Interacting diffusions as marked Gibbs point processes Alexander Zass Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin Abstract: The motivation for this talk comes from seeing a class of infinite-dimensional diffusions in interaction as marked point configurations: the starting points belong to R^d, the marks are the paths of Langevin diffusions, and the interaction between two diffusions is given by the integration of a pair potential along their paths. The goal of this talk is then to present existence and uniqueness results for marked Gibbs point processes that could be applied to the above setting. In the first part (based on joint work with S. Roelly), we use the entropy method to show the existence of an infinite-volume Gibbs point process for a general mark space and a general interaction with unbounded range. This result can be applied not only to the path-space pair-potential setting, but also to stochastic-geometry multi-body examples, like the area-interaction process. In the second part of the talk, we present a uniqueness result in the general pair-potential setting, obtained by using cluster expansion techniques.