| Full text | |
| Author(s): |
Boyland, Philip
;
de Carvalho, Andre
;
Hall, Toby
Total Authors: 3
|
| Document type: | Journal article |
| Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 368, n. 12, p. 42-pg., 2016-12-01. |
| Abstract | |
We study the sets DF(beta) of digit frequencies of beta-expansions of numbers in [0, 1]. We show that DF(beta) is a compact convex set with countably many extreme points which varies continuously with beta; that there is a full measure collection of non-trivial closed intervals on each of which DF(beta) mode locks to a constant polytope with rational vertices; and that the generic digit frequency set has infinitely many extreme points, accumulating on a single non-rational extreme point whose components are rationally independent. (AU) | |
| FAPESP's process: | 11/17581-0 - Topological methods in surface dynamics: from the Hénon family to torus rotation sets |
| Grantee: | André Salles de Carvalho |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 10/09667-0 - Topological methods in low-dimensional dynamics |
| Grantee: | André Salles de Carvalho |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |