Research field (4):
Applied mathematics and statistics
, Basic mathematics
, Mathematical physics and basic theory
, Mathematical analysis
Research keywords (14):
probability theory
, statistical mechanics
, mathematical physics
, phase transition
, critical behavior
, lace expansion
, Ising model
, φ^4 model
, contact process
, percolation
, lattice trees
, lattice animals
, self-avoiding walk
, random walk
Research theme for competitive and other funds (7):
2023 - 2027 Comprehensive study on mathematical aspects of metallic ferromagnetism
2023 - 2026 Lace-expansion approach towards phase transitions, critical phenomena and constructive field theory
2018 - 2024 Optimization problems and their solutions with safe and secure quality validation based on mathematics
2018 - 2022 Rigorous analysis for high-dimensional critical behavior and crossover of various mathematical models
2015 - 2018 On yet-open questions about Ising ferromagnets
2012 - 2015 Analysis of critical behavior for spin systems using stochastic-geometrical representations
2009 - 2012 Advancement of the lace expansion and its applications
Show all
Papers (37):
Akira Sakai. Work of Hugo Duminil-Copin. Sugaku. 2024. 76. 1. 48-60
Bruno Hideki Fukushima-Kimura, Noe Kawamoto, Eitaro Noda, Akira Sakai. Mathematical Aspects of the Digital Annealer’s Simulated Annealing Algorithm. Journal of Statistical Physics. 2023. 190. 12
Noe Kawamoto, Akira Sakai. Spread-out limit of the critical points for lattice trees and lattice animals in dimensions d>8. Combinatorics, Probability and Computing. 2023. 33. 2. 238-269
Bruno Hideki Fukushima-Kimura, Satoshi Handa, Katsuhiro Kamakura, Yoshinori Kamijima, Kazushi Kawamura, Akira Sakai. Mixing Time and Simulated Annealing for the Stochastic Cellular Automata. Journal of Statistical Physics. 2023. 190. 4
Bruno Hideki Fukushima-Kimura, Yoshinori Kamijima, Kazushi Kawamura, Akira Sakai. Stochastic optimization: Glauber dynamics versus stochastic cellular automata. Transactions of the Institute of Systems, Control and Information Engineers. 2023. 36. 1. 9-16
上島 芳倫, 坂井 哲. Stability of the phase transition and critical behavior of the Ising model against quantum perturbation-確率論シンポジウム. 数理解析研究所講究録. 2023. 2246. 5-15