Stochastic adding machines based on Bratteli diagrams
| Autor: | Glauco Valle, Danilo Antonio Caprio, Ali Messaoudi |
|---|---|
| Přispěvatelé: | Universidade Estadual Paulista (UNESP), Universidade Federal do Rio de Janeiro (UFRJ), Universidade Estadual Paulista (Unesp) |
| Rok vydání: | 2021 |
| Předmět: |
Adding machine
Pure mathematics Mathematics::Dynamical Systems Dynamical Systems (math.DS) 01 natural sciences law.invention law 0103 physical sciences FOS: Mathematics Mathematics - Dynamical Systems 0101 mathematics Spectrum of transition operators Mathematics Algebra and Number Theory Markov chains Markov chain Mathematics::Operator Algebras Fibered Julia sets 010102 general mathematics Spectral properties Probabilistic logic Julia set 010307 mathematical physics Geometry and Topology Stochastic Vershik map Bratteli diagrams |
| Zdroj: | Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP Web of Science |
| ISSN: | 1777-5310 |
| DOI: | 10.5802/aif.3364 |
| Popis: | In this paper, we define some Markov Chains associated to Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we prove that the spectra of these operators are connected to Julia sets in higher dimensions. We also study topological properties of these spectra. 34 pages, 19 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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