FUKUSHIMA KIMURA, Bruno Hideki Assistant Professor

Applied Mathematics

Organization
Institute for the Advancement of Higher Education
Research Interest
Statistical mechanics, Probability theory, Mathematical physics
Keywords
Ising model, Stochastic optimization, Phase transition, Ergodic theory, Self-avoiding walk

Research Activities

My research focuses on both the theoretical and applied aspects of probability theory and statistical physics. This includes developing stochastic algorithms to address Quadratic Unconstrained Binary Optimization (QUBO) problems, exploring phase transitions and metastability in long-range Ising models, and examining the connections between different concepts of Gibbs measures found in statistical mechanics and dynamical systems. I am driven by a passion to enhance our understanding of statistical mechanical models, recognizing their potential to make a tangible impact on real-world applications while promoting interdisciplinary collaborations.

Papers

  • B.H. Fukushima-Kimura, N. Kawamoto, E. Noda, A. Sakai. Mathematical Aspects of the Digital Annealer’s Simulated Annealing Algorithm, Journal of Statistical Physics. 190 (2023) 190.
  • B.H. Fukushima-Kimura, S. Handa, K. Kamakura, Y. Kamijima, K. Kawamura, A. Sakai. Mixing Time and Simulated Annealing for the Stochastic Cellular Automata, Journal of Statistical Physics. 190 (2023) 79.
  • K. Kawamura, J. Yu, D. Okonogi, S. Jimbo, G. Inoue, A. Hyodo, A.L. García-Arias, K. Ando, B.H. Fukushima-Kimura, R. Yasudo, T. Van Chu, M. Motomura. Amorphica: 4-Replica 512-Fully-Connected-Spin 336MHz Metamorphic Annealer With Programmable Optimization-Strategy and Compressed-Spin-Transfer Multi-Chip Extension, in: 2023 IEEE International Solid-State Circuits Conference (ISSCC), 2023: pp. 42–44.
  • A.C.D. van Enter, B. Kimura, W.M. Ruszel, C. Spitoni. Nucleation for One-Dimensional Long-Range Ising Models, Journal of Statistical Physics. 174 (2019) 1327–1345.
  • R. Bissacot, E.O. Endo, A.C.D. van Enter, B. Kimura, W.M. Ruszel. Contour Methods for Long-Range Ising Models: Weakening Nearest-Neighbor Interactions and Adding Decaying Fields, Annales Henri Poincaré. 19 (2018) 2557–2574.

Contact

bruno（at）math.sci.hokudai.ac.jp