Results 1 to 10 of about 69,533 (203)
The Matrix Ansatz, Orthogonal Polynomials, and Permutations [PDF]
, 2010 In this paper we outline a Matrix Ansatz approach to some problems of combinatorial enumeration. The idea is that many interesting quantities can be expressed in terms of products of matrices, where the matrices obey certain relations. We illustrate this
Corteel, Sylvie +2 more
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Finite Automata, Probabilistic Method, and Occurrence Enumeration of a Pattern in Words and Permutations [PDF]
SIAM Journal on Discrete Mathematics, 2019 The main theme of this paper is the enumeration of the order-isomorphic occurrence of a pattern in words and permutations. We mainly focus on asymptotic properties of the sequence f r v ( k , n ) , the number of n-array k-ary words that contain a given ...
T. Mansour, R. Rastegar, A. Roitershtein
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On words of non-Hermitian random matrices [PDF]
Annals of Probability, 2019 We consider words $G_{i_1} \cdots G_{i_m}$ involving i.i.d. complex Ginibre matrices, and study their singular values and eigenvalues. We show that the limit distribution of the squared singular values of every word of length $m$ is a Fuss-Catalan ...
Guillaume Dubach, Y. Peled
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Towards Optimal Estimation of Bivariate Isotonic Matrices with Unknown Permutations [PDF]
Annals of Statistics, 2018 Many applications, including rank aggregation, crowd-labeling, and graphon estimation, can be modeled in terms of a bivariate isotonic matrix with unknown permutations acting on its rows and/or columns.
Cheng Mao, A. Pananjady, M. Wainwright
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Combinatorial Hopf algebra structure on packed square matrices [PDF]
, 2015 We construct a new bigraded Hopf algebra whose bases are indexed by square matrices with entries in the alphabet $\{0, 1, ..., k\}$, $k \geq 1$, without null rows or columns.
Cheballah, Hayat +2 more
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Electronic Journal of Combinatorics, 2006 Let $h_\lambda$, $e_\lambda$, and $m_\lambda$ denote the homogeneous symmetric function, the elementary symmetric function and the monomial symmetric function associated with the partition $\lambda$ respectively. We give combinatorial interpretations for
Andrius Kulikauskas, J. Remmel
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Complex Analysis and Operator Theory, 2023 Quantum permutations arise in many aspects of modern “quantum mathematics”. However, the aim of this article is to detach these objects from their context and to give a friendly introduction purely within operator theory.
Moritz Weber
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Equidistributed Statistics on Fishburn Matrices and Permutations [PDF]
Electronic Journal of Combinatorics, 2018 Recently, Jelinek conjectured that there exists a bijection between certain restricted permutations and Fishburn matrices such that the bijection verifies the equidistribution of several statistics. The main objective of this paper is to establish such a
Dandan Chen +2 more
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The Energy Operator for a Model with a Multiparametric Infinite Statistics [PDF]
, 2003 In this paper we consider energy operator (a free Hamiltonian), in the second-quantized approach, for the multiparameter quon algebras: $a_{i}a_{j}^{\dagger}-q_{ij}a_{j}^{\dagger}a_{i} = \delta_{ij}, i,j\in I$ with $(q_{ij})_{i,j\in I}$ any hermitian ...
Ante Perica +13 more
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On the joint distribution of the marginals of multipartite random quantum states [PDF]
, 2020 We study the joint distribution of the set of all marginals of a random Wishart matrix acting on a tensor product Hilbert space. We compute the limiting free mixed cumulants of the marginals, and we show that in the balanced asymptotical regime, the ...
Dartois, Stephane +2 more
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