Publications [#329567] of Scott C. Schmidler
Papers Published
- Cooke, B; Herzog, DP; Mattingly, JC; Mckinle, SA; Schmidler, SC. "Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential." Communications in Mathematical Sciences 15.7 (January, 2017): 1987-2025. [doi]
(last updated on 2024/04/18)Abstract:
We establish ergodicity of the Langevin dynamics for a simple two-particle system involving a Lennard-Jones type potential. Moreover, we show that the dynamics is geometrically ergodic; that is, the system converges to stationarity exponentially fast. Methods from stochastic averaging are used to establish the existence of the appropriate Lyapunov function.