Sakai Akira 坂井哲

… Alternative Names

SAKAI Akira 坂井哲

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Researcher Number	50506996
Other IDs
External Links
Affiliation (Current)	2025: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 北海道大学, 理学研究院, 教授 2016 – 2018: 北海道大学, 理学研究院, 准教授 2012 – 2015: 北海道大学, 理学(系)研究科(研究院), 准教授 2011: 北海道大学, 大学院・理学研究院, 准教授 2009 – 2010: Hokkaido University, 創成研究機構, 特任助教
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related / Basic Section 12040:Applied mathematics and statistics-related / Basic analysis Except Principal Investigator Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related
Keywords	Principal Investigator 臨界現象 / イジング模型 / レース展開 / 相転移 / パーコレーション / 自己回避歩行 / 構成的場の理論 / ランダム媒質 / 量子イジング模型 / 臨界2点関数 … More / クロスオーバー現象 / 上部臨界次元 / 確率幾何的表現 / 低温相 / 1-arm指数 / イジング模型（オランダ） / 1-arm指数（オランダ） / イジング1-arm指数（オランダ） / レース展開（台湾） / イジング模型（オランダ，台湾） / イジング1-arm指数 / φ4乗モデル / スピン系臨界現象 / コンタクトプロセス / 高次元臨界現象 / 確率論 … More Except Principal Investigator 作用素環 / 作用素不等式 / 基底状態 / Pirogov-Sinai理論 / 確率過程論 / 作用素環論 / 長距離秩序 / 金属強磁性 Less

A comprehensive study on the mathematical aspects of metallic ferromagnetism
- Principal Investigator
  
  宮尾忠宏
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
  Basic Section 12040:Applied mathematics and statistics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Hokkaido University
Lace-expansion approach towards phase transitions, critical phenomena and constructive field theoryPrincipal Investigator
- Principal Investigator
  
  坂井哲
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
Rigorous analysis for high-dimensional critical behavior and crossover phenomena in mathematical modelsPrincipal Investigator
- Principal Investigator
  
  Sakai Akira
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Hokkaido University
On yet-open questions about Ising ferromagnetsPrincipal Investigator
- Principal Investigator
  
  Sakai Akira
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Analysis of critical behavior for spin systems using stochastic-geometrical representationsPrincipal Investigator
- Principal Investigator
  
  SAKAI Akira
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hokkaido University
Advancement of the lace expansion and its applicationsPrincipal Investigator
- Principal Investigator
  
  SAKAI Akira
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hokkaido University

[Journal Article] Hugo Duminil-Copin氏の業績2024
- Author(s)
  坂井　哲
- Journal Title
  
  数学
  
  Volume: 76 Pages: 48-60
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03143
[Journal Article] Mathematical Aspects of the Digital Annealer’s Simulated Annealing Algorithm2023
- Author(s)
  Fukushima-Kimura Bruno Hideki、Kawamoto Noe、Noda Eitaro、Sakai Akira
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 190 Issue: 12
- DOI
  10.1007/s10955-023-03179-3
- Data Source
  KAKENHI-PROJECT-23K03143
[Journal Article] Spread-out limit of the critical points for lattice trees and lattice animals in dimensions2023
- Author(s)
  Kawamoto Noe、Sakai Akira
- Journal Title
  
  Combinatorics, Probability and Computing
  
  Volume: 33 Issue: 2 Pages: 238-269
- DOI
  10.1017/s096354832300038x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03143
[Journal Article] Mixing Time and Simulated Annealing for the Stochastic Cellular Automata2023
- Author(s)
  Fukushima-Kimura Bruno Hideki、Handa Satoshi、Kamakura Katsuhiro、Kamijima Yoshinori、Kawamura Kazushi、Sakai Akira
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 190 Issue: 4
- DOI
  10.1007/s10955-023-03090-x
- Data Source
  KAKENHI-PROJECT-23K03143
[Journal Article] Stability of the phase transition and critical behavior of the Ising model against quantum perturbation2023
- Author(s)
  Kamijima Yoshinori, Sakai Akira
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2246
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K03143
[Journal Article] パーコレーションの数理20202022
- Author(s)
  坂井　哲
- Journal Title
  
  数学
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] Correct bounds on the Ising lace-expansion coefficients2022
- Author(s)
  Akira Sakai
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: - Issue: 3 Pages: 783-823
- DOI
  10.1007/s00220-022-04354-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] パーコレーションの数理 20202022
- Author(s)
  坂井　哲
- Journal Title
  
  数学
  
  Volume: 74 Pages: 253-279
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] Crossover phenomena in the critical behavior for long-range models with power-law couplings2020
- Author(s)
  Akira Sakai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B79 Pages: 51-62
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] Critical two-point function for long-range models with power-law couplings: The marginal case for d≧dc2019
- Author(s)
  Chen Lung-Chi、Sakai Akira
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 372 Issue: 2 Pages: 543-572
- DOI
  10.1007/s00220-019-03385-9
- NAID
  120006937027
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] A survey on the lace expansion for the nearest-neighbor models on the BCC lattice2019
- Author(s)
  Handa Satoshi、Kamijima Yoshinori、Sakai Akira
- Journal Title
  
  Taiwanese Journal of Mathematics
  
  Volume: － Issue: 3 Pages: 723-784
- DOI
  10.11650/tjm/190904
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees2019
- Author(s)
  Sakai Akira、Slade Gordon
- Journal Title
  
  Electronic Journal of Probability
  
  Volume: 24 Issue: none
- DOI
  10.1214/19-ejp327
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Journal Article] Hyperscaling for Oriented Percolation in 1+1 Space-Time Dimensions2018
- Author(s)
  Sakai Akira
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 171 Issue: 3 Pages: 462-469
- DOI
  10.1007/s10955-018-2020-2
- NAID
  120006626561
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13440
[Journal Article] Co-ordinated Regulations of mRNA Synthesis and Decay during Cold Acclimation in Arabidopsis Cells2017
- Author(s)
  Arae Toshihiro、Isai Shiori、Sakai Akira、Mineta Katsuhiko、Yokota Hirai Masami、Suzuki Yuya、Kanaya Shigehiko、Yamaguchi Junji、Naito Satoshi、Chiba Yukako
- Journal Title
  
  Plant and Cell Physiology
  
  Volume: 58 Issue: 6 Pages: 1090-1102
- DOI
  10.1093/pcp/pcx059
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K07241, KAKENHI-PROJECT-16J02378, KAKENHI-PROJECT-15K13440
[Journal Article] The quenched critical point for self-avoiding walk on random conductors2016
- Author(s)
  Yuki Chino, Akira Sakai
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 163 Issue: 4 Pages: 754-764
- DOI
  10.1007/s10955-016-1477-0
- NAID
  120006220038
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13440
[Journal Article] Critical two-point functions for long-range statistical-mechanical models in high dimensions2015
- Author(s)
  Akira Sakai, Lung-Chi Chen
- Journal Title
  
  The Annals of Probability
  
  Volume: 43 Issue: 2 Pages: 639-681
- DOI
  10.1214/13-aop843
- NAID
  120005530846
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540106
[Journal Article] Application of the lace expansion to the φ^4 model2015
- Author(s)
  Akira Sakai
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 336 Issue: 2 Pages: 619-648
- DOI
  10.1007/s00220-014-2256-x
- NAID
  120005906768
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540106
[Journal Article] Critical two-point functions for long-range statistical-mechanical models in high dimensions2014
- Author(s)
  Lung-Chi Chen and Akira Sakai
- Journal Title
  
  The Annals of Probability
  
  Volume: N/A
- NAID
  120005530846
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540106
[Journal Article] Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation2011
- Author(s)
  Akira Sakai, Lung-Chi Chen
- Journal Title
  
  The Annals of Probability
  
  Volume: Vol.39 Issue: 2 Pages: 507-548
- DOI
  10.1214/10-aop557
- NAID
  120002834721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740059
[Journal Article] Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation2011
- Author(s)
  Lung-Chi Chen, Akira Sakai
- Journal Title
  
  The Annals of Probability
  
  Volume: 39 Pages: 507-548
- NAID
  120002834721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740059
[Journal Article] Large-time asymptotics of the gyration radius for long-range statistical-mechanical models2011
- Author(s)
  Akira Sakai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: Vol.21 Pages: 53-62
- URL
  http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740059
[Journal Article] Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension : The higher-point functions2010
- Author(s)
  Remco van der Hofstad, Akira Sakai
- Journal Title
  
  Electronic Journal of Probability
  
  Volume: Vol.15 Issue: none Pages: 801-894
- DOI
  10.1214/ejp.v15-783
- NAID
  120002548789
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740059
[Journal Article] Critical behavior and the limit distribution for long-range oriented percolation. II : Spatial correlation2009
- Author(s)
  Akira Sakai, Lung-Chi Chen
- Journal Title
  
  Probability Theory and Related Fields
  
  Volume: Vol.145 Issue: 3-4 Pages: 435-458
- DOI
  10.1007/s00440-008-0174-6
- NAID
  120002513620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740059
[Journal Article] Critical behavior and the limit distribution for long-range oriented percolation. II : Spatial correlation2009
- Author(s)
  坂井哲
- Journal Title
  
  Probability Theory and Related Fields 145
  
  Pages: 435-458
- NAID
  120002513620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Mathematical foundation of various MCMC methods2024
- Author(s)
  Sakai Akira
- Organizer
  French Japanese Conference on Probability & Interactions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03143
[Presentation] 基底状態探索MCMCの数学的基礎2024
- Author(s)
  坂井　哲
- Organizer
  フォレストワークショップ2024
- Data Source
  KAKENHI-PROJECT-23K03143
[Presentation] Stability of the critical behavior of the Ising model against quantum perturbation2023
- Author(s)
  Akira Sakai
- Organizer
  Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Mathematical foundation of various MCMC methods2023
- Author(s)
  Sakai Akira
- Organizer
  Mathematics of Random Systems Summer School 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03143
[Presentation] Stability of the phase transition and critical behavior of the Ising model against quantum perturbation2022
- Author(s)
  坂井　哲
- Organizer
  確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Stability of the critical behavior of the Ising model against quantum perturbation2022
- Author(s)
  坂井　哲
- Organizer
  東京確率論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Spread-out limit of the critical points for various statistical-mechanics models2022
- Author(s)
  Akira Sakai
- Organizer
  Probability and Analysis on Random Structures and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Mixing time and simulated annealing for the stochastic cellular automata, and beyond2022
- Author(s)
  Akira Sakai
- Organizer
  Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Mixing time and simulated annealing for the stochastic cellular automata, and beyond2021
- Author(s)
  Akira Sakai
- Organizer
  確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Mixing time and simulated annealing for the stochastic cellular automata2020
- Author(s)
  Akira Sakai
- Organizer
  International Workshop on Microstructure-based Global Analysis and Its Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Critical two-point function for long-range models with power-law couplings: The marginal case for d≧dc2019
- Author(s)
  Sakai Akira
- Organizer
  The 12th MSJ-SI “Stochastic Analysis, Random Fields and Integrable Probability”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Finding optimal solutions by stochastic cellular automata2019
- Author(s)
  Sakai Akira
- Organizer
  Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Finding optimal solutions by stochastic cellular automata2019
- Author(s)
  Sakai Akira
- Organizer
  7th Wellington Workshop in Probability and Mathematical Statistics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Finding optimal solutions by stochastic cellular automata2019
- Author(s)
  Akira Sakai
- Organizer
  AIMaP 1-day Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Critical two-point function for long-range models with power-law couplings: The marginal case for d≧dc2019
- Author(s)
  Akira Sakai
- Organizer
  Auckland Seminar in Statistics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Critical two-point function for long-range models with power-law couplings: The marginal case for d≧dc2018
- Author(s)
  Akira Sakai
- Organizer
  2018 Spring Probability Workshop
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Critical two-point function for long-range models with power-law couplings: The marginal case for d≧dc2018
- Author(s)
  Akira Sakai
- Organizer
  High-dimensional Critical Phenomena in Random Environments
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Hyperscaling for oriented percolation in 1+1 space-time dimensions2018
- Author(s)
  Sakai Akira
- Organizer
  NUS Probability Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Critical two-point function for long-range models with power-law couplings: The marginal case for d≧dc2018
- Author(s)
  Akira Sakai
- Organizer
  17th International Symposium “Stochastic Analysis on Large-scale Interacting Systems”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] Hyperscaling for oriented percolation in 1+1 space-time dimensions2018
- Author(s)
  Akira Sakai
- Organizer
  Rikkyo Math Phys Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-18K03406
[Presentation] 有向パーコレーションの臨界現象：厳密な立場より2017
- Author(s)
  Sakai Akira
- Organizer
  Summer School 数理物理 2017
- Invited
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions2017
- Author(s)
  Akira Sakai
- Organizer
  Physical and Mathematical Approaches to Interacting Particle Systems: In Honer of 70th Birthday of Herbert Spohn
- Place of Presentation
  東京工業大学（東京都目黒区）
- Year and Date
  2017-01-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] 強磁性イジング模型の相転移・臨界現象に関する研究の最近の動向2017
- Author(s)
  Sakai Akira
- Organizer
  日本数学会2017年度秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for high-dimensional Ising ferromagnets2017
- Author(s)
  Sakai Akira
- Organizer
  Physical and Mathematical Approaches to Interacting Particle Systems - In Honer of 70th Birthday of Herbert Spohn
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Hyperscaling for oriented percolation in 1+1 space-time dimensions2017
- Author(s)
  Sakai Akira
- Organizer
  NTU Math Colloquium
- Invited
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] The lace expansion for self-avoiding walk and percolation on the BCC lattice2017
- Author(s)
  Sakai Akira
- Organizer
  阪大確率論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Self-avoiding walk on random conductors2016
- Author(s)
  Akira Sakai
- Organizer
  NZ Probability Workshop 2016
- Place of Presentation
  パイヒア（ニュージーランド）
- Year and Date
  2016-01-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions2016
- Author(s)
  Akira Sakai
- Organizer
  2016 Spring Probability Workshop
- Place of Presentation
  台北（台湾）
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Self-avoiding walk on random conductors2016
- Author(s)
  Akira Sakai
- Organizer
  The IMI Workshop “Mathematical Quantum Field Theory and Related Topics”
- Place of Presentation
  九州大学（福岡県福岡市）
- Year and Date
  2016-06-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions2016
- Author(s)
  Akira Sakai
- Organizer
  3rd Workshop on Probability Theory and its Applications
- Place of Presentation
  ソウル（韓国）
- Year and Date
  2016-12-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions2016
- Author(s)
  Akira Sakai
- Organizer
  15th Stochastic Analysis on Large Scale Interacting Systems
- Place of Presentation
  東京大学（東京都目黒区）
- Year and Date
  2016-11-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions2016
- Author(s)
  Akira Sakai
- Organizer
  2016 Taiwan Mathematical Society Annual Meeting
- Place of Presentation
  花蓮（台湾）
- Year and Date
  2016-12-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions2016
- Author(s)
  Akira Sakai
- Organizer
  International Conference on Probability Theory and Statistical Physics
- Place of Presentation
  上海（中国）
- Year and Date
  2016-03-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] The lace expansion for the nearest-neighbor models on the BCC lattice2016
- Author(s)
  Akira Sakai
- Organizer
  日本数学会秋季分科会
- Place of Presentation
  関西大学（大阪府吹田市）
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Self-avoiding walk on random conductors2016
- Author(s)
  Akira Sakai
- Organizer
  NCU Probability Seminar
- Place of Presentation
  桃園（台湾）
- Year and Date
  2016-03-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] The lace expansion for the nearest-neighbor models on the BCC lattice2016
- Author(s)
  Akira Sakai
- Organizer
  The BIRS Workshop “Random Structures in High Dimensions”
- Place of Presentation
  オアハカ（メキシコ）
- Year and Date
  2016-06-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Critical two-point function for the φ4 model in high dimensions2015
- Author(s)
  Akira Sakai
- Organizer
  IMS Workshop on Stochastic Processes in Random Media
- Place of Presentation
  シンガポール（シンガポール）
- Year and Date
  2015-05-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] Critical points for self-avoiding walk on random conductors2015
- Author(s)
  Akira Sakai
- Organizer
  Summer School on Dirichlet Form and Stochastic Analysis
- Place of Presentation
  関西大学（大阪府吹田市）
- Year and Date
  2015-08-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13440
[Presentation] An attempt to prove mean-field behavior for percolation in 7 dimensions2014
- Author(s)
  Akira Sakai
- Organizer
  NZ Probability Workshop 2014
- Place of Presentation
  Distinction Te Anau Hotel, New Zealand
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Critical two-point function for the lattice φ^4 model in dimensions d>42014
- Author(s)
  Akira Sakai
- Organizer
  UBC Probability Seminar
- Place of Presentation
  University of British Columbia (カナダ)
- Year and Date
  2014-09-10
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Recent progress in the lace expansion2013
- Author(s)
  Akira Sakai
- Organizer
  New Directions in Probability
- Place of Presentation
  ISI Bangalore, India
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] The lace expansion: rigorous analysis for critical phenomena2013
- Author(s)
  Akira Sakai
- Organizer
  第23回日本数理生物学会大会
- Place of Presentation
  静岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] An attempt to prove mean-field behavior for percolation in 7 dimensions2013
- Author(s)
  坂井　哲
- Organizer
  新潟確率論ワークショップ
- Place of Presentation
  新潟大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Application of the lace expansion to the φ4 model2013
- Author(s)
  Akira Sakai
- Organizer
  2013 NCTS Workshop on Stochastic Processes and Related Topics
- Place of Presentation
  National Center for Theoretical Sciences (Taiwan)
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for statistical-mechanical models with power-law decaying potentials2012
- Author(s)
  Akira Sakai
- Organizer
  New Zealand rrooaoillty workshop & Austialla and New Zealand Applied Probability Workshop
- Place of Presentation
  University of Auckland (New Zealand)(招待講演)
- Year and Date
  2012-01-24
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Application of the lace expansion to the φ4 model2012
- Author(s)
  Akira Sakai
- Organizer
  Scaling Limits in Models of Statistical Mechanics
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach (Germany)
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for statistical-mechanical models with power-law decaying potentials2012
- Author(s)
  Akira Sakai
- Organizer
  VU Probability Seminar
- Place of Presentation
  Vrije Universiteit Amsterdam (Netherlands)(招待講演)
- Year and Date
  2012-03-19
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Application of the lace expansion to the φ4 model2012
- Author(s)
  Akira Sakai
- Organizer
  Disorder in Probability and Statistical Mechanics
- Place of Presentation
  Universita di Modena e Reggio Emilia (Italy)
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Application of the lace expansion to the φ4 model2012
- Author(s)
  坂井　哲
- Organizer
  確率論シンポジウム
- Place of Presentation
  京都大学数理解析研究所（京都市）
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for statistical-mechanical models with power-law decaying potentials2012
- Author(s)
  Akira Sakai
- Organizer
  VU Probability Seminar
- Place of Presentation
  Vrije Universiteit Amsterdam(オランダ)
- Year and Date
  2012-03-19
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for statistical-mechanical models with power-law decaying potentials2012
- Author(s)
  Akira Sakai
- Organizer
  New Zealand Probability Workshop & Australia and New Zealand Applied Probability Workshop
- Place of Presentation
  The University of Auckland(ニュージーランド)
- Year and Date
  2012-01-24
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Applications of the lace expansion to theφ^4model2011
- Author(s)
  Akira Sakai
- Organizer
  Conference on Probability Theory, Statistical Physics, and Applications
- Place of Presentation
  New York University Abu Dhabi Institute(UAE)
- Year and Date
  2011-01-16
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] 臨界現象の厳密な解析を目指して2011
- Author(s)
  坂井哲
- Organizer
  語ろう数理解析
- Place of Presentation
  北海道大学
- Year and Date
  2011-09-06
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Application of the lace expansion to the ψ^4 model2011
- Author(s)
  Akira Sakai
- Organizer
  Conference on Probability Theory, Statistical Physics, and Applications
- Place of Presentation
  New York University Abu Dhabi Institute (UAE)(招待講演)
- Year and Date
  2011-01-16
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for long-range statistical-mechanical models in high dimensions2011
- Author(s)
  Akira Sakai
- Organizer
  The 7^<th> HU and SNU Symposium on Mathematics "Recent Developments in Mathematical Analysis and Related Fields"
- Place of Presentation
  Seoul National University(韓国)
- Year and Date
  2011-11-17
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] 臨界現象の数理2011
- Author(s)
  坂井哲
- Organizer
  第8回城崎新人セミナー
- Place of Presentation
  城崎市民センター(兵庫県豊岡市)
- Year and Date
  2011-02-16
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for long-range statistical-mechanical models in high dimensions2011
- Author(s)
  Akira Sakai
- Organizer
  The 7^<th> HU and SNU Symposium on Mathematics "Recent Developments in Mathematical Analysis and Related Fields"
- Place of Presentation
  Seoul National University (South Korea)(招待講演)
- Year and Date
  2011-11-17
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] 臨界現象の厳密な解析を目指して2011
- Author(s)
  坂井哲
- Organizer
  語ろう数理解析
- Place of Presentation
  北海道大学(札幌市)(招待講演)
- Year and Date
  2011-09-06
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] The lace expansion for lattice models in high dimensions2010
- Author(s)
  坂井哲
- Organizer
  第11回北東数学解析研究会
- Place of Presentation
  北海道大学(札幌市)
- Year and Date
  2010-02-23
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] The lace expansion for lattice models in high dimensions2010
- Author(s)
  坂井哲
- Organizer
  第11回北東数学解析研究会
- Place of Presentation
  北海道大学
- Year and Date
  2010-02-23
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for long-range statistical-mechanical models in high dimensions2010
- Author(s)
  坂井哲
- Organizer
  確率論シンポジウム
- Place of Presentation
  京都大学
- Year and Date
  2010-12-20
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Lace expansion in the past and future2010
- Author(s)
  Akira Sakai
- Organizer
  The 34^<th> Conference on Stochastic Processes and their Applications
- Place of Presentation
  千里ライフセンター(大阪市)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Lace expansion in the past and future2010
- Author(s)
  Akira Sakai
- Organizer
  The 34^<th> Conference on Stochastic Processes and their Applications
- Place of Presentation
  千里ライフサイエンスセンター(大阪府)(招待講演)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for long-range statistical-mechanical models in high dimensions2010
- Author(s)
  坂井哲
- Organizer
  確率論シンポジウム
- Place of Presentation
  京都大学(京都府)
- Year and Date
  2010-12-20
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior of the gyration radius for long-range selfavoiding walk and long-range oriented percolation2009
- Author(s)
  坂井哲
- Organizer
  繰り込み群の数理科学での応用
- Place of Presentation
  京都大学
- Year and Date
  2009-09-10
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation2009
- Author(s)
  坂井哲
- Organizer
  第8回大規模相互作用系の確率解析
- Place of Presentation
  東京大学(東京都)
- Year and Date
  2009-10-08
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior of the gyration radius for long-range selfavoiding walk and long-range oriented percolation2009
- Author(s)
  Akira Sakai
- Organizer
  Scaling Limits in Models of Statistical Mechanics
- Place of Presentation
  The Mathematisches Forschungsinstitut Oberwolfach(ドイツ)
- Year and Date
  2009-08-19
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation2009
- Author(s)
  坂井哲
- Organizer
  Scaling Limits in Models of Statistical Mechanics
- Place of Presentation
  MFO(Oberwolfach, ドイツ)
- Year and Date
  2009-08-19
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for long-range statistical-mechanical models in high dimensions2009
- Author(s)
  Akira Sakai
- Organizer
  Above the Critical Dimension
- Place of Presentation
  The Institut Henri Poincare(フランス)
- Year and Date
  2009-12-09
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation2009
- Author(s)
  坂井哲
- Organizer
  繰り込み群の数理科学での応用
- Place of Presentation
  京都大学(京都市)
- Year and Date
  2009-09-10
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior in Z^d of the critical two-point functions for long-range statistical-mechanical models in high dimensions2009
- Author(s)
  坂井哲
- Organizer
  Above the Critical Dimension
- Place of Presentation
  IHP(Paris, フランス)
- Year and Date
  2009-12-09
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Asymptotic behavior of the gyration radius for long-range selfavoiding walk and long-range oriented percolation2009
- Author(s)
  坂井哲
- Organizer
  第8回大規模相互作用系の確率解析
- Place of Presentation
  東京大学
- Year and Date
  2009-10-08
- Data Source
  KAKENHI-PROJECT-21740059
[Presentation] Critical correlation in high dimensions for long-range models with power-law couplings
- Author(s)
  Akira Sakai
- Organizer
  Spin Glasses, Random Graphs and Percolation
- Place of Presentation
  Institut Henri Poincare (フランス)
- Year and Date
  2015-02-16 – 2015-02-20
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Critical correlation in high dimensions for long-range models with power-law couplings
- Author(s)
  坂井　哲
- Organizer
  新潟確率論ワークショップ
- Place of Presentation
  新潟大学（新潟市）
- Year and Date
  2015-01-22 – 2015-01-23
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] Critical two-point function for the lattice φ^4 model in dimensions d>4
- Author(s)
  坂井　哲
- Organizer
  札幌数理物理研究集会
- Place of Presentation
  北海道大学 (札幌市)
- Year and Date
  2014-09-01 – 2014-09-02
- Invited
- Data Source
  KAKENHI-PROJECT-24540106
[Presentation] General idea and recent results on the lace expansion
- Author(s)
  Akira Sakai
- Organizer
  The International Mathematical Meeting and the Annual Meeting of the TMS
- Place of Presentation
  National Cheng Kung University (台湾)
- Year and Date
  2014-12-06 – 2014-12-07
- Invited
- Data Source
  KAKENHI-PROJECT-24540106

1. 宮尾忠宏 (20554421)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 桂法称 (80534594)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 松澤泰道 (60645620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 松井卓 (50199733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 千葉由佳子

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Sakai Akira 坂井 哲

SAKAI Akira 坂井 哲

Research Projects

Research Products

Co-Researchers

A comprehensive study on the mathematical aspects of metallic ferromagnetism

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Lace-expansion approach towards phase transitions, critical phenomena and constructive field theoryPrincipal Investigator

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Rigorous analysis for high-dimensional critical behavior and crossover phenomena in mathematical modelsPrincipal Investigator

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On yet-open questions about Ising ferromagnetsPrincipal Investigator

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Analysis of critical behavior for spin systems using stochastic-geometrical representationsPrincipal Investigator

Principal Investigator

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Advancement of the lace expansion and its applicationsPrincipal Investigator

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[Journal Article] Hugo Duminil-Copin氏の業績2024

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[Journal Article] Mathematical Aspects of the Digital Annealer’s Simulated Annealing Algorithm2023

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[Journal Article] Spread-out limit of the critical points for lattice trees and lattice animals in dimensions2023

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[Journal Article] Mixing Time and Simulated Annealing for the Stochastic Cellular Automata2023

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[Journal Article] Stability of the phase transition and critical behavior of the Ising model against quantum perturbation2023

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[Journal Article] パーコレーションの数理20202022

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[Journal Article] Correct bounds on the Ising lace-expansion coefficients2022

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[Journal Article] パーコレーションの数理 20202022

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[Journal Article] Crossover phenomena in the critical behavior for long-range models with power-law couplings2020

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Sakai Akira 坂井哲

SAKAI Akira 坂井哲