Local dimensions for the random β-transformation

K. Dajani; C.C.C.J. Kalle

Local dimensions for the random β-transformation

K. Dajani, C.C.C.J. Kalle

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

Abstract

The random β-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of β and use the projection to obtain results on the local dimension of the Bernoulli convolution.

Original language	English
Pages (from-to)	285-303
Number of pages	19
Journal	New York Journal of Mathematics
Volume	19
Publication status	Published - 2013

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19-15v
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http://nyjm.albany.edu/j/2013/19-15.htmlLicence: CC BY

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title = "Local dimensions for the random β-transformation",

abstract = "The random β-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of β and use the projection to obtain results on the local dimension of the Bernoulli convolution.",

author = "K. Dajani and C.C.C.J. Kalle",

year = "2013",

language = "English",

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journal = "New York Journal of Mathematics",

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AU - Dajani, K.

AU - Kalle, C.C.C.J.

PY - 2013

Y1 - 2013

N2 - The random β-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of β and use the projection to obtain results on the local dimension of the Bernoulli convolution.

AB - The random β-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of β and use the projection to obtain results on the local dimension of the Bernoulli convolution.

M3 - Article

SN - 1076-9803

VL - 19

SP - 285

EP - 303

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

ER -

Local dimensions for the random β-transformation

Abstract

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