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Critical behavior of nonintersecting Brownian motions at a tacnode

Critical behavior of nonintersecting Brownian motions at a tacnode

Abstract We study a model of n oneā€dimensional, nonintersecting Brownian motions with two prescribed starting points at time t = 0 and two prescribed ending points at time t = 1 in a critical regime where the paths fill two tangent ellipses in the timeā€space plane as n ā†’ āˆž. ā€¦