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Reviews of modern physics, ISSN 1539-0756, 2008, Volume 80, Issue 4, pp. 1275 - 1335
Journal Article
The European physical journal. ST, Special topics, ISSN 1951-6401, 2014, Volume 223, Issue 11, pp. 2307 - 2321
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 09/2017, Volume 23, Issue 9, pp. 1542 - 1561
In the present paper, by conducting research on the dynamics of the p-adic generalized Ising mapping corresponding to renormalization group associated with the p-adic Ising-Vannemenus model... 
p-adic numbers | chaos | periodic | p-adic dynamical system | JULIA SETS | SYSTEM | MATHEMATICS, APPLIED | MAPS | RATIONAL FUNCTIONS | PHASE-TRANSITIONS | DYNAMICS | POTTS-MODEL | Ising model | Fixed points (mathematics) | Mapping | Applied mathematics | Mathematics - Dynamical Systems
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 12/2017, Volume 105, pp. 260 - 270
Journal Article
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, ISSN 1078-0947, 01/2018, Volume 38, Issue 1, pp. 231 - 245
In the previous investigations of the authors the renormalization group method to p-adic models on Cayley trees has been developed... 
MATHEMATICS, APPLIED | chaos | CAYLEY TREE | Ising-Potts function | PHASE-TRANSITIONS | shift | GIBBS MEASURES | MODEL | p-adic numbers | JULIA SETS | MATHEMATICS | REDUCTION | MAPS | DYNAMICAL-SYSTEMS | Q(P)
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 03/2012, Volume 85, Issue 10
We study an M-p-spin spin glass model with p = 3 and M = 3 in three dimensions using the Migdal-Kadanoff renormalization group approximation (MKA... 
TRANSITION | POTTS | PHYSICS, CONDENSED MATTER | CONNECTIONS | TIME-REVERSAL SYMMETRY
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 05/2015, Volume 2015, Issue 5
In this paper, we continue an investigation of the p-adic Ising-Vannimenus model on the Cayley tree of an arbitrary order k (k >= 2... 
phase diagrams (theory) | solvable lattice models | SYSTEM | FIELDS | MECHANICS | PHASE-TRANSITIONS | LAMBDA-MODEL | GENERAL ULTRAMETRIC SPACE | GIBBS MEASURES | STATE | POTTS-MODEL | PHYSICS, MATHEMATICAL
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2014, Volume 47, Issue 7, pp. 1 - 12
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 08/2014, Volume 10, Issue 5, pp. 1171 - 1190
We provide a solvability criterion for a cubic equation in domains $\mathbb{Z}_{p}^{*}, \mathbb{Z}_p, \mathbb{Q}_p$ . We show that, in principal, the Cardano method is not always applicable for such equations... 
p-adic Cardano formula | p-adic number | Cubic equation | solvability criterion | MATHEMATICS | DYNAMICAL-SYSTEMS | CAYLEY TREE | POTTS-MODEL | RESIDUES
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 11/2017, Volume 193, Issue 2, pp. 1694 - 1702
Journal Article
Mathematical physics, analysis, and geometry, ISSN 1385-0172, 2012, Volume 16, Issue 1, pp. 49 - 87
Journal Article