A multiparameter variant of the salem-zygmund central limit theorem on lacunary trigonometric series

Mordechay B. Levin

doi:10.4064/cm131-1-2

A multiparameter variant of the salem-zygmund central limit theorem on lacunary trigonometric series

Mordechay B. Levin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the central limit theorem for the multisequence where are partially hyperbolic commuting s x s matrices, and x is a uniformly distributed random variable in [0, 1]^s. The main tool is the S-unit theorem.

Original language	English
Pages (from-to)	13-28
Number of pages	16
Journal	Colloquium Mathematicum
Volume	131
Issue number	1
DOIs	https://doi.org/10.4064/cm131-1-2
State	Published - 2013

Keywords

Central limit theorem
Lacunary trigonometric series
Partially hyperbolic systems

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10.4064/cm131-1-2

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KW - Lacunary trigonometric series

KW - Partially hyperbolic systems

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A multiparameter variant of the salem-zygmund central limit theorem on lacunary trigonometric series

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Keywords

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