- Adrián Hinojosa-Calleja, University of Barcelona
- Hitting probabilities and exact modulus of continuity for q-isotropic Gaussian random fields
- 12/14/2022
- 3:00 PM - 3:50 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
A Gaussian random field is q-isotropic if its associated canonical metric is equivalent to a gauge function q. We develop criteria for hitting probabilities and the existence of a global exact modulus of continuity for such processes. We explore the applications of the criteria to two toy examples: The q-Brownian sheet, and the solution to the linear stochastic Poisson equation driven by white noise. This is joint work with Marta Sanz-Solé.
