Special Session 185: Multiscale Analysis: Geometry and Evolution Problems (mSPACE)

Graph approximation for nonlocal interaction equations
Antonio Esposito
University of L'Aquila
Italy
Co-Author(s):    
Abstract:
In this talk I will discuss the connection between nonlocal dynamics on graphs and the corresponding local counterparts in the underlying Euclidean space. Equations on graphs have been recently introduced in applications to data science and social dynamics, among others. Starting from the nonlocal interaction equation on graphs, we can obtain a class of nonlocal interaction equations with the presence of tensor-mobility encoding the information on the localised graph. This talk is based on joint works with G. Heinze, F. Patacchini, A. Schlichting, and D. Slepcev.