Analysis on configuration spaces and Gibbs cluster ensembles

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Extended Gibbs ensembles with flow.

A recently proposed [Ph. Chomaz, F. Gulminelli, and O. Juillet, Ann. Phys. (Paris) 320, 135 (2005)] statistical treatment of finite unbound systems in the presence of collective motions is applied to a classical Lennard-Jones system, numerically simulated through molecular dynamics. In the ideal gas limit, the flow dynamics can be exactly recast into effective time-dependent Lagrange parameters...

Equivalence of Julesz and Gibbs Texture Ensembles

Stochastic analysis on configuration spaces: basic ideas and recent results

The purpose of this paper is to provide a both comprehensive and summarizing account on recent results about analysis and geometry on configuration spaces ΓX over Riemannian manifolds X. Particular emphasis is given to a complete description of the so–called “lifting– procedure”, Markov resp. strong resp. L1–uniqueness results, the non–conservative case, the interpretation of the constructed di...

On Loop Spaces of Configuration Spaces

This article gives an analysis of topological and homological properties for loop spaces of configuration spaces. The main topological results are given by certain choices of product decompositions of these spaces, as well as “twistings” between the factors. The main homological results are given in terms of extensions of the “infinitesimal braid relations” or “universal YangBaxter Lie relations”.