@inbook{deda228bcf744617901a21ce9b07c555,
title = "P-Adic Dynamical Systems for p-Adic λ-Models on the Cayley Trees",
abstract = "We review and propose the use of associated dynamical system to explore the phase transition phenomena in p-adic statistical mechanics setting, by means of the renormalization techniques. Main focus of the paper is the p-adic λ-model on the Cayley tree. We study generalized p-adic quasi-Gibbs measures for the λ-model. These measures associate recurrence equations that determine dynamical systems for the model. A main point is to verify and confirm that the indicated predictions from a dynamical system point of view are indeed true.",
keywords = "Cayley tree, P-adic dynamical system, P-adic Gibbs measure, Phase transition, Renormalization",
author = "Farrukh Mukhamedov and Otabek Khakimov",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.",
year = "2025",
doi = "10.1007/978-3-032-09176-5\_12",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "287--308",
booktitle = "Trends in Mathematics",
}