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Hausdorff dimension of measures with arithmetically restricted spectrum. / Ayoush, Rami; Stolyarov, Dmitriy; Wojciechowski, Michał.

In: Annales Academiae Scientiarum Fennicae Mathematica, Vol. 46, No. 1, 2021, p. 537-551.

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

Harvard

Ayoush, R, Stolyarov, D & Wojciechowski, M 2021, 'Hausdorff dimension of measures with arithmetically restricted spectrum', Annales Academiae Scientiarum Fennicae Mathematica, vol. 46, no. 1, pp. 537-551.

APA

Ayoush, R., Stolyarov, D., & Wojciechowski, M. (2021). Hausdorff dimension of measures with arithmetically restricted spectrum. Annales Academiae Scientiarum Fennicae Mathematica, 46(1), 537-551.

Vancouver

Ayoush R, Stolyarov D, Wojciechowski M. Hausdorff dimension of measures with arithmetically restricted spectrum. Annales Academiae Scientiarum Fennicae Mathematica. 2021;46(1):537-551.

Author

Ayoush, Rami ; Stolyarov, Dmitriy ; Wojciechowski, Michał. / Hausdorff dimension of measures with arithmetically restricted spectrum. In: Annales Academiae Scientiarum Fennicae Mathematica. 2021 ; Vol. 46, No. 1. pp. 537-551.

BibTeX

@article{f77ac71dffd242f0ba4820f0ed3798ad,
title = "Hausdorff dimension of measures with arithmetically restricted spectrum",
abstract = "We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle based on the arithmetic properties of their spectra. We obtain those bounds via adaptation of our previous results for martingales on -regular trees to a specific backwards martingale. To show the sharpness of our method, we improve the best numerical lower bound known for the Hausdorff dimension of certain Riesz products.",
keywords = "Hausdorff dimension, fourier transform",
author = "Rami Ayoush and Dmitriy Stolyarov and Micha{\l} Wojciechowski",
note = "Ayoush, R., Stolyarov, D., & Wojciechowski, M. (2021). Hausdorff dimension of measures with arithmetically restricted spectrum. Annales Fennici Mathematici, 46(1), 537–551. Retrieved from https://afm.journal.fi/article/view/109627",
year = "2021",
language = "English",
volume = "46",
pages = "537--551",
journal = "Annales Academiae Scientiarum Fennicae Mathematica",
issn = "1239-629X",
publisher = "Finnish Academy of Science and Letters",
number = "1",

}

RIS

TY - JOUR

T1 - Hausdorff dimension of measures with arithmetically restricted spectrum

AU - Ayoush, Rami

AU - Stolyarov, Dmitriy

AU - Wojciechowski, Michał

N1 - Ayoush, R., Stolyarov, D., & Wojciechowski, M. (2021). Hausdorff dimension of measures with arithmetically restricted spectrum. Annales Fennici Mathematici, 46(1), 537–551. Retrieved from https://afm.journal.fi/article/view/109627

PY - 2021

Y1 - 2021

N2 - We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle based on the arithmetic properties of their spectra. We obtain those bounds via adaptation of our previous results for martingales on -regular trees to a specific backwards martingale. To show the sharpness of our method, we improve the best numerical lower bound known for the Hausdorff dimension of certain Riesz products.

AB - We provide an estimate from below for the lower Hausdorff dimension of measures on the unit circle based on the arithmetic properties of their spectra. We obtain those bounds via adaptation of our previous results for martingales on -regular trees to a specific backwards martingale. To show the sharpness of our method, we improve the best numerical lower bound known for the Hausdorff dimension of certain Riesz products.

KW - Hausdorff dimension

KW - fourier transform

UR - https://afm.journal.fi/article/view/109627

M3 - Article

VL - 46

SP - 537

EP - 551

JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

SN - 1239-629X

IS - 1

ER -

ID: 94937116