5 citations · 17 across the 7 of their papers we have counts for
7 papers
Doeblin measures: uniqueness and mixing properties
Noam Berger, Diana Conache, Anders Johannson +1
In this paper we solve two open problems in ergodic theory. We prove first that if a Doeblin function (a -function) satisfies \[\limsup_{n\to\infty}\frac{\mbox{var}_n \log g…
Variance of voltages in a lattice Coulomb gas
Diana Conache, Markus Heydenreich, Franz Merkl +1
We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb…
Dislocation lines in three-dimensional solids at low temperature
Roland Bauerschmidt, Diana Conache, Markus Heydenreich +2
We propose a model for three-dimensional solids on a mesoscopic scale with a statistical mechanical description of dislocation lines in thermal equilibrium. The model has a lineari…
One-sided continuity properties for the Schonmann projection
Stein Andreas Bethuelsen, Diana Conache
We consider the plus-phase of the two-dimensional Ising model below the critical temperature. In Schonmann proved that the projection of this measure onto a one-dimensional…
Equilibrium diffusion on the cone of discrete Radon measures
Diana Conache, Yuri G. Kondratiev, Eugene Lytvynov
Let denote the cone of discrete Radon measures on . There is a natural differentiation on : for a differentiable funct…
Gibbs Measures on Marked Configuration Spaces: Existence and Uniqueness
Diana Conache, Alexei Daletskii, Yuri Kondratiev +1
We study equilibrium states of an infinite system of interacting particles in a Euclidean space. The particles bear `unbounded' spins with a given symmetric a priori distribution.…