BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Makiko Sasada (University of Tokyo) DTSTART:20220105T160000Z DTEND:20220105T170000Z DTSTAMP:20260423T052759Z UID:SMES/9 DESCRIPTION:Title: On Varadhan’s decomposition theorem in a general setting\nby Makiko Sas ada (University of Tokyo) as part of Probability and Statistical Mechanics Seminar\n\n\nAbstract\nWe rigorously formulate and prove for a relatively general class of interactions the characterization of shift-invariant clo sed L2-forms for a large scale interacting system. Such characterization o f closed forms has played an essential role in proving the hydrodynamic li mit of nongradient systems. The universal expression in terms of conserved quantities was sought from observations for specific models\, but a preci se formulation or rigorous proof up until now had been elusive. To obtain this\, we first prove the universal characterization of shift-invariant cl osed “local” forms in a completely geometric way\, that is\, in a way that has nothing to do with probability measures. Then\, we apply the resu lt to characterize the L2-forms. Our result is applicable for many importa nt models including generalized exclusion processes\, multi-species exclus ion processes\, exclusion processes on crystal lattices and so on. This ta lk is based on a joint work with Kenichi Bannai and Yukio Kametani (https: //arxiv.org/abs/2009.04699)\, and a joint work with Kenichi Bannai (https: //arxiv.org/abs/2111.08934).\n LOCATION:https://researchseminars.org/talk/SMES/9/ END:VEVENT END:VCALENDAR