Dear Colleagues, We would like to invite you to the following SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi: Random currents and homologies on compact manifolds Mauro Mariani (National Research University Moscow)

The seminar will take place on TUE, 9.5.2023 at 14:00 CET in Sala Seminari, Dipartimento di Matematica, Pisa and streamed online at the link below.

The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass --------------------------------------------

*Abstract: * We study the long time behavior of stochastic currents associated to diffusion processes on compact Riemannian manifolds. In the first part of the talk, sharp results about existence and tightness of stochastic currents will be discussed. In the second part, some problems related to random homologies (homology class associated to the paths of diffusion processes) will be addressed. In particular, we give a full geometric characterization of manifolds such that the associated random homology has a gaussian asymptotic. Some simpler related problems (Gallavotti-Cohen symmetry, relation with the Riemannian metric).