On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree

DOI10.1134/S207004662104004XzbMath1477.82006OpenAlexW3213428219MaRDI QIDQ2066802

Akbarkhuja Tukhtabaev

Publication date: 14 January 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s207004662104004x

zbMATH Keywords

\(p\)-adic numbersPotts modelperiodic\(p\)-adic quasi Gibbs measuretranslation-invariantART Gibbs measure

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

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

Cites Work

• Unnamed Item
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• On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree
• On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree
• \(p\)-adic Gibbs measures for the hard core model with three states on the Cayley tree
• \(p\)-adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree
• Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree
• A new set of limiting Gibbs measures for the Ising model on a Cayley tree
• On the existence of generalized Gibbs measures for the one-dimensional \(p\)-adic countable state Potts model
• The measure-theoretical approach to \(p\)-adic probability theory
• Existence of a phase transition for the Potts \(p\)-adic model on the set \(\mathbb{Z}\)
• On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree
• \(p\)-adic solid-on-solid model on a Cayley tree
• Number theory as the ultimate physical theory
• On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree
• On equation \(x^q=a\) over \(\mathbb Q_p\)
• On Gibbs measures of \(p\)-adic Potts model on the Cayley tree.
• A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two
• A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree
• On a generalized \(p\)-adic Gibbs measure for Ising model on trees
• Non periodic \(p\)-adic generalized Gibbs measure for Ising model
• \(p\)-adic valued probability measures
• Non-Archimedean valued quasi-invariant descending at infinity measures
• Applied algebraic dynamics
• Chaotic behavior of the \(p\)-adic Potts-Bethe mapping
• On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
• On cubic equations over p-adic fields
• Phase transitions forp-adic Potts model on the Cayley tree of order three
• THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
• Application ofp-adic analysis to models of breaking of replica symmetry
• -adic monomial equations and their perturbations
• Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree
• ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE
• ULTRAMETRIC RANDOM FIELD
• Description of all translation-invariant $p$-adic Gibbs measures for the Potts model on a Cayley tree

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