Fractional free convolution powers (Q5870033)

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scientific article; zbMATH DE number 7642254

Language	Label	Description	Also known as
English	Fractional free convolution powers	scientific article; zbMATH DE number 7642254

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scholarly article

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Fractional free convolution powers (English)

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Dimitri Shlyakhtenko

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Indiana University Mathematics Journal

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publication date

13 January 2023

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full work available at URL

https://arxiv.org/abs/2009.01882

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MaRDI profile type

MaRDI publication profile

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An Introduction to Random Matrices

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Convolution powers in the operator-valued framework

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Solution of Shannon’s problem on the monotonicity of entropy

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ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES

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Some geometric properties of the subordination function associated to an operator-valued free convolution semigroup

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Atoms and regularity for measures in a partially defined free convolution semigroup

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On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution

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Superconvergence to the central limit and failure of the Cramér theorem for free random variables

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Representations of unitary groups and free convolution

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The bead model and limit behaviors of dimer models

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Entropy for expansive algebraic actions of residually finite groups

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A variational principle for domino tilings

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Lectures on Random Lozenge Tilings

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Concentration of the spectral measure for large matrices

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Supports of Measures in a Free Additive Convolution Semigroup

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Scaling limits for non-intersecting polymers and Whittaker measures

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Universality properties of Gelfand-Tsetlin patterns

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On the multiplication of free N -tuples of noncommutative random variables

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A free analogue of Shannon's problem on monotonicity of entropy

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A nonlocal transport equation describing roots of polynomials under differentiation

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Some inequalities satisfied by the quantities of information of Fisher and Shannon

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Limit laws for random matrices and free products

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The analogues of entropy and of Fisher's information measure in free probability theory. I

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The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms

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Free Random Variables

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On the Hausdorff continuity of free Lévy processes and free convolution semigroups

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Identifiers

10.1512/iumj.2022.71.9163

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5870033

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