Weakly Periodic Ground States for the λ-Model

For the λ-model on a Cayley tree of order k ≥ 2, we describe the set of periodic and weakly periodic ground states corresponding to normal divisors of index 2 of the group representation of Cayley tree.

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Bibliographic Details
Published in:	Ukrainian mathematical journal Vol. 72; no. 5; pp. 771 - 784
Main Authors:	Mukhamedov, F. M., Rakhmatullaev, M. M., Rasulova, M. A.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-10-2020 Springer Nature B.V
Subjects:	Algebra Analysis Applications of Mathematics Geometry Ground state Mathematics Mathematics and Statistics Statistics
Online Access:	Get full text
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Description
Summary:	For the λ-model on a Cayley tree of order k ≥ 2, we describe the set of periodic and weakly periodic ground states corresponding to normal divisors of index 2 of the group representation of Cayley tree.
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-020-01826-6