Fukushima Ryoki

Affiliation

Faculty of Pure and Applied Sciences

Official title

Associate Professor

ORCID

0000-0002-7582-6793

URL

http://www.math.tsukuba.ac.jp/~ryoki/

Research fields

Basic analysis

Research keywords

Limit theorem
Analysis
Homogenization
Percolation
Large deviation
Random media
Disordered media
Stochastic process
Probability theory
Mathematics

Research projects

ランダム媒質中の確率過程の定量的研究	2021-04 -- 2024-03		日本学術振興会/基盤研究(C)	2,340,000Yen
Stochastic analysis and applications	2012-01 -- 2014-01	竹田雅好	日本学術振興会/二国間交流事業（日独）	400,000Yen
ランダム媒質における均質化と揺らぎの研究 （平成29年度分）	2017-01 -- 2018-01		Japan Society of for the Promotion of Science/基盤研究(C)	1,430,000Yen
ランダム媒質における均質化と揺らぎの研究 （平成28年度分）	2016-01 -- 2017-01		Japan Society of for the Promotion of Science/基盤研究(C)	1,300,000Yen
ランダム媒質中の確率過程 （平成27年度分）	2015-01 -- 2016-01		Japan Society of for the Promotion of Science/若手研究（Ｂ）	780,000Yen
ランダム媒質中の確率過程	2012-01 -- 2016-01		Japan Society of for the Promotion of Science/若手研究(B)	3,120,000Yen
ランダム媒質中の確率過程 （平成26年度分）	2014-01 -- 2015-01		Japan Society of for the Promotion of Science/若手研究（Ｂ）	780,000Yen
ランダム媒質中の確率過程	2012-01 -- 2015-01		Japan Society of for the Promotion of Science/若手研究（Ｂ）	780,000Yen
ランダム媒質中における局在現象の研究	2010-01 -- 2011-01		Japan Society of for the Promotion of Science/研究活動スタート支援	2,509,000Yen
ランダムポテンシャル中のブラウン運動の研究	2009-01 -- 2009-01		Japan Society of for the Promotion of Science/若手研究(B)	1,820,000Yen
more...

Degree

2008-07	博士（理学）	京都大学
2007-03	修士（理学）	京都大学

Licenses and qualifications

2020-11	普通自動車免許

Academic societies

2008-04 -- (current)	The Mathematical Society of Japan

Honors & Awards

2016-01	Young Scientists' Prize for Science and Technology by MEXT
2009-01	Inoue Research Award for Young Scientists
2009-01	Takebe Prizes

Articles

• Number of paths in oriented percolation as zero temperature limit of directed polymer
  福島 竜輝; Junk Stefan
  Probability Theory and Related Fields, 2022-05
• Note on the maximal jump size in a continuum model of directed first passage percolation
  福島 竜輝
  Advanced Studies in Pure Mathematics/87/pp.213-226, 2022-01
• Number of paths in oriented percolation as zero temperature limit of directed polymer
  福島 竜輝; Stefan Junk
  arXiv:2103.13687, 2021-03
• Anomalous scaling regime for one-dimensional Mott variable-range hopping
  David Croydon; 福島 竜輝; Stefan Junk
  arXiv:2010.01779, 2020-10
• Non-Markov property of certain eigenvalue processes analogous to Dyson's model
  Ryoki Fukushima; Atsushi Tanida; Kouji Yano
  Probabilistic approach to geometry/57/p.119, 2010-01
• On large deviation rate functions for a continuous-time directed polymer in weak disorder
  福島 竜輝; Junk Stefan
  Electron. Commun. Probab./26/pp.1-10, 2021-03
• Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles
  福島 竜輝
  Ann. Probab./49/pp.206-243, 2021-01
• Quenched tail estimate for the random walk in random scenery and in random layered conductance II
  Deuschel Jean-Dominique; Fukushima Ryoki
  ELECTRONIC JOURNAL OF PROBABILITY/25(75), 2020-06
• New high-dimensional examples of ballistic random walks in random environment
  Ryoki Fukushima Alejandro Ramirez
  RIMS Kokyuroku Bessatsu, B79: Stochastic Analysis on Large Scale Interacting Systems/pp.109-122, 2020-04
• Zero temperature limit for the Brownian directed polymer among Poissonian disasters
  Ryoki Fukushima Stefan Junk
  The Annals of Applied Probability/29/pp.3821-3860, 2019-12
• Biased Random Walk Conditioned on Survival Among Bernoulli Obstacles: Subcritical Phase
  Jian Ding Ryoki Fukushima Rongfeng Sun Changji Xu
  Communications in Mathematical Physics/376/pp.2161-2195, 2020-06
• Geometry of the random walk range conditioned on survival among Bernoulli obstacles
  Jian Ding Ryoki Fukushima Rongfeng Sun Changji Xu
  Probability Theory and Related Fields/177/pp.91-145, 2020-06
• Quenched tail estimate for the random walk in random scenery and in random layered conductance
  Jean-DominiqueDeuschel Ryoki Fukushima
  Stochastic Process. Appl./129(1)/pp.102-128, 2019-01
• Slowdown estimates for one-dimensional random walks in random environment with holding times
  Amir Dembo; Ryoki Fukushima; Naoki Kubota
  Electron. Commun. Probab./23(89)/pp.1-12, 2018-11
• Eigenvlaue fluctuations for lattice Anderson Hamiltonians: unbounded potentials
  Marek Biskup Ryoki Fukushima Wolfgang Koenig
  Interdiscip. Inform. Sci./24(1)/pp.59-76, 2018-06
• Eigenvalue fluctuations for lattice Anderson Hamiltonians
  Marek Biskup Ryoki Fukushima Wolfgang Koenig
  SIAM J. Math. Anal./48(4)/pp.2674-2700, 2016-01
• Limiting results for the free energy of directed polymers in random environment with unbounded jumps
  Francis Comets Ryoki Fukushima Shuta Nakajima Nobuo Yo...
  J. Stat. Phys./161(3)/pp.577-597, 2015-01
• Quenched large deviations for multidimensional random walk in random environment with holding times
  Ryoki Fukushima Naoki Kubota
  J. Theoret. Probab./27(4)/pp.1140-1166, 2014-01
• Annealed Brownian motion in a heavy tailed Poissonian potential
  Ryoki Fukushima
  Ann. Probab./41(5)/pp.3462-3493, 2013-01
• On exponential growth for a certain class of linear systems
  Ryoki Fukushima Nobuo Yoshida
  ALEA Lat. Am. J. Probab. Math. Stat./9(2)/pp.323-336, 2012-01
• Second order asymptotics for Brownian motion in a heavy tailed Poissonian potential
  Ryoki Fukushima
  Markov Process. Related Fields/17(3)/pp.447-482, 2011-10
• Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
  Ryoki Fukushima Naomasa Ueki
  J. Funct. Anal./260(3)/pp.724-744, 2011-02
• Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice
  Ryoki Fukushima Naomasa Ueki
  Ann. Henri Poincaré/11(6)/pp.1053-1083, 2010-11
• From the Lifshitz tail to the quenched survival asymptotics in the trapping problem
  Ryoki Fukushima
  Electron. Commun. Probab./14/pp.435-446, 2009-10
• Brownian survival and Lifshitz tail in perturbed lattice disorder
  Ryoki Fukushima
  J. Funct. Anal./256(9)/pp.2867-2893, 2009-05
• more...

Books

• 「確率論とポテンシャル」
  福島 竜輝
  月刊誌「数理科学」/サイエンス社, 2022-03
• 第Ⅱ部第11.2節
  福島 竜輝
  確率論ハンドブック/丸善出版, 2012-07
• 「ランダム作用素」
  福島 竜輝
  月刊誌「数理科学」/サイエンス社, 2016-06

Conference, etc.

• Zero temperature limits of directed polymers in random environment
  Fukushima Ryoki
  Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2022/2022-01-11--2022-01-14
• Zero temperature limits of directed polymers in random environment
  福島 竜輝
  Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2022/2022-01-11--2022-01-14
• Biased random walk conditioned on survival among Bernoulli obstacles
  福島 竜輝
  Stochastic Analysis on Large Scale Interacting Systems/2021-12-07--2021-12-09
• Number of paths in oriented percolation as zero temperature limit of directed polymer
  福島 竜輝
  The 10th International Conference on Stochastic Analysis and its Applications/2021-09-06--2021-09-10
• Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase
  福島 竜輝
  日本数学会年会/2021-03-15
• Geometry of the random walk range conditioned on survival among Bernoulli obstacles
  福島 竜輝
  日本数学会年会/2021-03-15
• Quenched tail estimate for the random walk in random scenery II
  福島 竜輝
  日本数学会年会/2021-03-15
• Frenkel欠陥を持つ結晶中でのBrown運動の生存確率
  福島竜輝
  確率論と統計物理 / 京都大学/2008-03-01
• Frenkel欠陥を表すポテンシャルに対するFeynman-Kac汎関数の漸近挙動
  福島竜輝
  大規模相互作用系の確率解析 / 東京大学/2008-11-01
• Parabolic Anderson problems with randomly located potentials
  福島竜輝
  数理物理学若手セミナー/2009-02-01
• ランダムポテンシャル中の拡散過程
  福島竜輝
  2009年度秋季総合分科会（統計数学分科会特別講演） / 大阪大学/2009-09-01
• On exponential growth for a certain class of linear systems
  福島竜輝
  ランダム作用素のスペクトルと関連する話題/2010-12-09
• Second order asymptotics for the Pastur tail
  福島竜輝
  ランダム作用素のスペクトルと関連する話題/2010-12-09
• 大偏差原理の基本の“き”
  福島竜輝
  城崎新人セミナー / 城崎市民センター/2011-02-01
• Anderson模型に関連する話題
  福島竜輝
  確率論シンポジウム/2012-12-01
• On Poisson Anderson model with polynomially decaying single site potential
  福島竜輝
  スペクトル・散乱理論とその周辺/2012-12-01
• ランダムウォークの局所時間の同時分布とLaplace原理への応用
  福島竜輝
  確率論早春セミナー/2014-03-07
• ランダム媒質における路の数え上げと最短経路に関する話題
  福島竜輝
  IMI-RIMS 共共拠点研究集会/2016-12-01
• Asymptotics for the Wiener Sausage among Poissonian Obstacles
  福島竜輝
  Probability Theory and Related Topics/2006-11-01
• Brownian survival among perturbed lattice traps
  福島竜輝
  6th Workshop on Stochastic Analysis on Large Scale Interacting Systems/2007-10-01
• Brownian survival and Lifshitz tail in perturbed lattice disorder
  福島竜輝
  Random Processes and Systems/2009-02-01
• Brownian survival and Lifshitz tail in a perturbed lattice disorder
  福島竜輝
  "Walkshop" 2009/2009-09-01
• Second order asymptotics for Brownian motion among heavy tailed Poissonian potentials
  福島竜輝
  The 1st Crest-SBM International Conference ``Random Media'' / Tohoku University/2010-01-01
• On exponential growth for a certain class of linear systems
  福島竜輝
  Universality and Scaling Limits in Probability and Statistical Mechanics/2010-09-01
• Localization for Brownian motion in a heavy tailed Poissonian potential
  福島竜輝
  10th Workshop on Stochastic Analysis on Large Scale Interacting Systems/2011-12-01
• more...

Teaching

2022-10 -- 2023-02	Research in Analysis IVA	University of Tsukuba.
2022-04 -- 2022-08	Research in Analysis VB	University of Tsukuba.
2022-04 -- 2022-08	Research in Analysis IVB	University of Tsukuba.
2022-10 -- 2023-02	Research in Analysis VB	University of Tsukuba.
2022-04 -- 2022-08	Seminar on Mathematics	University of Tsukuba.
2022-10 -- 2023-02	Seminar on Mathematics	University of Tsukuba.
2022-04 -- 2022-08	Research in Analysis IIB	University of Tsukuba.
2022-10 -- 2023-02	Research in Analysis IA	University of Tsukuba.
2022-04 -- 2022-08	Research in Analysis IB	University of Tsukuba.
2022-04 -- 2022-08	Research in Analysis IIIB	University of Tsukuba.
more...

Professional activities

2020-01 -- 2023-12	Bernoulli Society for Mathematical Statistics and Probability	East Asian and Pacific Regional Committee
2020-01 -- 2023-12	Bernoulli Society for Mathematical Statistics and Probability	Committee for Conferences on Stochastic Processes
2020-03 -- 2022-02	The Mathematical Society of Japan	統計数学分科会運営委員

University Management

2020-04 -- 2021-03	障害学生支援に係るダイバーシティ・アクセシビリティ担当教員

(Last updated: 2022-08-18)