Results 21 to 30 of about 13,504 (178)
Certain group dynamical systems induced by Hecke algebras [PDF]
Opuscula Mathematica, 2016 In this paper, we study dynamical systems induced by a certain group \(\mathfrak{T}_{N}^{K}\) embedded in the Hecke algebra \(\mathcal{H}(G_{p})\) induced by the generalized linear group \(G_{p} = GL_{2}(\mathbb{Q}_{p})\) over the \(p\)-adic number ...
Ilwoo Cho
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Rank one HCIZ at high temperature: interpolating between classical and free convolutions
SciPost Physics, 2022 We study the rank one Harish-Chandra-Itzykson-Zuber integral in the limit where $\frac{N \beta}{2} \to c $, called the high temperature regime and show that it can be used to construct a promising one-parameter interpolation, with parameter $c ...
Pierre Mergny, Marc Potters
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The splitting process in free probability theory [PDF]
, 2015 Free cumulants were introduced by Speicher as a proper analog of classical cumulants in Voiculescu's theory of free probability. The relation between free moments and free cumulants is usually described in terms of Moebius calculus over the lattice of ...
Ebrahimi-Fard, Kurusch, Patras, Frederic
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Combinatorics of Free Cumulants
Journal of Combinatorial Theory, Series A, 2000 26 pages ...
Krawczyk, Bernadette, Speicher, Roland
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Cumulants of the QCD topological charge distribution
Physics Letters B, 2015 The distribution of the QCD topological charge can be described by cumulants, with the lowest one being the topological susceptibility. The vacuum energy density in a θ-vacuum is the generating function for these cumulants.
Feng-Kun Guo, Ulf-G. Meißner
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, 2010 In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.
Hasebe, Takahiro, Saigo, Hayato
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Relations between cumulants in noncommutative probability [PDF]
, 2014 We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations.
Arizmendi, Octavio +3 more
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${\epsilon}$ -Noncrossing Partitions and Cumulants in Free Probability [PDF]
International Mathematics Research Notices, 2017 Motivated by recent work on mixtures of classical and free probabilities, we introduce and study the notion of $ $-noncrossing partitions. It is shown that the set of such partitions forms a lattice, which interpolates as a poset between the poset of partitions and the one of noncrossing partitions. Moreover, $ $-cumulants are introduced and shown to
Ebrahimi-Fard, Kurusch +2 more
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Coherent Fluctuations in Noisy Mesoscopic Systems, the Open Quantum SSEP, and Free Probability
Physical Review X, 2023 Quantum coherences characterize the ability of particles to quantum mechanically interfere within some given distances. In the context of noisy many-body quantum systems, these coherences can fluctuate. A simple toy model to study such fluctuations in an
Ludwig Hruza, Denis Bernard
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A Spin Analogue of Kerov Polynomials [PDF]
, 2018 Kerov polynomials describe normalized irreducible characters of the symmetric groups in terms of the free cumulants associated with Young diagrams.
Matsumoto, Sho
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