A Case Leading to Rationality of the Drift

  • Gastão Bettencourt
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 57)


Let G be an infinite finitely generated group endowed with a measure of probability and a left-invariant metric. Let ∂ G be the horofunction compactification. Using a representation of the drift via horofunctions, we establish one situation in which we have rationality of the drift.


Probability Measure Random Walk Compact Group Uniform Convergence Rational Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Ballmann, W.: Lectures on Spaces of Nonpositive Curvature. DMV. Birkhäuser, Basel (1995)CrossRefzbMATHGoogle Scholar
  2. 2.
    Karlsson, A.: Ergodic theorems for noncommutting random products, Lectures notes from Santiago and Wroclaw, unpublished (2008)Google Scholar
  3. 3.
    Karlsson, A., Ledrappier, F.: Linear drift and Poisson boundary for random walks. Pure Appl. Math. Q., Pt 1 3(4), 1027–1036 (2007)Google Scholar
  4. 4.
    Karlsson, A., Ledrappier, F.: Noncommutative ergodic theorems. In: Farb, B., Fisher, D. (eds.) Geometry, Rigidity, and Group Actions. Chicago Lectures in Mathematics Series, vol. 75. The University of Chicago Press, Chicago (2011)Google Scholar
  5. 5.
    Karlsson, A., Ledrappier, F.: On laws of large numbers for random walks. Ann. Prob. 34(5), 1693–1706 (2006)CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.UBI – Universidade da Beira InteriorCovilhãPortugal

Personalised recommendations