On the maximal run-length function in the Lüroth expansion

Yu Sun; Jian Xu

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 1, page 277-291
  • ISSN: 0011-4642

Abstract

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We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.

How to cite

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Sun, Yu, and Xu, Jian. "On the maximal run-length function in the Lüroth expansion." Czechoslovak Mathematical Journal 68.1 (2018): 277-291. <http://eudml.org/doc/294301>.

@article{Sun2018,
abstract = {We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.},
author = {Sun, Yu, Xu, Jian},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lüroth expansion; run-length function; Hausdorff dimension},
language = {eng},
number = {1},
pages = {277-291},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the maximal run-length function in the Lüroth expansion},
url = {http://eudml.org/doc/294301},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Sun, Yu
AU - Xu, Jian
TI - On the maximal run-length function in the Lüroth expansion
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 1
SP - 277
EP - 291
AB - We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.
LA - eng
KW - Lüroth expansion; run-length function; Hausdorff dimension
UR - http://eudml.org/doc/294301
ER -

References

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