IHP trimester on random walks and asymptotic geometry of groups 

January 6  - April 4, 2014

Organizers: Indira Chatterji,  Anna Erschler,  Vadim Kaimanovich,  Laurent Saloff-Coste

The trimester is devoted to asymptotic properties of infinite and big finite groups, in particular, those associated with random walks on these groups. We hope to have a fruitful collaboration covering probabilistic, analytic, algebraic, and geometrical aspects of this subject area as well as their interplay. The non-exhaustive list of topics we are planning to discuss includes: 
  • isoperimetric, growth and spectral profiles 
  • amenability and property (T) 
  • asymptotics and limit theorems for transition probabilities 
  • rate of escape and entropy 
  • boundary actions 
  • the Poisson boundary 
  • spaces of harmonic functions 
  • equidistribution and characterization of invariant sets and measures 
  • rigidity 
  • groups acting on trees
Long term invited visitors:  Miklos Abert, Laurent Bartholdi, Alex Eskin, Rostislav Grigorchuk, Gady Kozma, Steve Lalley, Andrés Navas, Volodymyr Nekrashevych, Narutaka Ozawa, Mark Sapir, Wolfgang Woess.


 • January 6 - 17   Introductory school (CIRM Luminy) (I.Chatterji, Ch.Pittet and L.Saloff-Coste)
 • January 27 - 31   Random walks on groups (IHP) (S.Brofferio, V.Kaimanovich and L.Saloff-Coste)
 • February 24 - 28   Groups acting on rooted trees and around (IHP) (R.Grigorchuk, V.Kaimanovich, V.Nekrashevych and D.Savchuk)
 • March 24 - 28  Asymptotic properties of group (IHP) (E. Breuillard, I. Chatterji and A. Erschler)


 • Tuesdays 11:30-12:30 Student seminar (organized by Emmanuel Breuillard)   
 • Wednesdays 14:00-16:00Random walks (organized by Vadim Kaimanovich) 
 • Fridays 10:30-12:00 Geometric group theory  (organized by Frédéric Haglund) 
 • Specially announcedInformal seminar

Open day (journée portes ouvertes):  March 19 (organized by Indira Chatterji,  Anna Erschler, Vadim Kaimanovich, Laurent Saloff-Coste  and Pierre Pansu)

More information:

For any questions about the program please contact us at geowalks@gmail.com.

If you want to take part in the program, please register on
the IHP registration page. In the case of problems with registration send an email to webmaster@ihp.fr with a copy to geowalks@gmail.com.

Participation of PhD students and postdocs is strongly encouraged. PhD students: please ask your advisor to send the recommendation letter to geowalks@gmail.com.

Partially suported by the European Research Council 
under the European Union's Seventh Framework Programme (FP7/2007-2013) 
ERC grant agreement no. 257110 - RAWG
    National Science Foundation grant DMS-1344959