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math.PR2024
Differentiability of limit shapes in continuous first passage percolation models
Yuri Bakhtin, Douglas Dow
We introduce and study a class of abstract continuous action minimization problems that generalize continuous first and last passage percolation. In this class of models a limit sh…
math.PR2023
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…
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…