A direct method for the analyticity of the pressure for certain classical unbounded models.
Approximation of mixing point configuration spaces over by spaces of set configurations
Asymptotics of counts of small components in random structures and models of coagulation-fragmentation
We establish necessary and sufficient conditions for the convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. The multiplicative measures depict distributions of component spectra of random structures and also the equilibria of classic models of statistical mechanics and stochastic processes of coagulation-fragmentation. We show that the convergence of multiplicative measures is equivalent to the asymptotic independence of counts of...
Bernouilli and Gibbs Probabilities of Subgroups of {0, 1} s.
Cascaded Channels and the Equivocation Inequality.
Chaotic hypothesis and universal large deviations properties.
Combinatorics and cluster expansions.
Decimation on the Two Dimensionnal Ising Model : Non Gibbsianness at Low Temperature. Almost Gibbsianness or Weak Gibbsianness ?
Dynamique des nombres et physique des oscillateurs
Nous présentons un modèle mathématique permettant de reproduire le spectre expérimental des fréquences dans un composant électronique appelé boucle ouverte. Le spectre semble s’organiser suivant une contrainte de nature diophantienne sur les fréquences. Sa structure peut donc se comprendre via une étude de l’ensemble des fractions continues en fonction de leur longueur et de la taille des quotients partiels.
Ergodic and central limit theorems in statistical mechanics in continuous case
Estimating interactions in binary data sequences
Existence of ground state configurations.
Expansion for the Lyapunov exponent of the one-dimensional Anderson model at low disorder.
Generalized canonical states
Generalized probability functions.
Graph weights arising from Mayer's theory of cluster integrals.
Hard balls gas and Alexandrov spaces of curvature bounded above.
On coarse-grained entropy and mixing in statistical mechanics.
On nonperturbative localization with quasi-periodic potential.
On relations between additive and multiplacative clustering operators