@article{lekgari2016,
author = {Lekgari, Mokaedi},
title = {A Note on Subgeometric Rate Convergence for Ergodic Markov Chains in the Wasserstein Metric},
year = {2016},
month = {11},
volume = {17},
pages = {40--45},
journal = {Bulletin of Mathematical Sciences and Applications},
doi = {10.18052/www.scipress.com/BMSA.17.40},
keywords = {Markov Chains, Ergodicity, Wasserstein Metric},
abstract = {We investigate subgeometric rate ergodicity for Markov chains in the Wasserstein metricand show that the finiteness of the expectation E(i,j)[$\Sigma$$\tau$△-1k=0 r(k)], where $\tau$△ is the hitting time on thecoupling set △ and r is a subgeometric rate function, is equivalent to a sequence of Foster-Lyapunovdrift conditions which imply subgeometric convergence in the Wassertein distance. We give an examplefor a ’family of nested drift conditions’.}
}