Carne–Varopoulos bounds for centered random walks

• Pierre Mathieu ^[1]
  1. [1] CMI
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 34, Nº. 3, 2006, págs. 987-1011
• Idioma: inglés
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• Resumen

  • We extend the Carne–Varopoulos upper bound on the probability transitions of a Markov chain to a certain class of nonreversible processes by introducing the definition of a “centering measure.” In the case of random walks on a group, we study the connections between different notions of centering.