Random walkers versus random crowds: diffusion of large matrices

Details Random walkers versus random crowds: diffusion of large matrices Random walkers versus random crowds: diffusion of large matrices

2006-12-17

arxiv.org/abs/cond-mat/0612438v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, no figures, talk presented at the conference "Complex Systems: New Trends and Expectations", Santander, Spain, 5-9 Ju

Scientific paper

We briefly review the random matrix theory for large N by N matrices viewed
as free random variables in a context of stochastic diffusion. We establish a
surprising link between the spectral properties of matrix-valued multiplicative
diffusion processes for hermitian and unitary ensembles.

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