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- W4232931197 abstract "In order to study the transience of Hendricks libraries, we introduce and study a special class of Markov chains, the Tsetlin d -piles, generalizing Tsetlin libraries and briefly defined as follows: a 1-pile is a Tsetlin library and a d -pile is a Tsetlin library where each book is replaced by a ( d − 1)-pile. We give a stationary measure of these chains and establish the necessary and sufficient conditions for positive recurrence and transience. Finally, the study of d -piles allows us to determine a sufficient condition for transience of quite a large class of Hendricks libraries." @default.
- W4232931197 created "2022-05-12" @default.
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- W4232931197 date "1982-03-01" @default.
- W4232931197 modified "2023-09-27" @default.
- W4232931197 title "Hendricks libraries and Tsetlin piles" @default.
- W4232931197 cites W1998602421 @default.
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- W4232931197 doi "https://doi.org/10.1017/s0001867800036697" @default.
- W4232931197 hasPublicationYear "1982" @default.
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