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math.PR2026
Asymptotic analysis for the Generalized Relativistic Langevin Equation
Ethan Baker, Manh Hong Duong, Hung Dang Nguyen
In this paper, we study a non-Markovian generalized relativistic Langevin equation (GRLE). We show that when the memory kernel is a sum of exponentials, the GRLE is equivalent to a…
math.PR2026
Ergodicity and asymptotic limits for Langevin interacting systems with singular forces and multiplicative noises
Manh Hong Duong, Hung Dang Nguyen, Wenxuan Tao
In this paper, we study systems of interacting particles described by the classical and relativistic Langevin dynamics with singular forces and multiplicative noises. For the c…