Bernoulli convolutions and 1D dynamics

DOI10.1088/0951-7715/28/11/3921zbMath1357.37066arXiv1501.06740OpenAlexW3104010481MaRDI QIDQ3458794

Tomas Persson, Tom Kempton

Publication date: 23 December 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06740

zbMATH Keywords

Bernoulli convolutionsabsolutely continuous invariant measurestent maps

Mathematics Subject Classification ID

Related Items (1)

Recent progress on Bernoulli convolutions

Cites Work

• On cusps and flat tops
• On self-similar sets with overlaps and inverse theorems for entropy
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• Absolute continuity of Bernoulli convolutions, a simple proof
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Discrete Bernoulli convolutions: An algorithmic approach toward bound improvement
• Arithmetic Properties of Bernoulli Convolutions
• The statistical stability of equilibrium states for interval maps
• Spacings and pair correlations for finite Bernoulli convolutions
• Bounded variation and invariant measures
• Some properties of absolutely continuous invariant measures on an interval
• Random Series in Powers of Algebraic Integers: Hausdorff Dimension of the Limit Distribution
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