Photo by sarahdorweiler from unsplash
We study the set consisting of univoque sequences, the set consisting of sequences in which the lengths of consecutive zeros and consecutive ones are bounded, and their frequency subsets ,… Click to show full abstract
We study the set consisting of univoque sequences, the set consisting of sequences in which the lengths of consecutive zeros and consecutive ones are bounded, and their frequency subsets , , and , , consisting of sequences respectively in and with frequency, lower frequency and upper frequency of zeros equal to some . The Hausdorff dimension of all these sets are obtained by studying the dynamical system where is the shift map and for integer , studying the Bernoulli-type measures on and finding out the unique equivalent -invariant ergodic probability measure.
Journal Title: Dynamical Systems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!