6 papers · 1 filter
Quenched functional central limit theorem for the random conductance model under minimal moments
Leonid Kolesnikov, Yannic Steenbeck
We prove a quenched functional central limit theorem for the random conductance model with ergodic translation-invariant, strictly positive nearest-neighbor conductances, assuming…
On the stationary measures of the critical Ornstein--Uhlenbeck process
Jean-Dominique Deuschel, Jonas Köppl, Yannic Steenbeck +1
We study linear and symmetric diffusion processes on that can be seen as the Langevin dynamics of the (inhomogeneous) harmonic crystal for given conduct…
Can one feel the existence of a non-trivial invariant measure?
Yannic Steenbeck
It is shown that a bounded linear map on a complex separable Hilbert space with non-trivial invariant probability measures doesn't have to possess eigenvalues. This resolves a ques…
Asymptotically complete free-energy dissipation: a coarse MLSI holds at any positive temperature
Jonas Köppl, Yannic Steenbeck
Everybody learns in school that an out-of-equilibrium system coupled to a heat bath at a fixed temperature evolves to thermodynamic equilibrium as time goes on, and the free energy…
Modified log-Sobolev inequalities, concentration bounds and uniqueness of Gibbs measures
Yannic Steenbeck
We prove that there is only one translation-invariant Gibbsian point process w.r.t. to a chosen interaction if any of them satisfies a certain bound related to concentration-of-mea…
Reversible birth-and-death dynamics in continuum: a de Bruijn-type identity for free-energy dissipation
Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck +1
We investigate free-energy dissipation in a continuous-time birth-and-death dynamics in . For these Markov processes, the class of reversible measures coincides with…