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math.AP2026
Time-optimal problem in the space of probabilities measures
Yurii Averboukh, Ekaterina Kolpakova
This paper focuses on the value function in the time-optimal problem for a continuity equation in the space of probability measures. We derive the dynamic programming principle for…
math.AP2024
Continuous time Markov chain based approximation of stationary and weak KAM Hamilton-Jacobi equations
Yurii Averboukh
Main objects of the paper are stationary and weak KAM Hamilton-Jacobi equations on the finite-dimensional torus. The key idea of the paper is to replace the underlying calculus of…