@Article{BaFl-02, Author = {Banderier, Cyril and Flajolet, Philippe}, Title = {Basic analytic combinatorics of directed lattice paths}, FJournal = {Theoretical Computer Science}, Journal = {Theor. Comput. Sci.}, ISSN = {0304-3975}, Volume = {281}, Number = {1-2}, Pages = {37--80}, Year = {2002}, Language = {English}, DOI = {10.1016/S0304-3975(02)00007-5}, Keywords = {68R05}, zbMATH = {1767887}, Zbl = {0996.68126} } @Book{Bil99, Author = {Billingsley, Patrick}, Title = {{Convergence of Probability Measures}}, Edition = {2nd}, FSeries_notused = {Wiley Series in Probability and Statistics}, Series_notused = {Wiley Ser. Probab. Stat.}, ISSN = {1940-6347}, ISBN = {0-471-19745-9}, Year = {1999}, Publisher = {Wiley}, Language = {English}, Keywords = {60-01,60B10,28A33,60B05}, zbMATH = {1354815}, Zbl = {0944.60003}, url={https://www.wiley.com/en-sg/Convergence+of+Probability+Measures%2C+2nd+Edition-p-9781118625965}, } @InCollection{BoMi10, Author = {Bousquet-M{\'e}lou, Mireille and Mishna, Marni}, Title = {Walks with small steps in the quarter plane}, BookTitle = {Algorithmic probability and combinatorics. Papers from the AMS special sessions, Chicago, IL, USA, October 5--6, 2007 and Vancouver, BC, Canada, October 4--5, 2008}, ISBN = {978-0-8218-4783-1}, Pages = {1--39}, Year = {2010}, Publisher_notused = {Providence, RI: American Mathematical Society (AMS)}, Publisher = {American Mathematical Society}, Language = {English}, Keywords = {05A15}, zbMATH = {5831709}, Zbl = {1209.05008}, url={https://hal.archives-ouvertes.fr/hal-00333741/document}, } @Book{BoVa04, Author = {Boyd, Stephen and Vandenberghe, Lieven}, Title = {{Convex Optimization}}, ISBN = {0-521-83378-7}, Year = {2004}, Publisher = {Cambridge University Press}, Language = {English}, Keywords = {90C25,90-01,90-02,90C90}, URL = {https://www.stanford.edu/~boyd/cvxbook/bv_cvxbook.pdf}, zbMATH = {2107836}, Zbl = {1058.90049} } @Article{DeWa15, Author = {Denisov, Denis and Wachtel, Vitali}, Title = {Random walks in cones}, FJournal = {The Annals of Probability}, Journal = {Ann. Probab.}, ISSN = {0091-1798}, Volume = {43}, Number = {3}, Pages = {992--1044}, Year = {2015}, Language = {English}, DOI = {10.1214/13-AOP867}, Keywords = {60G50,60F05,60G40,60J45}, zbMATH = {6455727}, Zbl = {1332.60066} } @Article{DeWa19, Author = {Denisov, Denis and Wachtel, Vitali}, Title = {Alternative constructions of a harmonic function for a random walk in a cone}, FJournal = {Electronic Journal of Probability}, Journal = {Electron. J. Probab.}, ISSN = {1083-6489}, Volume = {24}, Pages = {26 pp.}, Note_notused = {Id/No 92}, Year = {2019}, Language = {English}, DOI = {10.1214/19-EJP349}, Keywords = {60G50,60G40,60F17}, zbMATH = {7107399}, Zbl = {1467.60030} } @Article{DrHaRoSi-20, Author = {Dreyfus, Thomas and Hardouin, Charlotte and Roques, Julien and Singer, Michael F.}, Title = {Walks in the quarter plane: genus zero case}, FJournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Comb. Theory, Ser. A}, ISSN = {0097-3165}, Volume = {174}, Pages = {24 pp.}, Note_notused = {Id/No 105251}, Year = {2020}, Language = {English}, DOI = {10.1016/j.jcta.2020.105251}, Keywords = {05A15,05A16,39A06,30D05}, zbMATH = {7193915}, Zbl = {1439.05015} } @Article{Du14, Author = {Duraj, Jetlir}, Title = {Random walks in cones: the case of nonzero drift}, FJournal = {Stochastic Processes and their Applications}, Journal = {Stochastic Processes Appl.}, ISSN = {0304-4149}, Volume = {124}, Number = {4}, Pages = {1503--1518}, Year = {2014}, Language = {English}, DOI = {10.1016/j.spa.2013.12.003}, Keywords = {60G50}, zbMATH = {6261889}, Zbl = {1319.60088} } @Book{FlaSed09, Author = {Flajolet, Philippe and Sedgewick, Robert}, Title = {Analytic combinatorics}, ISBN = {978-0-521-89806-5}, Year = {2009}, Publisher = {Cambridge University Press}, Language = {English}, Keywords = {05-02,05A15,05A16,60C05,60E10}, zbMATH = {5485323}, Zbl = {1165.05001}, url={http://algo.inria.fr/flajolet/Publications/book.pdf}, } @Book{Fel71, Author = {Feller, William}, Title = {{An Introduction to Probability Theory and Its Applications. {Vol} {II}}}, edition={2nd}, FSeries_notused = {Wiley Series in Probability and Mathematical Statistics}, Series_notused = {Wiley Ser. Probab. Math. Stat.}, Year = {1971}, Publisher_notused = {John Wiley \& Sons, Hoboken, NJ}, Publisher = {John Wiley \& Sons}, Language = {English}, Keywords = {60-01}, zbMATH = {3349081}, Zbl = {0219.60003}, url={https://www.wiley.com/en-us/An+Introduction+to+Probability+Theory+and+Its+Applications%2C+Volume+2%2C+2nd+Edition-p-9780471257097}, } @Article{GaRa13, Author = {Garbit, Rodolphe and Raschel, Kilian}, Title = {On the exit time from a cone for random walks with drift}, FJournal = {Revista Matem{\'a}tica Iberoamericana}, Journal = {Rev. Mat. Iberoam.}, ISSN = {0213-2230}, Volume = {32}, Number = {2}, Pages = {511--532}, Year = {2016}, Language = {English}, DOI = {10.4171/RMI/893}, Keywords = {60G50,60F99,05A16}, zbMATH = {6603469}, Zbl = {1346.60060} } @Article{MeMi-14, Author = {Melczer, Stephen and Mishna, Marni}, Title = {Singularity analysis via the iterated kernel method}, FJournal = {Combinatorics, Probability and Computing}, Journal = {Comb. Probab. Comput.}, ISSN = {0963-5483}, Volume = {23}, Number = {5}, Pages = {861--888}, Year = {2014}, Language = {English}, DOI = {10.1017/S0963548314000145}, Keywords = {05A15,05A16}, zbMATH = {6347424}, Zbl = {1298.05026} } @Article{MiRe-09, Author = {Mishna, Marni and Rechnitzer, Andrew}, Title = {Two non-holonomic lattice walks in the quarter plane}, FJournal = {Theoretical Computer Science}, Journal = {Theor. Comput. Sci.}, ISSN = {0304-3975}, Volume = {410}, Number = {38-40}, Pages = {3616--3630}, Year = {2009}, Language = {English}, DOI = {10.1016/j.tcs.2009.04.008}, Keywords = {05A15,60J10}, zbMATH = {5602724}, Zbl = {1228.05038} }