Attractive g-functions (2007)


In this short note, following a paper by Hulse (Uniqueness and ergodic properties of attractive g-measures, Ergodic Theory and Dynamical Systems 11, 65-77, 1991), we consider the construction of invariant measures specified by attractive g-functions on a finite alphabet, and describe a few of their properties. We include an elementary proof of the Riesz-Markov Theorem in this simple case.

Keywords: g-function, invariant g-measure, Riesz-Markov Theorem.

File: pdf


Voltar - Back