We present a new method to prove existence and uniform a priori estimates for Gibbs
measures associated with classical particle systems in a continuum. The method is based …

Quantum statistical mechanics plays a major role in many fields such as thermodynamics,
plasma physics, solid-state physics, and the study of stellar structure. While the theory of …

The evolution of states in a spatial population model is studied. The model describes an
infinite system of point entities in R^ d R d which reproduce themselves at distant points …

Combinatorial harmonic analysis techniques are used to develop new analytical methods
for the study of interacting particle systems in continuum based on a Bogoliubov functional …

In the language of random counting measures, many structural properties of the Poisson
process can be studied in arbitrary measurable spaces. We provide a similarly general …

We study the question of existence and uniqueness of non-ideal gas in ℝ d with multi-body
interactions among its particles. For each k-tuple of the gas particles, 2≤ k≤ m 0<∞, their …

We reconsider Mürmann's theorem, ie, the 1-1 correspondence between Poisson exclusion
finite-cluster processes and subcritical stable Gibbs processes of finite range. Subcritical …

We study an infinite system of particles chaotically distributed over a Euclidean space R d⁠.
Particles are characterized by their positions x∈ R d and an internal parameter (spin) σ x∈ …

May 21, 2004 9:2 WSPC/102-IDAQPRT 00157 ON RELATIONS BETWEEN A PRIORI BOUNDS
FOR MEASURES ON CONFIGURATION SPACES 1. Introductio Page 1 May 21, 2004 9:2 …

We present a uniqueness result for Gibbs point processes with interactions that come from a
non-negative pair potential; in particular, we provide an explicit uniqueness region in terms …