Shirai, Tomoyuki
- Limit theorems for persistence diagrams
2016/12/26 by Trinh Khanh Duy, Duy, Trinh Khanh, Yasuaki Hiraoka +3 · 6 citations
Computer Science · Mathematics · Medicine · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Neuroimaging Techniques and Applications
- Tutte polynomials and random-cluster models in Bernoulli cell complexes
2016/02/15 by Yasuaki Hiraoka, Tomoyuki Shirai, Hiraoka, Yasuaki +1 · 3 citations
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals
- A limit theorem for persistence diagrams of random filtered complexes built over marked point processes
2021/03/16 by Tomoyuki Shirai, Shirai, Tomoyuki, Kiyotaka Suzaki +1 · 2 citations
Computer Science · Mathematics · Medicine · #55N20 (Secondary) #60B10 (Primary) #60K35 #Advanced Neuroimaging Techniques and Applications #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Probability (math.PR) #Topological and Geometric Data Analysis
- Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process
2015/03/19 by Yasuaki Hiraoka, Tomoyuki Shirai, Hiraoka, Yasuaki +1 · 2 citations
Computer Science · Mathematics · #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Topological and Geometric Data Analysis
- Note on the spectrum of discrete Schrödinger operators
2012/09/04 by Fumio Hiroshima, Hiroshima, Fumio, Itaru Sasaki +5 · 1 citation
Mathematics · #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #advanced mathematical theories
- Fiber decomposition of non-commutative harmonic oscillators by two-photon quantum Rabi models
2024/08/08 by Fumio Hiroshima, Tomoyuki Shirai, Hiroshima, Fumio +1 · 1 citation
Mathematics · Computer Science · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics
- Weighted Point Configurations with Hyperuniformity: An Ecological Example and Models
2025/01/22 by Ayana Ezoe, Ezoe, Ayana, Makoto Katori +3 · 1 citation
Engineering · Mathematics · #Adaptation and Self-Organizing Systems (nlin.AO) #Biological Physics (physics.bio-ph) #FOS: Biological sciences #FOS: Physical sciences #Mathematics and Applications #Point processes and geometric inequalities #Populations and Evolution (q-bio.PE) #Statistical Mechanics (cond-mat.stat-mech) #Structural Analysis and Optimization