4 papers
On the conservation of specific energy and entropy in infinite anharmonic systems
Gaia Pozzoli, Renaud Raquépas
We work with infinite, closed, translation-invariant, finite-range lattice systems with "unbounded classical spins", also known as anharmonic crystals, under assumptions close to t…
Random attractors and nonergodic attractors for diffusions with degeneracies
Yuri Bakhtin, Renaud Raquépas, Lai-Sang Young
We consider a diffusion on a bounded domain, assuming that the system is irreducible inside the domain and that the diffusion has varying degree of degeneracy on the domain's bound…
Divergence-free drifts decrease concentration
Elias Hess-Childs, Renaud Raquépas, Keefer Rowan
We show that bounded divergence-free vector fields decrease the ''concentration'', quantified by the modulus of absolute contin…
Quenched large deviations of Birkhoff sums along random quantum measurements
Renaud Raquépas, Jeffrey Schenker
We prove a quenched version of the large deviation principle for Birkhoff-like sums along a sequence of random quantum measurements driven by an ergodic process. We apply the resul…