117 citations · 646 across the 47 of their papers we have counts for
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From the Pearcey to the Airy process
Mark Adler, Mattia Cafasso, Pierre van Moerbeke
Putting dynamics into random matrix models leads to finitely many nonintersecting Brownian motions on the real line for the eigenvalues, as was discovered by Dyson. Applying scalin…
Nonintersecting random walks in the neighborhood of a symmetric tacnode
Mark Adler, Patrik L. Ferrari, Pierre van Moerbeke
Consider a continuous time random walk in with independent and exponentially distributed jumps . The model in this paper consists in an infinite number of such r…
Consecutive Minors for Dyson's Brownian Motions
Mark Adler, Eric Nordenstam, Pierre van Moerbeke
In 1962, Dyson introduced dynamics in random matrix models, in particular into GUE (also for beta=1 and 4), by letting the entries evolve according to independent Ornstein-Uhlenbec…
The Dyson Brownian minor process
Mark Adler, Eric Nordenstam, Pierre van Moerbeke
Consider an Hermitean matrix valued stochastic process where the matrix elements evolve according to Ornstein-Uhlenbeck processes. It is well known…
Non-intersecting Brownian motions leaving from and going to several points
Mark Adler, Pierre van Moerbeke, Didier Vanderstichelen
Consider n non-intersecting Brownian motions on , depending on time , with particles forced to leave from at time , , and $…