You are cordially invited to the seminars organized by the Department of Mathematics.
Speaker: Yuanyuan Pan (Syracuse University)
“The stochastic damped wave equation and Anderson models”
Abstract: Stochastic Partial Differential Equations (SPDEs) represent a powerful and versatile mathematical framework that unifies two fundamental branches of mathematics: stochastic processes and partial differential equations. My works focus on the damped wave equation and Anderson models. Past works are:
1-) Considering the damped wave equation with a Gaussian noise F where F is white in time and has a covariance function depending on spatial variables, we define a weakly self-avoiding polymer with intrinsic length J associated to this SPDE. The main result is that the polymer has an effective radius of approximately J^{5/3}.
2-) Considering the Anderson Hamiltonian (AH) and the parabolic Anderson model (PAM) with white noise and Dirichlet boundary condition on a bounded planar domain D. We compute the small time asymptotics of the AH's exponential trace up to order O(logt), and of the PAM's mass up to order O(tlogt).
Date: December 15, Monday
Time: 18:00 PM (Ankara)
Place: Zoom
To request the event link, please send a message to gokhan.yildirim@bilkent.edu.tr