9 papers
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…
Reversible birth-and-death dynamics in continuum: free-energy dissipation and attractor properties
Yannic Steenbeck, Alexander Zass, Jonas Köppl +1
We consider continuous-time birth-and-death dynamics in that admit at least one infinite-volume Gibbs point process based on area interactions as a reversible measur…
Throughput in inhomogeneous planar drainage networks
Partha Pratim Ghosh, Benedikt Jahnel, Yannic Steenbeck
We consider navigation schemes on planar diluted lattices and semi lattices with one discrete and one continuous component. More precisely, nodes that survive inhomogeneous Bernoul…
The variational principle for a marked Gibbs point process with infinite-range multibody interactions
Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck +1
We prove the Gibbs variational principle for the Asakura--Oosawa model in which particles of random size obey a hardcore constraint of non-overlap and are additionally subject to a…