University of Cambridge > Talks.cam > Combinatorics Seminar > Discrete Riemann mapping and the Poisson boundary

Discrete Riemann mapping and the Poisson boundary

Add to your list(s) Download to your calendar using vCal

  • UserAgelos Georgakopoulos (University of Warwick)
  • ClockThursday 17 October 2013, 14:30-15:30
  • HouseMR12.

If you have a question about this talk, please contact Andrew Thomason.

Answering a question of Benjamini & Schramm, we show that the Poisson boundary of any planar, uniquely absorbing (e.g. one-ended and transient) graph with bounded degrees can be realised geometrically as a circle, namely as the boundary of a tiling of a cylinder by squares. For this, we introduce a general criterion for identifying the Poisson boundary of a stochastic process that might have further applications.

The talk will be self-contained, assuming no prior knowledge of the mentioned terminology, and will contain many pictures.

This talk is part of the Combinatorics Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity