Results 41 to 50 of about 1,209 (75)
On maximal dihedral reflection subgroups and generalized noncrossing partitions [PDF]
, 2023 Thomas Gobet
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Nonhomogeneous parking functions and noncrossing partitions
, 2008 For each skew shape we define a nonhomogeneous symmetric function, generalizing a construction of Pak and Postnikov. In two special cases, we show that the coefficients of this function when expanded in the complete homogeneous basis are given in terms ...
Armstrong, Drew, Eu, Sen-Peng
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Crossings and nestings in colored set partitions [PDF]
, 2013 Chen, Deng, Du, Stanley, and Yan introduced the notion of $k$-crossings and $k$-nestings for set partitions, and proved that the sizes of the largest $k$-crossings and $k$-nestings in the partitions of an $n$-set possess a symmetric joint distribution ...
Marberg, Eric
core
Cumulants, Spreadability and the Campbell-Baker-Hausdorff Series
, 2019 We define spreadability systems as a generalization of exchangeability systems in order to unify various notions of independence and cumulants known in noncommutative probability.
Hasebe, Takahiro, Lehner, Franz
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The cyclic sieving phenomenon: a survey [PDF]
, 2010 The cyclic sieving phenomenon was defined by Reiner, Stanton, and White in a 2004 paper. Let X be a finite set, C be a finite cyclic group acting on X, and f(q) be a polynomial in q with nonnegative integer coefficients.
Sagan, Bruce E.
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Crossings and nestings in set partitions of classical types [PDF]
, 2009 In this article, we investigate bijections on various classes of set partitions of classical types that preserve openers and closers. On the one hand we present bijections that interchange crossings and nestings.
Rubey, Martin, Stump, Christian
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Enumerative properties of generalized associahedra
, 2004 Some enumerative aspects of the fans, called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras are considered, in relation with a bicomplex and its two spectral sequences.
Chapoton, Frederic
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An instance of umbral methods in representation theory: the parking function module
, 2008 We test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functions of length $n$ and the set of all noncrossing partitions of $\{1,2,...,n\
Petrullo, P., Senato, D.
core
Faces of generalized cluster complexes and noncrossing partitions [PDF]
, 2006 Eleni Tzanaki
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Asymptotic Behaviour of Random Vandermonde Matrices with Entries on the Unit Circle
, 2009 Analytical methods for finding moments of random Vandermonde matrices with entries on the unit circle are developed. Vandermonde Matrices play an important role in signal processing and wireless applications such as direction of arrival estimation ...
Mérouane Debbah +2 more
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