Takahasi, Hiroki
- Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches
2020/04/09 by Johannes Jaerisch, Hiroki Takahasi, Jaerisch, Johannes +1 · 6 citations
Mathematics · Physics and Astronomy · Computer Science · #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #Topological and Geometric Data Analysis
- Large Deviation Principles for countable Markov shifts
2018/02/27 by Hiroki Takahasi, Takahasi, Hiroki · 3 citations
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Markov Chains and Monte Carlo Methods #Cellular Automata and Applications
- Hausdorff dimension of sets with restricted, slowly growing partial quotients in semi-regular continued fractions
2022/09/17 by Yuto Nakajima, Hiroki Takahasi, Nakajima, Yuto +1 · 2 citations
Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Number Theory (math.NT)
- Large Deviation Principle for arithmetic functions in continued fraction expansion
2018/03/26 by Hiroki Takahasi, Takahasi, Hiroki · 1 citation
Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #Number Theory (math.NT) #Probability (math.PR)
- Restricted slowly growing digits for infinite iterated function systems
2023/12/28 by Gerardo González Robert, Mumtaz Hussain, Robert, Gerardo González +5 · 1 citation
Mathematics · Biochemistry, Genetics and Molecular Biology · #Mathematical Dynamics and Fractals #Caveolin-1 and cellular processes
- A problem of Hirst for the Hurwitz continued fraction and the Hausdorff dimension of sets with restricted slowly growing digits
2025/04/15 by Yuto Nakajima, Hiroki Takahasi, Nakajima, Yuto +1 · 1 citation
Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Meromorphic and Entire Functions
- Density combinatorics theorems in fractal dimension theory of continued fractions
2025/02/15 by Yuto Nakajima, Nakajima, Yuto, Hiroki Takahasi +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory