Charles-Edouard Pfister

On the absence of spontaneous symmetry breaking and of crystalline ordering in two-dimensional systems

We develop a unified approach, based on Arakis relative entropy concept, to proving absence of spontaneous breaking of continuous, internal symmetries and translation invariance in two-dimensional statistical-mechanical systems. More precisely, we show that, under rather general assumptions on the interactions, all equilibrium states of a two-dimensional system have all the symmetries, compact internal and spatial, of the dynamics, except possibly rotation invariance. (Rotation invariance remains unbroken if connected correlations decay more rapidly than the inverse square distance.) We also prove that two-dimensional systems with a non-compact internal symmetry group, like anharmonic crystals, typically do not have Gibbs states.

On the topological entropy of saturated sets

Let

Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts

(X,d,T)

On the symmetry of the Gibbs states in two-dimensional lattice systems

be a dynamical system, where

Exponential decay and geometric aspect of transition probabilities in the adiabatic limit

(X,d)

On the local structure of the phase separation line in the two-dimensional Ising system

is a compact metric space and

Renyi entropy, guesswork moments, and large deviations

T:X\rightarrow X

Thermodynamical Aspects of Classical Lattice Systems

a continuous map. We introduce two conditions for the set of orbits, called respectively the

Non-Translation Invariant Gibbs States with Coexisting Phases I. Existence of Sharp Interface for Widom-Rowlinson Type Lattice Models in Three Dimensions*

\texttt{g}

Interface, Surface Tension and Reentrant Pinning Transition in the 2D Ising Model

-almost product property and the uniform separation property. The