Has FindStat helped you make progress on a problem? Did you discover a new conjecture from its data?
If so, please cite it and report the publication by email to info@findstat.org !
M. Rubey, C. Stump, et al. FindStat - The combinatorial statistics database, www.FindStat.org (2022).
@misc{FindStat,
author = {Martin Rubey and Christian Stump and others},
title = {{FindStat} - {T}he combinatorial statistics database},
howpublished = {\url{http://www.FindStat.org}},
url = {http://www.FindStat.org},
note = {Accessed: \today},
}
To reference an individual statistic or map, please use
www.findstat.org/St000123
www.findstat.org/Mp00045
FindStat is listed as #13588 in the swMATH information service for mathematical software.
FindStat citations
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Set-Valued Catalan Combinatorics
- Alexander Lazar, Svante Linusson
- Preprint arXiv (2024)
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Swap distance minimization beyond entropy minimization in word order variation
- Víctor Franco-Sánchez, Arnau Martí-Llobet, Ramon Ferrer-i-Cancho
- Preprint arXiv (2024)
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Language Analysis via the Run and Flattened Statistics on Permutations
- Jennifer Elder, Pamela E. Harris, and Anthony Simpson
- Journal of Humanistic Mathematics 14(2), journal (2024)
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A generalization of conjugation of integer partitions
- Seamus Albion, Theresia Eisenkölbl, Ilse Fischer, Moritz Gangl, Hans Höngesberg, Christian Krattenthaler, and Martin Rubey
- Preprint arXiv (2024)
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Cyclic sieving on permutations--an analysis of maps and statistics in the FindStat database
- Ashleigh Adams, Jennifer Elder, Nadia Lafrenière, Erin McNicholas, Jessica Striker, and Amanda Welch
- Preprint arXiv (2024)
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Making Mathematical Research Data FAIR: A Technology Overview
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Probabilistic Limit Theorems Induced by the Zeros of Polynomials
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Homomesy on permutations with toggling actions
- William Dowling, and Nadia Lafrenière
- Preprint arXiv (2023)
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Coincidences between intervals in two partial orders on complex reflection groups
- Joel Brewster Lewis, and Jiayuan Wang
- Preprint arXiv (2023)
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Two involutions on binary trees and generalizations
- Yang Li, Zhicong Lin, and Tongyuan Zhao
- Preprint arXiv (2023)
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Stirling-Euler-Mahonian Triples of Permutation Statistics
- Frederick Butler
- Preprint arXiv (2023)
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Posets and Fractional Calabi-Yau Categories
- Frédéric Chapoton
- Preprint arXiv (2023)
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A bijectionist’s toolkit
- Alexander Grosz, Tobias Kietreiber, Stephan Pfannerer, and Martin Rubey
- Sém. Lothar. Combin. 89B, journal (2023)
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Stirling-Euler-Mahonian Triples of Permutation Statistics
- Frederick Butler
- Preprint arXiv (2023)
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On the rix statistic and valley-hopping
- Nadia Lafrenière, Yan Zhuang
- Preprint arXiv (2023)
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Homological algebra of Nakayama algebras and 321-avoiding permutations
- Eirini Chavli and Rene Marczinzik
- Preprint arXiv (2022)
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Extreme Values of Permutation Statistics
- Philip Dörr and Thomas Kahle
- Preprint arXiv (2022)
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Homomesies on permutations -- an analysis of maps and statistics in the FindStat database
- Jennifer Elder, Nadia Lafrenière, Erin McNicholas, Jessica Striker, Amanda Welch
- Preprint arXiv (2022)
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Probabilistic Limit Theorems for the Coefficients of a Class of Root-Unitary Polynomials
- Christoph Thäle, Holger Sambale, Nils Heerten
- Preprint arXiv (2022)
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Homological algebra of Nakayama algebras and 321-avoiding permutations
- Eirini Chavli, Rene Marczinzik
- Preprint arXiv (2022)
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The Newton polytope and Lorentzian property of chromatic symmetric functions
- Jacob P. Matherne, Alejandro H. Morales and Jesse Selover
- Preprint arXiv (2022)
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Graphs of sets of reduced words
- Jennifer Elder
- Preprint arXiv (2022)
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Expected value of letters of permutations with a given number of k-cycles
- Peter Kagey
- Preprint arXiv (2021)
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An equidistribution involving invisible inversions
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An area-depth symmetric q,t-Catalan polynomial
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The finitistic dimension of a Nakayama algebra
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A combinatorial classification of 2-regular simple modules for Nakayama algebras
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The set of alternating sign matrices which are determined by their X-ray is a member of the Catalan family
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The birational Lalanne-Kreweras involution
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Counting k-Naples parking functions through permutations and the k-Naples area statistic
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Euler--Catalan's Number Triangle and Its Application
- Yuriy Shablya and Dmitry Kruchinin
- Symmetry 12(4) journal (2020)
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Standard complexes of matroids and lattice paths
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Counting inversions and descents of random elements in finite Coxeter groups
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The Rank Enumeration of Certain Parabolic Non-Crossing Partitions
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Combinatorics and zeros of multivariate polynomials
- Nima Amini
- PhD Thesis, DiVA (2019)
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DiscreteZOO: A Fingerprint Database of Discrete Objects
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Distributions of Statistics over Pattern-Avoiding Permutations
- Michael Bukata, Ryan Kulwicki, Nicholas Lewandowski, Lara Pudwell, Jacob Roth, Teresa Wheeland
- J. Integer Seq. 22, journal (2019)
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Tableaux posets and the fake degrees of coinvariant algebras
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A Geometric Interpretation of the Intertwining Number
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Enumerations relating braid and commutation classes
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Gamma expansions of q-Narayana polynomials, pattern avoidance and the (−1)-phenomenon
- Shishuo Fu, Dazhao Tang, Bin Han and Jiang Zeng
- Preprint, arXiv (2018)
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Identities from representation theory
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Descent distribution on Catalan words avoiding a pattern of length at most three
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Small Ramsey numbers
- Radziszowski, Stanisław P.
- Electron. J. Combin 1(7), revision #15, journal (2017)
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Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection
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Lipschitz polytopes of posets and permutation statistics
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An involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the position of the first double fall
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Combinatorics of diagrams of permutations
- Joel B. Lewis and Alejandro H. Morales
- J. Combin. Theory Ser. A 137, arXiv (2016)
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Counting smaller elements in the Tamari and m-Tamari lattices
- Viviane Pons and Grégory Chatel
- J. Combin. Theory Ser. A 134, arXiv (2015)
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How to decompose a permutation into a pair of labeled Dyck paths by playing a game
- Louis J. Billera, Lionel Levine, and Karola Meszaros
- Proc. Amer. Math. Soc. 143, arXiv (2015)
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Combinatoire algébrique liée aux ordres sur les permutations
- Viviane Pons
- PhD Thesis, arXiv (2013)
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Fingerprint databases for theorems