86 citations · 574 across the 105 of their papers we have counts for
Showing 2022 · math.DSShow all
3 papers · 2 filters
math.DS2022
Evolutionary behavior in a two-locus system
A. M. Diyorov, U. A. Rozikov
In this short note we study a dynamical system generated by a two-parametric quadratic operator mapping 3-dimensional simplex to itself. This is an evolution operator of the freque…
math.DS2022
A non-linear second-order difference equation related to Gibbs measures of a SOS model
U. A. Rozikov
For the SOS (solid-on-solid) model with an external field and with spin values from the set of all integers on a Cayley tree each (gradient) Gibbs measure corresponds to a boundary…
math.DS2022★ 8 cited
A HC model with countable set of spin values: uncountable set of Gibbs measures
U. A. Rozikov, F. H. Haydarov
We consider a hard core (HC) model with a countable set of spin values on the Cayley tree. This model is defined by a countable set of parameters $λ_{i}>0, i \in \math…