DIMENSION SPECTRUM FOR A NONCONVENTIONAL ERGODIC AVERAGE

Yuval Peres; Boris Solomyak

doi:https://doi.org/10.14321/realanalexch.37.2.0375

DIMENSION SPECTRUM FOR A NONCONVENTIONAL ERGODIC AVERAGE

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

Abstract

We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of 0, 1 sequences, for which the frequency of the pattern 11 in positions k, 2k equals a given number θ ∈ [0, 1].

Original language	English
Pages (from-to)	375-388
Number of pages	14
Journal	Real Analysis Exchange
Volume	37
Issue number	2
DOIs	https://doi.org/10.14321/realanalexch.37.2.0375
State	Published - 2012
Externally published	Yes

Keywords

Hausdorff dimension
multifractal analysis
multiple Birkhoff average

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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https://doi.org/10.14321/realanalexch.37.2.0375

Cite this

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title = "DIMENSION SPECTRUM FOR A NONCONVENTIONAL ERGODIC AVERAGE",

abstract = "We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of 0, 1 sequences, for which the frequency of the pattern 11 in positions k, 2k equals a given number θ ∈ [0, 1].",

keywords = "Hausdorff dimension, multifractal analysis, multiple Birkhoff average",

author = "Yuval Peres and Boris Solomyak",

year = "2012",

doi = "https://doi.org/10.14321/realanalexch.37.2.0375",

language = "الإنجليزيّة",

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journal = "Real Analysis Exchange",

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publisher = "Michigan State University Press",

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T1 - DIMENSION SPECTRUM FOR A NONCONVENTIONAL ERGODIC AVERAGE

AU - Peres, Yuval

AU - Solomyak, Boris

PY - 2012

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N2 - We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of 0, 1 sequences, for which the frequency of the pattern 11 in positions k, 2k equals a given number θ ∈ [0, 1].

AB - We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of 0, 1 sequences, for which the frequency of the pattern 11 in positions k, 2k equals a given number θ ∈ [0, 1].

KW - Hausdorff dimension

KW - multifractal analysis

KW - multiple Birkhoff average

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U2 - https://doi.org/10.14321/realanalexch.37.2.0375

DO - https://doi.org/10.14321/realanalexch.37.2.0375

M3 - مقالة

SN - 0147-1937

VL - 37

SP - 375

EP - 388

JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 2

ER -

DIMENSION SPECTRUM FOR A NONCONVENTIONAL ERGODIC AVERAGE

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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