68 citations · 275 across the 47 of their papers we have counts for
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math.PR2007★ 14 cited
Large Deviations for Random Trees
Yuri Bakhtin, Christine Heitsch
We consider large random trees under Gibbs distributions and prove a Large Deviation Principle (LDP) for the distribution of degrees of vertices of the tree. The LDP rate function…
math.PR2007
Noisy heteroclinic networks
Yuri Bakhtin
We consider a white noise perturbation of dynamics in the neighborhood of a heteroclinic network. We show that under the logarithmic time rescaling the diffusion converges in distr…
math.PR2007★ 23 cited
Exit asymptotics for small diffusion about an unstable equilibrium
Yuri Bakhtin
A dynamical system perturbed by white noise in a neighborhood of an unstable fixed point is considered. We obtain the exit asymptotics in the limit of vanishing noise intensity. Th…