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L1L1-Poincaré inequality for discrete time Markov chains

Article ID Journal Published Year Pages File Type
1151408 Statistics & Probability Letters 2015 5 Pages PDF
Abstract

We introduce a new constant by L1L1-Poincaré inequality which lies between the classical L2L2-Poincaré constant and Dobrushin coefficient. Meanwhile, the bounds for the L1L1-Poincaré constant are obtained by using Cheeger’s technique.

Keywords
47J1058C40
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
L1L1-Poincaré inequality for discrete time Markov chains
Authors
Lihua Zhang, Yingzhe Wang,
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Statistics & Probability Letters
Journal: Statistics & Probability Letters
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