15 citations · 17 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Complexified cones. Spectral gaps and variational principles
Loïc Dubois, Hans Henrik Rugh
We consider contractions of complexified real cones, as recently introduced by Rugh in [Rugh10]. Dubois [Dub09] gave optimal conditions to determine if a matrix contracts a canonic…
An explicit Berry-Esséen bound for uniformly expanding maps on the interval
Loïc Dubois
For uniformly expanding maps on the interval, analogous versions of the Berry-Esséen theorem are known but only with an unexplicit upper bound in without any consta…
Projective metrics and contraction principles for complex cones
Loic Dubois
In this article, we consider linearly convex complex cones in complex Banach spaces and we define a new projective metric on these cones. Compared to the hyperbolic gauge of Rugh,…