M. Adler

activity

19972005

most citedPDEs for the joint distributions of the Dyson, Airy and Sine processes

63 citations · 64 across the 3 of their papers we have counts for

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2 papers · 1 filter

math-ph2002

Recursion relations for Unitary integrals, Combinatorics and the Toeplitz Lattice

Mark Adler Pierre van Moerbeke

The Toeplitz determinants (of increasing size) associated with the symbols $e x p t (z + z^{- 1})$ or $(1 - ξ z)^{α} (1 - ξ z^{- 1})^{β}$ satisfy recursion relations, thus expressing all the T…

math-ph2000

Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum

Mark Adler, Pierre van Moerbeke

Given the Hermitian, symmetric and symplectic ensembles, it is shown that the probability that the spectrum belongs to one or several intervals satisfies a nonlinear PDE. This is d…