On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree

DOI10.1007/s11040-017-9254-0zbMath1413.46067OpenAlexW2762448502WikidataQ121816017 ScholiaQ121816017MaRDI QIDQ1664375

Farrukh Mukhamedov, Otabek Khakimov

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-017-9254-0

zbMATH Keywords

chaosshiftIsing model\(p\)-adic numbersperiodic\(p\)-adic quasi Gibbs measure

Mathematics Subject Classification ID

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)

Related Items (10)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ Chaotic behavior of the \(p\)-adic Potts-Bethe mapping ⋮ Some non-periodic \(p\)-adic generalized Gibbs measures for the Ising model on a Cayley tree of order \(k\) ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ p$$ p $$‐Adic phase transitions for countable state Potts model ⋮ Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures ⋮ Non periodic \(p\)-adic generalized Gibbs measure for Ising model ⋮ On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree ⋮ On periodic \(p\)-adic generalized Gibbs measures for Ising model on a Cayley tree

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