephen}, month = feb, isbn = {9781108836623}, doi = {10.1017/9781108874144}, } @Article{budzinski-louf, author = {Budzinski, Thomas and Louf, Baptiste}, title = {Local limits of uniform triangulations in high genus}, journal = {Invent. Math.}, year = {2020}, volume = {223}, number = {1}, pages = {1--47}, month = jul, issn = {1432-1297}, doi = {10.1007/s00222-020-00986-3}, publisher = {Springer Science and Business Media LLC}, } @Article{meso-genus, AUTHOR = {Curien, Nicolas and Kortchemski, Igor and Marzouk, Cyril}, TITLE = {The mesoscopic geometry of sparse random maps}, JOURNAL = {J. \'Ec. polytech. Math.}, FJOURNAL = {Journal de l'\'Ecole polytechnique. Math\'ematiques}, VOLUME = {9}, YEAR = {2022}, PAGES = {1305--1345}, DOI = {10.5802/jep.207}, URL = {https://doi.org/10.5802/jep.207}, } @Article{linear-genus, author = {Angel, Omer and Chapuy, Guillaume and Curien, Nicolas and Ray, Gourab}, title = {The local limit of unicellular maps in high genus}, journal = {Electron. Commun. Probab.}, year = {2013}, pages = {no. 86, 8}, volume = {18}, issn = {1083-589X}, doi = {10.1214/ecp.v18-3037}, publisher = {Institute of Mathematical Statistics}, } @article{FlinChassaing, AUTHOR = {Chassaing, Philippe and Flin, Jules and Zevio, Alexis}, TITLE = {Pascal's formulas and vector fields}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {32}, YEAR = {2025}, NUMBER = {1}, PAGES = {Paper No. 1.38, 36 pp.}, DOI = {10.37236/12591}, URL = {https://doi.org/10.37236/12591}, } @Article{Temme, Author = {Temme, N. M.}, Title = {Asymptotic estimates of {Stirling} numbers}, FJournal = {Studies in Applied Mathematics}, Journal = {Stud. Appl. Math.}, Volume = {89}, Number = {3}, Pages = {233--243}, Year = {1993}, Language = {English}, DOI = {10.1002/sapm1993893233}, Keywords = {11B73}, URL = {ir.cwi.nl/pub/2304}, zbMATH = {425722}, Zbl = {0784.11007} } @Article{Gao, Author = {Gao, Zhicheng}, Title = {The genus distribution of cubic graphs and asymptotic number of rooted cubic maps with high genus}, FJournal = {The Electronic Journal of Combinatorics}, Journal = {Electron. J. Comb.}, Volume = {31}, Number = {2}, Pages = {research paper p2.49, 20}, Year = {2024}, Language = {English}, DOI = {10.37236/11533}, Keywords = {05C10,05C75,05A15,60B05}, zbMATH = {7882970}, Zbl = {1543.05034} } @Article{compacted-tree, author = {Elvey Price, Andrew and Fang, Wenjie and Wallner, Michael}, title = {Compacted binary trees admit a stretched exponential}, journal = {J. Combin. Ser. A}, year = {2021}, volume = {177}, pages = {105306}, month = jan, issn = {0097-3165}, doi = {10.1016/j.jcta.2020.105306}, publisher = {Elsevier BV}, } @Article{Agg, Author = {Aggarwal, Amol}, Title = {Large genus asymptotics for intersection numbers and principal strata volumes of quadratic differentials}, FJournal = {Inventiones Mathematicae}, Journal = {Invent. Math.}, Volume = {226}, Number = {3}, Pages = {897--1010}, Year = {2021}, Language = {English}, DOI = {10.1007/s00222-021-01059-9}, Keywords = {14H10,32G15,30F30}, zbMATH = {7433733}, Zbl = {1480.14020} } @Book{flajolet, AUTHOR = {Flajolet, Philippe and Sedgewick, Robert}, TITLE = {Analytic combinatorics}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2009}, PAGES = {xiv+810 pp.}, DOI = {10.1017/CBO9780511801655}, } @Comment{jabref-meta: databaseType:bibtex;} @article{guttmannser, title={Series extension: predicting approximate series coefficients from a finite number of exact coefficients}, author={Guttmann, Anthony J}, journal={J. Phys. A}, volume={49}, number={41}, pages={415002}, year={2016}, doi = {10.1088/1751-8113/49/41/415002}, publisher={IOP Publishing} } @article {fuchs2021phylo, AUTHOR = {Fuchs, Michael and Yu, Guan-Ru and Zhang, Louxin}, TITLE = {On the asymptotic growth of the number of tree-child networks}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {93}, YEAR = {2021}, PAGES = {Paper No. 103278, 20 pp.}, MRCLASS = {05C30 (05C05 92D15)}, MRNUMBER = {4186619}, MRREVIEWER = {Shouliu Wei}, DOI = {10.1016/j.ejc.2020.103278}, URL = {https://doi.org/10.1016/j.ejc.2020.103278}, } @article {banderier2021walls, AUTHOR = {Banderier, Cyril and Wallner, Michael}, TITLE = {Young tableaux with periodic walls: counting with the density method}, JOURNAL = {S\'{e}m. Lothar. Combin.}, FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire}, VOLUME = {85B}, YEAR = {2021}, PAGES = {Art. 47, 12}, MRCLASS = {05A15 (05A19)}, MRNUMBER = {4311928}, URL = {https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/47.html}, }