We provide a sufficient condition for the uniqueness in distribution of Gibbs point processes
with non-negative pairwise interaction, together with convergent expansions of the log …

We prove a novel inversion theorem for functionals given as power series in infinite-
dimensional spaces. This provides a rigorous framework to prove convergence of density …

We present a systematic coarse-graining (CG) strategy for many particle molecular systems
based on cluster expansion techniques. We construct a hierarchy of coarse-grained …

We consider a binary system of small and large spheres of finite size in a continuous
medium interacting via a non-negative potential. We work in the canonical ensemble and …

Virial expansions for correlation functions in canonical ensemble | Letters in Mathematical
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A generalized version of Groeneveld's convergence criterion for the virial expansion and
generating functionals for weighted two-connected graphs is proven. This criterion works for …

We present a brief survey of works of the Kyiv School of Mathematicians published in Soviet
journals in the 1940–70s. The main results are formulated in the language of contemporary …

We review some recent progress on applications of Cluster Expansions. We focus on a
system of classical particles living in a continuous medium and interacting via a stable and …

We show the validity of the cluster expansion in the canonical ensemble for the Ising model.
We compare the lower bound of its radius of convergence with the one computed by the …

The main topic of this thesis is the cluster expansion technique and its applica-tions to a
variety of problems ranging from probability to physics and chemistry. The thesis is divided …