Seminar by Robert Dalang - Polarity of points for systems of linear spde's in critical dimensions   18 June 2015

14:15 - 15:15


Robert Dalang, EPFL

We are interested in systems of d linear stochastic partial differential equations in spatial dimension k >= 1. The d-dimensional driving noise is space-time white noise when k=1, and is white in time  with a spatially homogeneous covariance defined as a Riesz kernel when k >= 1. In non-critical dimensions, the issue of polarity of points for the random field solution to these systems is well-understood. In this joint work with C. Mueller and Y. Xiao, we extend to a wide class of anisotropic Gaussian random fields an argument developed by Talagrand (1998) for fractional Brownian motion. This allows us to establish polarity of points in critical dimensions for many systems of linear spde's, such as systems of stochastic heat and wave equations in spatial dimensions k >=  1.

Name University Dates of visit
Robert Dalang EPFL 18/06/2015 - 18/06/2015
Total Guests : 1
Name University Dates of visit
Total Guests : 0
Conference in Honor of the 70th Birthday of Tudor Ratiu, 20 to 24 July 2020.
Registration fees of CHF 50.- are mandatory for visits from 1 day to full attendance of the conference.
Cancellations and no-shows are not eligible for a refund.
I hereby agree to the conditions of the registration fees and to settling the amount by 28 February 2020.

Last Name
First Name
Zip Code