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math.CV2009
A graph-based equilibrium problem for the limiting distribution of non-intersecting Brownian motions at low temperature
Steven Delvaux, Arno B. J. Kuijlaars
We consider n non-intersecting Brownian motion paths with p prescribed starting positions at time t=0 and q prescribed ending positions at time t=1. The positions of the paths at a…
math.CV2008★ 7 cited
A phase transition for non-intersecting Brownian motions, and the Painleve II equation
Steven Delvaux, Arno B. J. Kuijlaars
We consider n non-intersecting Brownian motions with two fixed starting positions and two fixed ending positions in the large n limit. We show that in case of 'large separation' be…