Results 11 to 20 of about 15,858 (200)
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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Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers [PDF]
, 2007 .We prove conjectures of the third author [L. Tevlin, Proc. FPSAC’07, Tianjin] on two new bases of noncommutative symmetric functions: the transition matrices from the ribbon basis have nonnegative integral coefficients.
F. Hivert +3 more
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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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Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations [PDF]
Journal of Combinatorial Theory, 2018 The combined work of Bousquet-M\'elou, Claesson, Dukes, Jel\'inek, Kitaev, Kubitzke and Parviainen has resulted in non-trivial bijections among ascent sequences, (2+2)-free posets, upper-triangular integer matrices, and pattern-avoiding permutations.
M. Dukes, Peter R. W. McNamara
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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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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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On shortening u-cycles and u-words for permutations [PDF]
Discrete Applied Mathematics, 2017 This paper initiates the study of shortening universal cycles (u-cycles) and universal words (u-words) for permutations either by using incomparable elements, or by using non-deterministic symbols.
S. Kitaev, V. Potapov, V. Vajnovszki
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Asymptotic free independence and entry permutations for Gaussian random matrices [PDF]
, 2018 The paper presents conditions on entry permutations that induce asymptotic freeness when acting on Gaussian random matrices. The class of permutations described includes the matrix transpose, as well as entry permutations relevant in Quantum Information ...
M. Popa
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, 2016 Background/Objectives: Salsa and ChaCha are commonly used encryption primitives. Both Salsa and ChaCha core use Quarter round as its core function. The objective of the paper is to analyze the diffusion property of Quarter round of both these algorithms ...
R. Sobti, Geetha Ganesan
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