15 citations · 17 across the 6 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
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…
math.MG2011
A uniform contraction principle for bounded Apollonian embeddings
Loïc Dubois, Hans Henrik Rugh
Let H denote the standard one-point completion of a real Hilbert space. Given any non-trivial proper sub-set U of H one may define the so-called `Apollonian' metric d_U on U. When…