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Permutations that avoid given patterns are among the most classical objects in combinatorics and have strong connections to many fields of mathematics, computer science and biology.
Combinatory analysis, 1915
Percy A MacMahon · 1915
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The art of computer programming. Vol. 1: Fundamental algorithms
Donald E. Knuth · 1969
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Sorting using networks of queues and stacks
Robert Tarjan · 1972
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Computing permutations with double-ended queues, parallel stacks and parallel queues
Vaughan R. Pratt · 1973
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Sums of independent random variables
V. V. Petrov · 1975
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An invariance principle for random walk conditioned by a late return to zero
W. D. Kaigh · 1976
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Asymptotics of Plancherel measure of symmetrical group and limit form of Young tables
Anatoly M Vershik and Sergei V Kerov · 1977
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Asymptotic theory of characters of the symmetric group
Anatolii Moiseevich Vershik and Sergei Vasil’evich Kerov · 1981
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Symmetric functions and P-recursiveness
Ira M Gessel · 1990
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Conditional limit theorems for branching processes
Lajos Takács · 1991
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Some combinatorial properties of Schubert polynomials
Sara C. Billey, William Jockusch, and Richard P. Stanley · 1993
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On the distribution of the length of the longest increasing subsequence of random permutations
Jinho Baik, Percy Deift, and Kurt Johansson · 1999
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Generalized permutation patterns and a classification of the Mahonian statistics
Eric Babson and Einar Steingrımsson · 2000
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Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations
Sara C Billey and Gregory S Warrington · 2001
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Restricted permutations, continued fractions, and Chebyshev polynomials
Toufik Mansour and Alek Vainshtein · 2001
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Combinatorial stochastic processes
J. Pitman · 2002
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The depth first processes of Galton-Watson trees converge to the same Brownian excursion
Jean-François Marckert and Abdelkader Mokkadem · 2003
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Multiple pattern avoidance with respect to fixed points and excedances
Sergi Elizalde · 2004
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A variant of the tandem duplication-random loss model of genome rearrangement
Mathilde Bouvel and Dominique Rossin · 2009
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Analytic combinatorics
Philippe Flajolet and Robert Sedgewick · 2009
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Random pattern-avoiding permutations
Neal Madras and Hailong Liu · 2010
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Brownian motion
Peter Mörters and Yuval Peres · 2010
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Patterns in permutations and words
Sergey Kitaev · 2011
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A unification of permutation patterns related to Schubert varieties
Henning Úlfarsson · 2011
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Fixed points and excedances in restricted permutations
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Statistics on pattern-avoiding permutations
Sergi Elizalde · 2004
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Bijections for refined restricted permutations
Sergi Elizalde and Igor Pak · 2004
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Excluded permutation matrices and the Stanley–Wilf conjecture
Adam Marcus and Gábor Tardos · 2004
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Longest increasing subsequences in pattern-restricted permutations
Emeric Deutsch, AJ Hildebrand, and Herbert S Wilf · 2006
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Bijections from Dyck paths to 321-avoiding permutations revisited
David Callan · 2007
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Tableaux combinatorics for the asymmetric exclusion process
Sylvie Corteel and Lauren K Williams · 2007
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Sergi Elizalde · 2012
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Patterns in random permutations avoiding the pattern 132
Svante Janson · 2014
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Structure of random 312-avoiding permutations
Neal Madras and Lerna Pehlivan · 2014
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The shape of random pattern-avoiding permutations
Sam Miner and Igor Pak · 2014
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Schröder’s problems and scaling limits of random trees
Jim Pitman and Douglas Rizzolo · 2015
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