68 citations · 275 across the 47 of their papers we have counts for
47 papers
Differentiability of the effective Lagrangian for Hamilton-Jacobi-Bellman equations in dynamic random environments
Yuri Bakhtin, Douglas Dow
We prove differentiability of the effective Lagrangian for continuous time multidimensional directed variational problems in random dynamic environments with positive dependence ra…
Differentiability of the Shape Function for Directed Polymers in Continuous Space
Yuri Bakhtin, Douglas Dow
For directed polymers, the shape function computes the limiting average energy accrued by paths with a given average slope. We prove that, for a large family of directed polymer mo…
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…
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…
Dynamic polymers: invariant measures and ordering by noise
Yuri Bakhtin, Hong-Bin Chen
We develop a dynamical approach to infinite volume directed polymer measures in random environments. We define polymer dynamics in 1+1 dimension as a stochastic gradient flow on po…
Singularities of invariant densities for random switching between two linear ODEs in 2D
Yuri Bakhtin, Tobias Hurth, Sean D. Lawley +1
We consider a planar dynamical system generated by two stable linear vector fields with distinct fixed points and random switching between them. We characterize singularities of th…