10 citations · 33 across the 18 of their papers we have counts for
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math-ph2011★ 2 cited
Bounds for the state-modulated resolvent of a linear Boltzmann generator
Jeremy Clark, Loïc Dubois
We study a generalized resolvent for the generator of a Markovian semigroup. The Markovian generator appears in a linear Boltzmann equation modeling a one-dimensional test particle…
math-ph2011★ 2 cited
A limit theorem to a time-fractional diffusion
Jeremy Clark
We prove a limit theorem for an integral functional of a Markov process. The Markovian dynamics is characterized by a linear Boltzmann equation modeling a one-dimensional test part…
math-ph2011
A Brownian particle in a microscopic periodic potential
Jeremy Clark, Loïc Dubois
We study a model for a massive test particle in a microscopic periodic potential and interacting with a reservoir of light particles. In the regime considered, the fluctuations in…