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A Berry-Esseen Type Theorem on Nilpotent Covering Graphs

  Published:2004-10-01
 Printed: Oct 2004
  • Satoshi Ishiwata
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Abstract

We prove an estimate for the speed of convergence of the transition probability for a symmetric random walk on a nilpotent covering graph. To obtain this estimate, we give a complete proof of the Gaussian bound for the gradient of the Markov kernel.
MSC Classifications: 22E25, 60J15, 58G32 show english descriptions Nilpotent and solvable Lie groups
unknown classification 60J15
unknown classification 58G32
22E25 - Nilpotent and solvable Lie groups
60J15 - unknown classification 60J15
58G32 - unknown classification 58G32
 

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