|XXIX Workshop on Geometric Methods in Physics
(tentative) Diffeomorphism group representations and the characterization of Gibbs measures on marked configuration spaces
This talk is based on research in preparation with Yuri Kondratiev, Tobias Kuna, and Luis da Silva. I shall first describe briefly, in a self-contained way, the importance of measures on configuration spaces and marked configuration spaces that are quasiinvariant under diffeomorphisms. Then I shall summarize some results regarding the characterization of Gibbs measures on such spaces by Radon-Nikodym derivatives with respect to their transformations under diffeomorphisms.