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ON QUANTUM MARKOV CHAINS ON CAYLEY TREE I: UNIQUENESS OF THE ASSOCIATED CHAIN WITH XY-MODEL ON THE CAYLEY TREE OF ORDER TWO

โœ Scribed by ACCARDI, LUIGI; MUKHAMEDOV, FARRUKH; SABUROV, MANSOOR


Book ID
120229265
Publisher
World Scientific Publishing Company
Year
2011
Tongue
English
Weight
329 KB
Volume
14
Category
Article
ISSN
0219-0257

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On uniqueness of Gibbs measure for -adic
โœ Andrei Khrennikov; Farrukh Mukhamedov ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 403 KB

In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is fi