Distributions of Statistics over Pattern-Avoiding Permutations (original) (raw)

The joint distribution of consecutive patterns and descents in permutations avoiding 3-1-2

M. Barnabei, Flavio Bonetti

European Journal of Combinatorics, 2010

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Pattern distributions in Dyck paths with a first return decomposition constrained by height

Jean-Luc Baril

arXiv (Cornell University), 2019

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Ascending runs in permutations and valued Dyck paths

Flavio Bonetti

Ars Mathematica Contemporanea

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The Descent Statistic on 123-AVOIDING Permutations

Flavio Bonetti

2010

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The descent statistic over 123-avoiding permutations

Flavio Bonetti

2009

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Permutations weakly avoiding barred patterns and combinatorial bijections to generalized Dyck and Motzkin paths

Phan Thuan

Discrete Mathematics, 2014

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Statistics on permutations

Toufik Mansour

2010

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Permutations avoiding 1324 and patterns in Łukasiewicz paths

David Bevan

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Distribution of sets of descent tops and descent bottoms on restricted permutations

Alexander Burstein

arXiv (Cornell University), 2023

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The distribution of consecutive patterns of length 3 in 3textrm−1textrm−23\textrm{-}1\textrm{-}23textrm1textrm2-avoiding permutations

Flavio Bonetti

2009

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Counting Dyck Paths According to the Maximum Distance Between Peaks and Valleys

Mark Shattuck

Journal of Integer Sequences

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Dyck paths and restricted permutations

Toufik Mansour

Discrete Applied Mathematics, 2006

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Occurrences of consecutive patterns of length 3 in 3-1-2-avoiding permutations

Flavio Bonetti

2009

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Consecutive patterns in restricted permutations and involutions

Flavio Bonetti

2019

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Distribution of peak heights modulo kkk and double descents on kkk-Dyck paths

Alexander Burstein

arXiv: Combinatorics, 2020

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An area-to-inv bijection between Dyck paths and 312-avoiding permutations

Jason Bandlow

JOURNAL OF COMBINATORICS, 2001

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Statistics on Dyck paths

Toufik Mansour

Journal of Integer Sequences, 2006

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Dyck paths with catastrophes modulo the positions of a given pattern

Jean-Luc Baril

ArXiv, 2022

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Recurrence relations for patterns of type (2,1) in flattened permutations

Toufik Mansour

Journal of Difference Equations and Applications, 2013

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The Location of the First Ascent in a 123-Avoiding Permutation

Anant Godbole

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Equivalence of the descents statistic on some (4,4)-avoidance classes of permutations

Toufik Mansour

Journal of Difference Equations and Applications

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Pattern-Functions, Statistics, and Shallow Permutations

Yosef Berman B

Electronic Journal of Combinatorics, 2021

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Enumeration of Dyck paths with air pockets

Jean-Luc Baril

2022

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Exterior Pairs and Up Step Statistics on Dyck Paths

Tung-Shan Fu

The Electronic Journal of Combinatorics, 2011

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Total occurrence statistics on restricted permutations

Alexander Burstein

arXiv: Combinatorics, 2013

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Restricted Dumont permutations, Dyck paths, and noncrossing partitions

Alexander Burstein

Discrete mathematics, 2006

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Random patterns generated by random permutations of natural numbers

O. Vasilyev, Gleb Oshanin

The European Physical Journal Special Topics, 2007

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Pattern avoidance in flattened permutations

Mark Shattuck

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Workshop permutation patterns 2005 List of Abstracts

Toufik Mansour

2005

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Returns and Hills on Generalized Dyck Paths

jillian mcleod

J. Integer Seq., 2016

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On bijections between 231-avoiding permutations and Dyck paths

Christian Stump

2009

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Non-intersecting patience sorting shadow diagrams and barred permutation patterns

Alexander Burstein

Workshop permutation patterns 2005, 2005

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1234-avoiding permutations and Dyck paths

Flavio Bonetti

2011

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