標題: Cutoffs for product chains
作者: Chen, Guan-Yu
Kumagai, Takashi
應用數學系
Department of Applied Mathematics
關鍵字: Product chains;Total variation and Hellinger distances;Cutoffs
公開日期: 1-十一月-2018
摘要: We consider products of ergodic Markov chains and discuss their cutoffs in total variation. Our framework is general in that rates to pick up coordinates are not necessary equal, and different coordinates may correspond to distinct chains. We give necessary and sufficient conditions for cutoffs of product chains in terms of those of coordinate chains under certain conditions. A comparison of mixing times between the product chain and its coordinate chains is made in detail as well. Examples are given to show that neither cutoffs for product chains nor for coordinate chains imply others in general. (C) 2018 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.spa.2018.01.002
http://hdl.handle.net/11536/148340
ISSN: 0304-4149
DOI: 10.1016/j.spa.2018.01.002
期刊: STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Volume: 128
起始頁: 3840
結束頁: 3879
顯示於類別:期刊論文