The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime

DOI10.14492/hokmj/2020-307OpenAlexW2980490518WikidataQ115237664 ScholiaQ115237664MaRDI QIDQ2134179

Jeannette H. C. Woerner, Michael Voit

Publication date: 6 May 2022

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07888

zbMATH Keywords

interacting particle systemsexistence and uniqueness of solutionsproperties of solutionsCalogero-Moser-Sutherland modelsODE in the freezing limit

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Diffusion processes (60J60) Ordinary differential equations and systems with randomness (34F05) (n)-body problems (70F10) Hypergeometric functions associated with root systems (33C67) Random and stochastic aspects of the mechanics of particles and systems (70Lxx)

Related Items (3)

Elementary symmetric polynomials and martingales for Heckman-Opdam processes ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ Unnamed Item

Cites Work

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• The Heckman-Opdam Markov processes
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Markov processes related with Dunkl operators
• Central limit theorems for multivariate Bessel processes in the freezing regime
• Limit theorems for multivariate Bessel processes in the freezing regime
• Central limit theorems for multivariate Bessel processes in the freezing regime. II. The covariance matrices
• Strong solutions of non-colliding particle systems
• Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics
• Interacting particles on the line and Dunkl intertwining operator of typeA: application to the freezing regime
• Matrix models for beta ensembles
• Functional central limit theorems for multivariate Bessel processes in the freezing regime
• Two limiting regimes of interacting Bessel processes

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