Interacting particles on the line and Dunkl intertwining operator of typeA: application to the freezing regime
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Publication:3165216
DOI10.1088/1751-8113/45/39/395201zbMath1263.82036arXiv1202.5052OpenAlexW3100941822MaRDI QIDQ3165216
Makoto Katori, Sergio Andraus, Seiji Miyashita
Publication date: 26 October 2012
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.5052
Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65)
Related Items (17)
Limit theorems for Jacobi ensembles with large parameters ⋮ High–low temperature dualities for the classical β-ensembles ⋮ The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime ⋮ Two-step asymptotics of scaled Dunkl processes ⋮ Zeros of generalized Hermite polynomials and ensemble of Gaussian random matrices ⋮ Potential kernels for radial Dunkl Laplacians ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ Unnamed Item ⋮ Central limit theorems for multivariate Bessel processes in the freezing regime ⋮ Limit theorems for multivariate Bessel processes in the freezing regime ⋮ Some martingales associated with multivariate Bessel processes ⋮ Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials ⋮ Functional central limit theorems for multivariate Bessel processes in the freezing regime ⋮ Limit theorems for Bessel and Dunkl processes of large dimensions and free convolutions ⋮ Central limit theorems for multivariate Bessel processes in the freezing regime. II. The covariance matrices ⋮ Freezing limits for beta-Cauchy ensembles ⋮ Dunkl jump processes: relaxation and a phase transition
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