Work

Semigroup real characters generated by quasicharacters

Year: 2025

Type: article

Abstract: Let S be an infinite, finitely generated semigroup, endowed with a probability measure. Based on the work [A. Erschler and A. Karlsson, Homomorphisms to ℝ \mathbb{R} constructed from random walks, Ann. Inst. Fourier (Grenoble) 60 2010, 6, 2095–2113], we construct a real character of S using a random walk approach. In our construction, the word length used in Erschler and Karlsson’s work is replaced by a quasicharacter.

Source: Georgian Mathematical Journal

DOI: 10.1515/gmj-2025-2068

Authors: Gastão Bettencourt, Sérgio Mendes

Institutions: University of Beira Interior, Centro de Matemática e Aplicações, Iscte – Instituto Universitário de Lisboa

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4413803200

FWCI:

Cites: 5

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Related to: 10