無限粒子系の確率解析学【基盤研究(S)課題番号16H06338】(長田博文/九州大学大学院数理学研究院)

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研究成果

2016年から現在までの論文リストを掲載します。

受賞/ICM招待講演

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出版予定

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2021年度

  • 熊谷隆
    Anomalous behavior of random walks on disordered media
    https://link.springer.com/chapter/10.1007%2F978-981-16-4457-3_5
  • 長田博文
    Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions
    to appear in Sugaku Expositions, 141-173 https://www.ams.org/journals/suga/2021-34-02/S0898-9583-2021-00461-6/
  • 河本陽介, 長田博文, 種村秀紀
    Infinite-dimensional stochastic differential equations and tail σ-fields II: the IFC condition PDF file
  • 香取眞理, 越田真史
    Three phases of multiple SLE driven by non-colliding Dyson’s Brownian motions
    to appear in Journal of Physics A:Mathematical and Theoretical(2021) https://iopscience.iop.org/article/10.1088/1751-8121/ac0dee
  • 香取眞理, 白井朋之
    Partial Isometry, Duality, and Determinantal Point Processes
    to appear in Random Matrices:Theory and Application(2021) https://www.worldscientific.com/doi/abs/10.1142/S2010326322500253
  • X. Chen, Z.-Q. Chen, 熊谷隆 and J. Wang
    Homogenization of symmetric jump processes in random media.
    to appear in Revue Roumaine De Mathematiques Pures et Appliquees 66 (2021), no. 1, 83--105 https://arxiv.org/abs/2003.08581
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    2020年度

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    2019年度

    • Borodin, Alexei; Corwin, Ivan; Petrov, Leonid, 笹本智弘
      Correction to: Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz.
      Comm. Math. Phys. 370 (2019), no. 3, 1069–1072.
    • Hiroki Moriya*, Rikuo Nagao, 笹本智弘
      Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition
      Journal of Statistical Mechanics: Theory and Experiment, 2019, no. 6, 063105, 37pp.
      http://arxiv.org/abs/1901.07228
    • Chen, Zhen-Qing; Kim, Panki; 熊谷隆; Wang, Jian;
      Time fractional Poisson equations: Representations and estimates.
      J. Funct. Anal. 278 (2020), no. 2, 108311. https://doi.org/10.1016/j.jfa.2019.108311
    • D.A. Croydon, B.M. Hambly, 熊谷隆
      Heat kernel estimates for FIN processes associated with resistance forms
      Stochastic Process. Appl. 129 (2019), no. 9, 2991–3017. https://doi.org/10.1016/j.spa.2018.08.011
    • Guan-Yu Chen, 熊谷隆
      Products of random walks on finite groups with moderate growth
      Tohoku Math. J. (2) 71 (2019), no. 2, 281–302. https://projecteuclid.org/euclid.tmj/1561082599
    • 角田謙吉, 舟木直久
      Motion by mean curvature from Glauber-Kawasaki dynamics.
      J. Stat. Phys. 177 (2019), no. 2, 183–208. 60K35 (74A50 82C22) https://doi.org/10.1007/s10955-019-02364-7
    • De Masi, A.; 舟木直久; Presutti, E.; Vares, M. E.
      Fast-reaction limit for Glauber-Kawasaki dynamics with two components
      ALEA Lat. Am. J. Probab. Math. Stat. 16 (2019), no. 2, 957–976.
    • 舟木直久
      Invariant measures in coupled KPZ equations
      Stochastic dynamics out of equilibrium, 560–568, Springer Proc. Math. Stat., 282, Springer, Cham, 2019. https://doi.org/10.1007/978-3-030-15096-9_20
    • 河本陽介, 長田博文
      Dynamical Bulk Scaling limit of Gaussian Unitary Ensembles and Stochastic-Differential-Equation gaps, Journal of Theoretical Probability, 32(2), 2019, 907--933.
      https://doi.org/10.1007/s10959-018-0816-2
    • 長田博文
      無限粒子系の確率解析学: --古典的確率解析の新展開とランダム行列の力学的普遍性--
      数学(岩波書店)70(2) 2019年4月 春季号 113--137 PDF File
    • 舟木直久
      長田博文氏の業績--長距離相互作用を持つ無限粒子系の確率解析--
      数学(岩波書店) 70(2) 2019年4月 春季号 202--
    • Zhen-Qing Chen, 熊谷隆, Jian Wang
      Elliptic Harnack inequalities for symmetric non-local Dirichlet forms
      J. Math. Pures Appl. (9) 125 (2019), 1–42. https://doi.org/10.1016/j.matpur.2017.10.011
    • Alexander I Bufetov, Andrey V Dymov, 長田博文
      The logarithmic derivative for point processes with equivalent Palm measures
      J. Math. Soc. Japan, 71(2), 2019, 451--469. https://doi.org/10.2969/jmsj/78397839
    • 今村卓史, 笹本智弘
      On the q-TASEP with a random initial condition. (Russian)
      Theoret. Mat. Fiz. 198 (2019), no. 1, 79--100; transition in Theoret. Math. Phys., 198 (2019), 69--88. https://doi.org/10.4213/tmf9554
    • 今村卓史, 笹本智弘
      Fluctuations for stationary q-TASEP
      Probab. Theory Relat. Fields 174 (2019), no. 1--2, 647--730. https://10.1007/s00440-018-0868-3
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    2018年度

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    2017年度

    • 熊谷隆, C. Nakamura
      Lamplighter random walks on fractals
      J. Theoret. Probab. 31(1), Mar. 2018. https://doi.org/10.1007/s10959-016-0718-0
    • 長田博文, 長田翔太
      Discrete approximations of determinantal point processes on continuous spaces: tree representations and tail triviality, Journal of Statistical Physics, 170(2), 421--435.
      Jan. 2018, https://doi.org/10.1007/s10955-017-1928-2
    • 熊谷隆
      複雑な系の上の異常拡散現象の解析
      数学(70巻1号 2018年1月 81--100), 岩波書店.
    • P. Kim, 熊谷隆, J. Wang
      Laws of the iterated logarithm for symmetric jump processes
      Bernoulli 23 (Nov. 2017), no. 4A, 2330--2379.
    • D. A. Croydon, B. M. Hambly, 熊谷隆
      Time-changes of stochastic processes associated with resistance forms
      Electron. J. Probab. 22(82), Oct. 2017, 1--41.
      https://doi.org/10.1214/17-EJP99
    • 香取眞理
      Elliptic Determinantal Processes and Elliptic Dyson Models
      SIGMA 13 (Oct. 2017) 079, 36 pages https://www.emis.de/journals/SIGMA/2017/079/
      https://doi.org/10.3842/SIGMA.2017.079
    • Rahul Roy, 種村秀紀
      Percolation Clusters as Generators for Orientation Ordering
      J. Stat. Phys. 168(6), Sep. 2017, 1259--1275.
      https://doi.org/10.1007/s10955-017-1856-1
    • J.Y. Wakano, 舟木直久, 横山聡
      Derivation of replicator-mutator equations from a model in population genetics
      Japan J. Ind. Appl. Math., 34(2), Aug. 2017, 473--488.
      https://doi.org/10.1007/s13160-017-0249-9
    • 舟木直久, 星野壮登
      A coupled KPZ equation, its two types of approximations and existence of global solutions
      J. Funct. Anal., 273(3), Aug. 2017, 1165--1204.
      https://doi.org/10.1016/j.jfa.2017.05.002
    • 長田博文
      無限粒子系の確率幾何と力学:--ランダム行列と無限次元干渉ブラウン運動--
      数学(69巻3号 2017年7月 夏季号 225--254), 岩波書店
    • 今村卓史, 笹本智弘
      Free energy distribution of the stationary O'Connell-Yor directed random polymer model
      J. Phys. A, 50(28), June 2017, 285203, 35 pp.
      https://doi.org/10.1088/1751-8121/aa6e17
    • Naoto Miyoshi, 白井朋之
      Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models
      Probability and Mathematical Statistics Vol. 37, Fasc. 2 (2017), pp. 431–453. https://doi.org/10.19195/0208-4147.37.2.12
    • Yasuaki Hiraoka, 白井朋之
      Minimum spanning acycle and lifetime of persistent homology in the Linial–Meshulam process
      Random Structures and Algorithms 51 (2017), 315--340. https://onlinelibrary.wiley.com/doi/abs/10.1002/rsa.20718
    • 今村卓史, K. Mallick, 笹本智弘
      Large deviations of a tracer in the symmetric exclusion process
      Phys. Rev. Lett. 118, 160601 (Apr. 2017) https://doi.org/10.1103/PhysRevLett.118.160601
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    2016年度

    • M.T. Barlow, D.A. Croydon, 熊谷隆
      Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree, Ann. Probab. 45, (Jan. 2017), no. 1, 4--55.
      https://doi.org/10.1214/15-AOP1030
    • Alexander I. Bufetov, 白井朋之
      Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces
      Proceedings of the Japan Academy, Ser. A Math. Sci. 93 (Jan. 2017), no.1, 1--5.
      https://doi.org/10.3792/pjaa.93.1
    • 白井朋之, Evgeny Verbitskiy
      Solvable and algebraic systems on infinite ladder
      Indag. Math. (N.S.) 27 (2016), no. 5, 1162–1183. https://doi.org/10.1016/j.indag.2016.02.003
    • Naoto Miyoshi, 白井朋之
      Spatial modeling and analysis of cellular networks using the Ginibre point process: A tutorial
      IEICE Transactions on Communications volume E99-B, issue 11, pp. 2247-2255, Nov. 2016. https://doi.org/10.1587/transcom.2016NEI0001
    • 香取眞理
      Elliptic Bessel processes and elliptic Dyson models realized as temporally inhomogeneous processes, J. Math. Phys. 57 (10) (Oct. 2016) 103302/1--32.
      https://doi.org/10.1063/1.4964253
    • 河本陽介
      Density preservation of unlabeled diffusion in systems with infinitely many particles
      数理解析研究所 講究録別冊 B59 (2016), 337--350.
      http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html
    • 江崎翔太
      Dirichlet form approach to interacting particle systems with long range interactions on Zd, 数理解析研究所 講究録別冊 B59 (2016), 321--335.
    • Yasuaki Hiraoka, 白井朋之
      Tutte polynomials and random-cluster models in Bernoulli cell complexes
      数理解析研究所 講究録別冊 B59 (2016), 289--304.
    • 長田博文
      Self-diffusion constants of non-colliding interacting Brownian motions in one spatial dimension, 数理解析研究所 講究録別冊 B59 (2016), 253–272.
    • 長田博文, 種村秀紀
      Stochastic differential equations related to random matrix theory
      数理解析研究所 講究録別冊 B59 (2016), 203--214.
    • Sergio Andraus, 香取眞理
      Characterizations of the hydrodynamic limit of the Dyson model
      数理解析研究所 講究録別冊 B59 (2016), 157--174.
    • 熊谷隆, C. Nakamura
      Laws of the iterated logarithm for random walks on Random Conductance Models
      数理解析研究所 講究録別冊 B59 (2016), 141--156.
    • 徐路
      Central limit theorem for finite and infinite dimensional diffusions in ergodic environments
      数理解析研究所 講究録別冊 B59 (2016), 57--68.
    • R. Huang, 熊谷隆
      Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances
      Electron. Commun. Probab. Feb. 2016, Vol. 21, paper no. 5, 1-11.
      https://doi.org/10.1214/15-ECP4347
    • 長田博文, 白井朋之
      Absolute continuity and singularity of Palm measures of the Ginibre point process
      Probab. Theory Related Fields 165 (2016), no. 3-4, 725–770.
      https://doi.org/10.1007/s00440-015-0644-6
    • 今村卓史, 笹本智弘
      Determinantal Structures in the O’Connell-Yor Directed Random Polymer Model
      J. Stat. Phys. 163 (2016), no. 4, 675–713.
      https://doi.org/10.1007/s10955-016-1492-1
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