Lq-Spectrum of the Bernoulli Convolution Associated With the Golden Ratio

Ka Sing Lau; Sze Man Ngai

doi:10.4064/sm-131-3-225-251

Lq-Spectrum of the Bernoulli Convolution Associated With the Golden Ratio

Ka Sing Lau, Sze Man Ngai

Mathematical Sciences

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Abstract

Based on a set of higher order self-similar identifications for the Bernoulli convolution measure for (√5-1) / 2 given by Strichartz et al., we derive a formula for the L q -spectrum, q> 0, of the measure. This is the first set of condition that does not hold.

Original language	American English
Journal	Studia Mathematica
Volume	131
DOIs	https://doi.org/10.4064/sm-131-3-225-251
State	Published - 1998

Keywords

Bernoulli convolution
Golden ratio
Lq-spectrum

DC Disciplines

Mathematics

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10.4064/sm-131-3-225-251License: Unspecified

Cite this

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abstract = " Based on a set of higher order self-similar identifications for the Bernoulli convolution measure for (√5-1) / 2 given by Strichartz et al., we derive a formula for the L q -spectrum, q> 0, of the measure. This is the first set of condition that does not hold. ",

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note = "Conference on functional analysis (September 4-10, 1960, Warsaw) S. Mazur Studia Mathematica (1963), 1-6 DOI: 10.4064/sm-Special Series-1-1-6",

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AU - Ngai, Sze Man

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PY - 1998

Y1 - 1998

N2 - Based on a set of higher order self-similar identifications for the Bernoulli convolution measure for (√5-1) / 2 given by Strichartz et al., we derive a formula for the L q -spectrum, q> 0, of the measure. This is the first set of condition that does not hold.

AB - Based on a set of higher order self-similar identifications for the Bernoulli convolution measure for (√5-1) / 2 given by Strichartz et al., we derive a formula for the L q -spectrum, q> 0, of the measure. This is the first set of condition that does not hold.

KW - Bernoulli convolution

KW - Golden ratio

KW - Lq-spectrum

UR - https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/131/3/110669/l-q-spectrum-of-the-bernoulli-convolution-associated-with-the-golden-ratio

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DO - 10.4064/sm-131-3-225-251

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SN - 0039-3223

VL - 131

JO - Studia Mathematica

JF - Studia Mathematica

ER -

Lq-Spectrum of the Bernoulli Convolution Associated With the Golden Ratio

Abstract

Keywords

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