Abstract
We describe how the multifractal analysis of dynamical systems can be used to compute the Hausdorff dimension of a large class of sets in the real line, defined in terms of relations between the frequencies of digits in some integer base. As an illustration we compute the Hausdorff dimension of a class of sets in [0,1] that are defined in terms of linear or quadratic relations between the frequencies of digits. Although these relations are only prototypes of more general ones, the computations follow the same procedure and are already rather involved.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
