TY - GEN
AB - The configuration spaces over an Euclidean space $R^{d}$ which consist of all locally finite subsets of $R^{d}$ are considered.
The present thesis can be characterized as a further development of the constructive part of the infinite dimensional analysis on the configuration spaces. In particular it is related with the investigation of some classes of measures on configuration spaces. Among measures, considered on the configuration spaces, one should distinguish the class of measures constructed via potentials of interaction. These measures are known in mathematical physics as Gibbs measures. The aim of the following dissertation is constructive study of probability measures on configuration spaces, using new analytical methods developed in the present thesis, and application of the obtained results to Gibbs class measures.
AU - Kutoviy, Oleksandr
ID - 2303709
KW - Konfigurationsraum , Maßtheorie , Gibbs-Verteilung , Konfigurationsraum , Gibbs'sche Maße , Existenz von Gibbs'schen Maßen , Configuration space , Gibbs measures , Existence of Gibbs measures
TI - Analytical methods in constructive measure theory on configuration spaces
ER -