On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree

Abstract In this paper, we study the chaotic behavior of the p-adic Ising-Potts mapping associated with the p-adic Ising model on the Cayley tree. As an application of this result, we are able to show the existence of periodic (with any period) p-adic quasi Gibbs measures for the model.

Gespeichert in:
Autor*in:

Mukhamedov, Farrukh [verfasserIn]

Khakimov, Otabek [verfasserIn]

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2017

Schlagwörter:

-adic numbers

Ising model

-adic quasi Gibbs measure

Chaos

Periodic

Shift

Übergeordnetes Werk:

Enthalten in: Mathematical physics, analysis and geometry - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998, 20(2017), 4 vom: 09. Okt.

Übergeordnetes Werk:

volume:20 ; year:2017 ; number:4 ; day:09 ; month:10

Links:

Volltext

DOI / URN:

10.1007/s11040-017-9254-0

Katalog-ID:

SPR015947548

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