Topological and Geometric Data Analysis

69 works

On Gibbs measures of P-adic Potts model on the cayley tree
Farrukh Mukhamedov, U. A. Rozikov
Articleadvanced mathematical theoriesIndagationes Mathematicae200429 citations
ABI
Existence of a Phase Transition for the Potts p-adic Model on the Set ℤ
Насир Набиевич Ганиходжаев, Farrukh Mukhamedov, U. A. Rozikov
Articleadvanced mathematical theoriesTheoretical and Mathematical Physics200220 citations
ABI
Phase transition and chaos: P -adic Potts model on a Cayley tree
Farrukh Mukhamedov, Otabek Khakimov
Articleadvanced mathematical theoriesChaos Solitons & Fractals201619 citations
ABI
Chaotic behavior of the P-adic Potts-Bethe mapping
Farrukh Mukhamedov, Otabek Khakimov
Articleadvanced mathematical theoriesDiscrete and Continuous Dynamical Systems201716 citations
ABI
Translation‐invariant generalized P‐adic Gibbs measures for the Ising model on Cayley trees
Farrukh Mukhamedov, Otabek Khakimov
Articleadvanced mathematical theoriesMathematical Methods in the Applied Sciences202015 citations
ABI
ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE
Farrukh Mukhamedov, U. A. Rozikov
Articleadvanced mathematical theoriesInfinite Dimensional Analysis Quantum Probability and Related Topics200514 citations
ABI
Non Periodic p-Adic Generalized Gibbs Measure for Ising Model
M. M. Rahmatullaev, Akbarkhuja Tukhtabaev
Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications201911 citations
ABI
On a class of rational p-adic dynamical systems
Murod Khamraev, Farrukh Mukhamedov
Articleadvanced mathematical theoriesJournal of Mathematical Analysis and Applications200510 citations
ABI
On a nonlinear p-adic dynamical system
U. A. Rozikov, I. A. Sattarov
Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications201410 citations
ABI
p-adic Gibbs measures and Markov random fields on countable graphs
U. A. Rozikov, Otabek Khakimov
Articleadvanced mathematical theoriesTheoretical and Mathematical Physics201310 citations
ABI
On $$G_2$$-Periodic Quasi Gibbs Measures of $$p$$-Adic Potts Model on a Cayley Tree
Akbarkhuja Tukhtabaev
Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20219 citations
ABI
Chaotic behavior of the p-adic Potts–Bethe mapping II
Otabek Khakimov, Farrukh Mukhamedov
Articleadvanced mathematical theoriesErgodic Theory and Dynamical Systems20219 citations
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p-adic boundary laws and Markov chains on trees
Arnaud Le Ny, Lingmin Liao, U. A. Rozikov
Articleadvanced mathematical theoriesLetters in Mathematical Physics20208 citations
ABI
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k
M. M. Rahmatullaev, Akbarkhuja Tukhtabaev
Articleadvanced mathematical theoriesMathematical Physics Analysis and Geometry20237 citations
ABI
On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree
M. M. Rahmatullaev, Akbarkhuja Tukhtabaev
Articleadvanced mathematical theoriesLetters in Mathematical Physics20227 citations
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Geometrical and topological properties of a subspace Pf (X) of probability measures
Tashkent Instute of Architecture and Civil Engineering, Adilbek Atakhanovich Zaitov
ArticleAdvanced Topology and Set TheoryIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20197 citations
ABI
Geometrical and Topological Properties of a Subspace Pf(X) of Probability Measures
A. A. Zaitov
ArticleTopological and Geometric Data AnalysisRussian Mathematics20196 citations
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p-adic Gibbs measures for the hard core model with three states on the Cayley tree
Otabek Khakimov
Articleadvanced mathematical theoriesTheoretical and Mathematical Physics20135 citations
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Mirror Symmetry of Height-Periodic Gradient Gibbs Measures of an SOS Model on Cayley Trees
U. A. Rozikov
ArticleTheoretical and Computational PhysicsJournal of Statistical Physics20224 citations
ABI
The $$p$$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures
Farrukh Mukhamedov, M. M. Rahmatullaev, Akbarkhuja Tukhtabaev +1
Articleadvanced mathematical theoriesTheoretical and Mathematical Physics20234 citations
ABI
Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree
U. A. Rozikov
ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics20014 citations
ABI
Periodic Points of a $$p$$-Adic Operator and their $$p$$-Adic Gibbs Measures
U. A. Rozikov, I. A. Sattarov, Akbarkhuja Tukhtabaev
Articleadvanced mathematical theoriesP-Adic Numbers Ultrametric Analysis and Applications20223 citations
ABI
On set of p-adic Gibbs measures for the countable state 1D SOS model
Otabek Khakimov, Farrukh Mukhamedov
Articleadvanced mathematical theoriesJournal of Physics A Mathematical and Theoretical20243 citations
ABI
Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree
M. M. Rahmatullaev, Akbarkhuja Tukhtabaev, Nurkhon Samijonova
Articleadvanced mathematical theoriesLetters in Mathematical Physics20243 citations
ABI
On H-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree
M. M. Rahmatullaev, Zulxumor Abdukaxorova
Articleadvanced mathematical theoriesReports on Mathematical Physics20253 citations
ABI

Topological and Geometric Data Analysis

On Gibbs measures of P-adic Potts model on the cayley tree

Existence of a Phase Transition for the Potts p-adic Model on the Set ℤ

Phase transition and chaos: P -adic Potts model on a Cayley tree

Chaotic behavior of the <i>P</i>-adic Potts-Bethe mapping

Translation‐invariant generalized <i>P</i>‐adic Gibbs measures for the Ising model on Cayley trees

ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

Non Periodic p-Adic Generalized Gibbs Measure for Ising Model

On a class of rational p-adic dynamical systems

On a nonlinear p-adic dynamical system

p-adic Gibbs measures and Markov random fields on countable graphs

On $$G_2$$-Periodic Quasi Gibbs Measures of $$p$$-Adic Potts Model on a Cayley Tree

Chaotic behavior of the <i>p</i>-adic Potts–Bethe mapping II

p-adic boundary laws and Markov chains on trees

Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k

On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree

Geometrical and topological properties of a subspace Pf (X) of probability measures

Geometrical and Topological Properties of a Subspace Pf(X) of Probability Measures

p-adic Gibbs measures for the hard core model with three states on the Cayley tree

Mirror Symmetry of Height-Periodic Gradient Gibbs Measures of an SOS Model on Cayley Trees

The $$p$$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures

Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

Periodic Points of a $$p$$-Adic Operator and their $$p$$-Adic Gibbs Measures

On set of p-adic Gibbs measures for the countable state 1D SOS model

Weakly periodic p-adic quasi-Gibbs measures for the Potts model on a Cayley tree

On H-Weakly Periodic P-Adic Generalized Gibbs Measures of P-Adic Ising Model with an External Field on a Cayley Tree