Phase transition and chaos: $p$-adic Potts model on a Cayley tree (Q508252)

scientific article; zbMATH DE number 6683357

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English	Phase transition and chaos: $p$-adic Potts model on a Cayley tree	scientific article; zbMATH DE number 6683357

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instance of

scholarly article

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title

Phase transition and chaos: $p$-adic Potts model on a Cayley tree (English)

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Chaos, Solitons and Fractals

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publication date

10 February 2017

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zbMATH Keywords

$p$-adic numbers

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Potts model

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$p$-adic quasi Gibbs measure

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periodic

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shift

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.chaos.2016.04.003

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cites work

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$p$-adic repellers in $\mathbb Q_p$ are subshifts of finite type

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Generalized probabilities taking values in non-Archimedean fields and in topological groups

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Cognitive processes of the brain: an ultrametric model of information dynamics in unconsciousness

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Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree

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The measure-theoretical approach to $p$-adic probability theory

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Criteria of ergodicity for $p$-adic dynamical systems in terms of coordinate functions

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Non-Archimedean valued quasi-invariant descending at infinity measures

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On the existence of generalized Gibbs measures for the one-dimensional $p$-adic countable state Potts model

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On $p$-adic quasi Gibbs measures for $q+1$-state Potts model on the Cayley tree

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A dynamical system approach to phase transitions for $p$-adic Potts model on the Cayley tree of order two

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Renormalization method in $p$-adic $\lambda$-model on the Cayley tree

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The $p$-adic Potts model on the Cayley tree of order three

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ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

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The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree

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Gibbs measures on Cayley trees

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Description of all translation-invariant $p$-adic Gibbs measures for the Potts model on a Cayley tree

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

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Periodic Gibbs measures for the Potts model on the Cayley tree

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On a nonlinear $p$-adic dynamical system

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On descriptions of all translation invariant $p$-adic Gibbs measures for the Potts model on the Cayley tree of order three

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Q4003475

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Number theory as the ultimate physical theory

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Identifiers

zbMATH Open document ID

1355.37106

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Mathematics Subject Classification ID

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10.1016/J.CHAOS.2016.04.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:508252

Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree (Q508252)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)