Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778938 | Indagationes Mathematicae | 2017 | 10 Pages |
Abstract
For any nâ¥3, let 1<β<2 be the largest positive real number satisfying the equation βn=βnâ2+βnâ3+â¯+β+1. In this paper we define the shrinking random β-transformation K and investigate natural invariant measures for K, and the induced transformation of K on a special subset of the domain. We prove that both transformations have a unique measure of maximal entropy. However, the measure induced from the intrinsically ergodic measure for K is not the intrinsically ergodic measure for the induced system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Kan Jiang, Karma Dajani,