Masaki Tsukamoto
- From rate distortion theory to metric mean dimension: variational principle
2017/02/19 by Elon Lindenstrauss, Masaki Tsukamoto, Lindenstrauss, Elon +1 · 3 citations
Computer Science · Mathematics · #37A05 #37B99 #94A34 #Advanced Data Compression Techniques #Chaos-based Image/Signal Encryption #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods
- Double variational principle for mean dimension with potential
2019/01/17 by Masaki Tsukamoto, Tsukamoto, Masaki · 2 citations
Computer Science · Mathematics · #37A05 #37B99 #94A34 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Information Theory (cs.IT) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
- On an analogue of the Hurewicz theorem for mean dimension
2022/06/07 by Masaki Tsukamoto, Tsukamoto, Masaki · 2 citations
Mathematics · #37B99 #54F45 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #General Topology (math.GN) #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis
- Simple proof of the global inverse function theorem via the Hopf--Rinow theorem
2023/06/30 by Shinobu Ohkita, Masaki Tsukamoto, Ohkita, Shinobu +1 · 1 citation
Mathematics · #26B10 #53C22 #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications