Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-18T17:24:19.053Z Has data issue: false hasContentIssue false

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
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)

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
Copyright
2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)