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math.PR2022★ 1 cited
Joint localization of directed polymers
Yuri Bakhtin, Douglas Dow
We consider -dimensional directed polymers in a random potential and provide sufficient conditions guaranteeing joint localization. Joint localization means that for typical…
math.PR2022★ 1 cited
Rare transitions in noisy heteroclinic networks
Yuri Bakhtin, Hong-Bin Chen, Zsolt Pajor-Gyulai
We study small white noise perturbations of planar dynamical systems with heteroclinic networks in the limit of vanishing noise. We show that the probabilities of transitions betwe…