Asymptotic properties of harmonic measures on homogeneous trees

• Autorzy: Konrad Kolesko
• Języki publikacji: EN

Abstrakty

EN

Let Aff(𝕋) be the group of isometries of a homogeneous tree 𝕋 fixing an end of its boundary. Given a probability measure on Aff(𝕋) we consider an associated random process on the tree. It is known that under suitable hypothesis this random process converges to the boundary of the tree defining a harmonic measure there. In this paper we study the asymptotic behaviour of this measure.

Kategorie tematyczne

• 60B15: Probability measures on groups or semigroups, Fourier transforms, factorization
• 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 118
• Numer: 2
• Strony: 525-537

Daty

wydano

2010

Twórcy

autor

Konrad Kolesko

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm118-2-9