On the differential equations of frozen Calogero-Moser-Sutherland particle models

DOI10.1016/J.JMAA.2024.128710MaRDI QIDQ6616001

Michael Voit

Publication date: 8 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

interacting particle systemsCalogero-Moser-Sutherland modelszeros of classical orthogonal polynomialsmultivariate Bessel processesinverse heat equationmultivariate Jacobi processes

Mathematics Subject Classification ID

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Cites Work

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• Limit theorems for Jacobi ensembles with large parameters
• The Heckman-Opdam Markov processes
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Markov processes related with Dunkl operators
• Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis
• Diffusing particles with electrostatic repulsion
• The Calogero-Sutherland model and generalized classical polynomials
• Central limit theorems for multivariate Bessel processes in the freezing regime
• Some combinatorial properties of Jack symmetric functions
• Random matrices, magic squares and matching polynomials
• Exact operator solution of the Calogero-Sutherland model
• Limit theorems for multivariate Bessel processes in the freezing regime
• Some martingales associated with multivariate Bessel processes
• Limit theorems for Bessel and Dunkl processes of large dimensions and free convolutions
• The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime
• Some martingales associated with multivariate Jacobi processes and Aomoto's Selberg integral
• Central limit theorems for multivariate Bessel processes in the freezing regime. II. The covariance matrices
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• Counting formulas associated with some random matrix averages
• Strong solutions of non-colliding particle systems
• Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics
• The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform
• Interacting particles on the line and Dunkl intertwining operator of typeA: application to the freezing regime
• Encyclopedia of Special Functions: The Askey-Bateman Project
• Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model
• An Introduction to Random Matrices
• Non‐Colliding Brownian Motions on the Circle
• β-Jacobi processes
• Functional central limit theorems for multivariate Bessel processes in the freezing regime
• Elementary symmetric polynomials and martingales for Heckman-Opdam processes
• THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE
• Two limiting regimes of interacting Bessel processes
• Concerning sets of polynomials orthogonal simultaneously on several circles.
• Freezing limits for Calogero–Moser–Sutherland particle models
• Wigner- and Marchenko-Pastur-type limits for Jacobi processes

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