UBC Probability Seminar: Yinon Spinka

  • Date: 02/26/2020
  • Time: 03:10
Yinon Spinka, UBC

University of British Columbia


Finitary isomorphisms of continuous-time processes


Consider two translation-invariant continuous-time processes X=(X_t) and Y=(Y_t). The two processes are isomorphic if there exists an invertible (bimeasurable) map from X to Y which commutes with translations. The map is finitary if in order to determine a portion of Y one only needs to see a large portion of X. When does such a finitary map exist? We investigate this question, showing, for example, that Brownian motion reflected on an interval is finitarily isomorphic to a Poisson point process (thereby answering a question of Kosloff and Soo).

Other Information: 

Location: ESB 4133, Library/Seminar Room