Elliptic determinantal processes and elliptic Dyson models

DOI10.3842/SIGMA.2017.079zbMath1395.60101arXiv1703.03914OpenAlexW2595131527MaRDI QIDQ1692178

Makoto Katori

Publication date: 26 January 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03914

zbMATH Keywords

elliptic determinant evaluationsdeterminantal martingaleselliptic determinantal processeselliptic Dyson modelsirreducible reduced affine root systems

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Brownian motion (60J65) Martingales with continuous parameter (60G44) Elliptic functions and integrals (33E05) Root systems (17B22)

Related Items (5)

О вычислении градиента в методе коррекции потоков ⋮ Macdonald denominators for affine root systems, orthogonal theta functions, and elliptic determinantal point processes ⋮ Two-dimensional elliptic determinantal point processes and related systems ⋮ Excursion processes associated with elliptic combinatorics ⋮ Polyanalytic reproducing Kernels on the quantized annulus

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