86 citations · 574 across the 105 of their papers we have counts for
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Gibbs measures of Potts model on Cayley trees: a survey and applications
U. A. Rozikov
In this paper we give a systematic review of the theory of Gibbs measures of Potts model on Cayley trees (developed since 2013) and discuss many applications of the Potts model to…
Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
F. Henning, C. Kuelske, A. Le Ny +1
We consider an SOS (solid-on-solid) model, with spin values from the set of all integers, on a Cayley tree of order k and are interested in translation-invariant gradient Gibbs mea…
Hard-Core and Soft-Core Widom-Rowlinson models on Cayley trees
Sascha Kissel, Christof Kuelske, Utkir A. Rozikov
We consider both Hard-Core and Soft-Core Widom-Rowlinson models with spin values on a Cayley tree of order and we are interested in the Gibbs measures of the mod…
Markov processes of cubic stochastic matrices: {\it Quadratic stochastic processes}
J. M. Casas, M. Ladra, U. A. Rozikov
We consider Markov processes of cubic stochastic (in a fixed sense) matrices which are also called quadratic stochastic process (QSPs). A QSP is a particular case of a continuous-t…
On cubic stochastic operators and processes
B. J. Mamurov, U. A. Rozikov
In this paper analogically as quadratic stochastic operators and processes we define cubic stochastic operator (CSO) and cubic stochastic processes (CSP). These are defined on the…
Zebra-percolation on Cayley trees
D. Gandolfo, U. A. Rozikov, J. Ruiz
We consider Bernoulli (bond) percolation with parameter on the Cayley tree of order . We introduce the notion of zebra-percolation that is percolation by paths of alternatin…