On the maximal run-length function in the Lüroth expansion
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 277-291.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/CMJ.2018.0474-16
Classification : 11K55, 28A80
Keywords: Lüroth expansion; run-length function; Hausdorff dimension
@article{10_21136_CMJ_2018_0474_16,
     author = {Sun, Yu and Xu, Jian},
     title = {On the maximal run-length function in the {L\"uroth} expansion},
     journal = {Czechoslovak Mathematical Journal},
     pages = {277--291},
     publisher = {mathdoc},
     volume = {68},
     number = {1},
     year = {2018},
     doi = {10.21136/CMJ.2018.0474-16},
     mrnumber = {3783599},
     zbl = {06861581},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0474-16/}
}
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
SP  - 277
EP  - 291
VL  - 68
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0474-16/
DO  - 10.21136/CMJ.2018.0474-16
LA  - en
ID  - 10_21136_CMJ_2018_0474_16
ER  - 
%0 Journal Article
%A Sun, Yu
%A Xu, Jian
%T On the maximal run-length function in the Lüroth expansion
%J Czechoslovak Mathematical Journal
%D 2018
%P 277-291
%V 68
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0474-16/
%R 10.21136/CMJ.2018.0474-16
%G en
%F 10_21136_CMJ_2018_0474_16
Sun, Yu; Xu, Jian. On the maximal run-length function in the Lüroth expansion. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 277-291. doi : 10.21136/CMJ.2018.0474-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0474-16/

Cité par Sources :