32 citations · 115 across the 22 of their papers we have counts for
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math.PR2011★ 20 cited
Transition from ergodic to explosive behavior in a family of stochastic differential equations
Jeremiah Birrell, David P. Herzog, Jan Wehr
We study a family of quadratic stochastic differential equations in the plane, motivated by applications to turbulent transport of heavy particles. Using Lyapunov functions, we fin…
math.PR2011★ 4 cited
Geometric Ergodicity of Two--dimensional Hamiltonian systems with a Lennard--Jones--like Repulsive Potential
Ben Cooke, David P. Herzog, Jonathan C. Mattingly +2
In this paper we establish the ergodicity of Langevin dynamics for simple two-particle system involving a Lennard-Jones type potential. To the best of our knowledge, this is the fi…