Dedicated to the memory of Paul Erdős
We extend a result of J. Alexander and D. Zagier on the Garsia entropy of the Erdős measure. Our investigation heavily relies on methods from combinatorics on words. Furthermore, we introduce a new singular measure related to the Farey tree.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received October 7, 1999
RID="†"
ID="†" This author is supported by the START-project Y96-MAT of the Austrian Science Fund
RID="‡"
ID="‡" This author is supported by the Austrian Science Fund (FWF) grant P14200-MAT
RID="*"
ID="*" This author is supported by the Austrian Science Fund (FWF) grant S8307-MAT
Rights and permissions
About this article
Cite this article
Grabner, P., Kirschenhofer, P. & Tichy, R. Combinatorial and Arithmetical Properties of Linear Numeration Systems. Combinatorica 22, 245–267 (2002). https://doi.org/10.1007/s004930200011
Issue Date:
DOI: https://doi.org/10.1007/s004930200011