Thermodynamic formalism for symbolic dynamical systems
We derive results in the ergodic theory of symbolic dynamical systems. Our first result concerns β-expansions of real numbers. We show that for a fixed non-integer β > 1 and a fixed real number x ∈ [0, |β|/β-1], the number of words (x1, ..., xn) that can be extended to β-expansions of x grows at...
| Main Author: | |
|---|---|
| Published: |
University of Warwick
2011
|
| Subjects: | |
| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.537750 |