Probability Seminar: Richárd Balka

  • Date: 10/07/2015
  • Time: 15:00
Richárd Balka, UBC and PIMS

University of British Columbia


Restrictions of Brownian motion


It is classical that the zero set and the set of record times of a linear Brownian motion have Hausdorff dimension almost surely. Can we find a larger random subset on which a Brownian motion is monotone? Perhaps surprisingly, the answer is negative. We outline the short proof, which is an application of Kaufman's dimension doubling theorem for planar Brownian motion. This is a joint work with Yuval Peres.

Other Information: 

Location: ESB 2012