Date/Time Date(s) - 13/03/20263:30 pm - 4:30 pm
Speaker: Ihsan Topaloglu (Virginia Commonwealth University)
Location: Hamilton Hall, Room 305
Title: Particle Approximation of Nonlocal Energies
Abstract: In this talk I will consider particle interaction energies defined via general pairwise interaction kernels. Such pairwise interaction energies appear in many biological or physical applications, ranging from swarming models to models of molecular structure. Under rather general assumption on the interaction kernel I will present three results: (i) The discrete energies admit minimizers for sufficiently large number of particles, (ii) they converge to their continuum counterpart in the weak-* topology of probability measures, and (iii) minimizer of discrete energies converge to the minimizer of the continuum energy. This talk will be based on joint work with Davide Carazzato and Aldo Pratelli.
Coffee will be served in Hamilton Hall, Room 216 at 3:00pm. All are welcome.