27 citations · 28 across the 6 of their papers we have counts for
6 papers · 1 filter
Concentration inequalities for random fields via coupling
J. -R. Chazottes, P. Collet, C. Kuelske +1
We present a new and simple approach to concentration inequalities for functions around their expectation with respect to non-product measures, i.e., for dependent random variables…
On approximate pattern matching for a class of Gibbs random fields
Jean-Rene Chazottes, Frank Redig, Evgeny Verbitskiy
We prove an exponential approximation for the law of approximate occurrence of typical patterns for a class of Gibssian sources on the lattice , . From this re…
Relative entropy and variational properties of generalized Gibbsian measures
Christof Kulske, Arnaud Le Ny, Frank Redig
We study the relative entropy density for generalized Gibbs measures. We first show its existence and obtain a familiar expression in terms of entropy and relative energy for a cla…
Maximal clusters in non-critical percolation and related models
Remco van der Hofstad, Frank Redig
We investigate the maximal non-critical cluster in a big box in various percolation-type models. We investigate its typical size, and the fluctuations around this typical size. The…
Variational principle for generalized Gibbsian measures
Christof Kuelske, Arnaud Le Ny, Frank Redig
We study the thermodynamic formalism for generalized Gibbs measures, such as renormalization group transformations of Gibbs measures or joint measures of disordered spin systems. W…
Variational principle and almost quasilocality for some renormalized measures
Roberto Fernandez, Arnaud Le Ny, Frank Redig
We restore part of the thermodynamic formalism for some renormalized measures that are known to be non-Gibbsian. We first point out that a recent theory due to Pfister implies that…