Stochastic bifurcation models

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Stochastic bifurcation models

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Title: Stochastic bifurcation models
Author: Burdzy, Krzysztof; Bass, Richard F.
Abstract: We study an ordinary differential equation controlled by a stochastic process. We present results on existence and uniqueness of solutions, on associated local times (Trotter and Ray-Knight theorems), and on time and direction of bifurcation. A relationship with Lipschitz approximations to Brownian paths is also discussed.

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