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Concentration of Measure for Products of Markov Kernels and Graph Products via Functional Inequalities

Published online by Cambridge University Press:  12 April 2001

C. HOUDRÉ  and
P. TETALI
C. HOUDRÉ
Affiliation:
Southeast Applied Analysis Center, School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA (e-mail: houdre@math.gatech.edu)
P. TETALI
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA (e-mail: tetali@math.gatech.edu)
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Abstract

We present versions of concentration inequalities for products of Markov kernels and graph products. We also present discussions of a variety of consequences such as sharp upper bounds, in terms of the diameter of the state space, on the spectral gap.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 10 , Issue 1 , January 2001 , pp. 1 - 28
Copyright
2001 Cambridge University Press

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