Ricevo e con piacere inoltro. Il seminario e' tra meno di 2h
Buona giornata Alessandra
---------- Forwarded message --------- From: Basile, Giada basile@mat.uniroma1.it Date: Fri, 11 Apr 2025 at 09:18 Subject: promemoria seminario Makiko Sasada
Care e cari, vi ricordo che oggi alle 16:15 ci sarà il seminario di Makiko Sasada.
Titolo: Discrete geometric structure of large-scale interacting systems
Abstract. In this talk, we explore large-scale interacting systems that explain macroscopic phenomena through the movement of microscopic particles. These systems are modeled by discrete lattices where microscopic dynamics occur and the transitions between adjacent sites, referred to as “interactions” in our definition. We classify interactions based on conserved quantities, which reflect macroscopic properties, and introduce wedge sums and box products as methods to construct new interactions from existing ones. We also present a discrete harmonic theory for large-scale interacting systems on discrete lattices with finite local state sets. By assuming exchangeable interactions, we define the inverse harmonic period matrix, which we expect to correspond to the diffusion matrix in the hydrodynamic limit. Our result offers an interpretation of the diffusion matrix based on the geometry of the microscopic model. Founded by the European Union - Next Generation EU.