Motion by mean curvature and Dyson Brownian Motion

Author:

Huang Ching-Peng1,Inauen Dominik2,Menon Govind1

Affiliation:

1. Division of Applied Mathematics, Brown University, 182 George St., Providence, RI 02912

2. Institut für mathematik, Universität Leipzig, D-04109, Leipzig, Germany

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference21 articles.

1. Madan Lal Mehta, Random matrices, third ed., Pure and Applied Mathematics (Amsterdam), vol. 142, Elsevier/Academic Press, Amsterdam, 2004.

2. László Erdős and Horng-Tzer Yau, A dynamical approach to random matrix theory, Courant Lecture Notes in Mathematics, vol. 28, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2017.

3. Freeman J. Dyson, A Brownian-motion model for the eigenvalues of a random matrix, J. Mathematical Phys. 3 (1962), 1191–1198.

4. Romain Allez, Jean-Philippe Bouchaud, and Alice Guionnet, Invariant beta ensembles and the Gauss-Wigner crossover, Physical Review Letters 109 (2012), no. 9, 094102.

5. Romain Allez and Alice Guionnet, A diffusive matrix model for invariant β-ensembles, Electron. J. Probab. 18 (2013), no. 62, 30.

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