The growth rate and dimension theory of beta-expansions
Fundamenta Mathematicae (2012)
- Volume: 219, Issue: 3, page 271-285
- ISSN: 0016-2736
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topSimon Baker. "The growth rate and dimension theory of beta-expansions." Fundamenta Mathematicae 219.3 (2012): 271-285. <http://eudml.org/doc/282809>.
@article{SimonBaker2012,
abstract = {In a recent paper of Feng and Sidorov they show that for β ∈ (1,(1+√5)/2) the set of β-expansions grows exponentially for every x ∈ (0,1/(β-1)). In this paper we study this growth rate further. We also consider the set of β-expansions from a dimension theory perspective.},
author = {Simon Baker},
journal = {Fundamenta Mathematicae},
keywords = {beta-expansions; dimension theory; Hausdorff dimension; Bernoulli convolutions},
language = {eng},
number = {3},
pages = {271-285},
title = {The growth rate and dimension theory of beta-expansions},
url = {http://eudml.org/doc/282809},
volume = {219},
year = {2012},
}
TY - JOUR
AU - Simon Baker
TI - The growth rate and dimension theory of beta-expansions
JO - Fundamenta Mathematicae
PY - 2012
VL - 219
IS - 3
SP - 271
EP - 285
AB - In a recent paper of Feng and Sidorov they show that for β ∈ (1,(1+√5)/2) the set of β-expansions grows exponentially for every x ∈ (0,1/(β-1)). In this paper we study this growth rate further. We also consider the set of β-expansions from a dimension theory perspective.
LA - eng
KW - beta-expansions; dimension theory; Hausdorff dimension; Bernoulli convolutions
UR - http://eudml.org/doc/282809
ER -
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