86 citations · 574 across the 105 of their papers we have counts for
8 papers · 1 filter
On a non-linear -adic dynamical system
U. A. Rozikov, I. A. Sattarov
We investigate the behavior of trajectories of a -rational -adic dynamical system in the complex -adic filed , when there exists a unique fixed point $x…
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
C. Külske, U. A. Rozikov, R. M. Khakimov
For the -state Potts model on a Cayley tree of order it is well-known that at sufficiently low temperatures there are at least translation-invariant Gibbs measur…
On real chains of evolution algebras
B. A. Omirov, U. A. Rozikov, K. M. Tulenbayev
In this paper we define a chain of -dimensional evolution algebras corresponding to a permutation of numbers. We show that a chain of evolution algebras (CEA) corresponding…
Evolution algebra of a "chicken" population
M. Ladra, U. A. Rozikov
We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type.…
New Phase transitions of the Ising model on Cayley trees
D. Gandolfo, F. H. Haydarov, U. A. Rozikov +1
We show that the nearest neighbors Ising model on the Cayley tree exhibits new temperature driven phase transitions. These transitions holds at various inverse temperatures differe…
Periodic Solutions of Generalized Schrödinger Equations on Cayley Trees
Fumio Hiroshima, József Lörinczi, Utkir Rozikov
In this paper we define a discrete generalized Laplacian with arbitrary real power on a Cayley tree. This Laplacian is used to define a discrete generalized Schrödinger operator on…