Dynamical universality for random matrices (Q2128909)

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Language	Label	Description	Also known as
English	Dynamical universality for random matrices	scientific article

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scholarly article

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Dynamical universality for random matrices (English)

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Yosuke Kawamoto

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SN Partial Differential Equations and Applications

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publication date

22 April 2022

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full work available at URL

https://arxiv.org/abs/2107.10752

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zbMATH Keywords

random matrices

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dynamical universality

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Dirichlet forms

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infinite-dimensional stochastic differential equations

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MaRDI profile type

MaRDI publication profile

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Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble

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An Introduction to Random Matrices

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Universality of general \(\beta\)-ensembles

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Brownian Gibbs property for Airy line ensembles

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices

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Universality in Random Matrix Theory for orthogonal and symplectic ensembles

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Dirichlet forms and symmetric Markov processes.

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Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices

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Random Measures, Theory and Applications

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Noncolliding Brownian motion and determinantal processes

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Finite-particle approximations for interacting Brownian particles with logarithmic potentials

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Dynamical bulk scaling limit of Gaussian unitary ensembles and stochastic differential equation gaps

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Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions

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Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields II: the IFC condition

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Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures

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Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry

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Introduction to the theory of (non-symmetric) Dirichlet forms

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Fixed energy universality of Dyson Brownian motion

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Universality in measure in the bulk for varying weights

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A new approach to universality limits involving orthogonal polynomials

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Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

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Non-collision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields

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Tagged particle processes and their non-explosion criteria

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Infinite-dimensional stochastic differential equations related to random matrices

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Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials

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Cores of Dirichlet forms related to random matrix theory

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Strong Markov property of determinantal processes with extended kernels

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Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields

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Orthogonal and symplectic matrix models: universality and other properties

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Random matrices: universality of local spectral statistics of non-Hermitian matrices

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Infinite dimensional stochastic differential equations for Dyson's model

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S42985-022-00154-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2128909

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