(with F. Comets, R. Fukushima, S. Nakajima)
Limiting Results for the Free Energy of
Directed Polymers in Random Environment with Unbounded Jumps
J. Stat. Phys. Volume 161, Issue 3, (2015), pp 577-597
DOI:10.1007/s10955-015-1347-1 pdf.
(with F. Comets)
Localization Transition for Polymers in Poissonian Medium.
Commun. Math. Phys.
Vol 323, Issue 1 (2013) 417--447,
DOI:10.1007/s00220-013-1744-8
pdf
Stochastic Shear Thickening Fluids: Strong Convergence of the
Galerkin Approximation and the Energy Equality.
Ann. Appl. Probab.,
2012, Vol. 22, No.3, 1215--1242.
DOI:10.1214/11-AAP794
pdf
(with Y. Terasawa)
Stochastic Power Law Fluids: Existence and Uniqueness of Weak Solutions.
Ann. Appl. Probab.,
Vol. 21, No 5 (2011), 1827--1859.
DOI:10.1214/10-AAP741
pdf
(with H. Heil, M. Nakashima)
Branching Random Walks in Random Environment are
Diffusive in the Regular Growth Phase,
Electron. J. Probab. ,
Volume 16, (2011), 323--336.
DOI: 10.1214/EJP.v16-922
pdf
(with Y. Nagahata)
A Note on the Diffusive Scaling Limit for a Class of Linear Systems,
Electron. Commun. Probab. 15 (2010), 68--78.
DOI: 10.1214/ECP.v15-1530
pdf
(with Y. Nagahata)
Localization for a Class of Linear Systems,
Electron. J. Probab.
Vol. 15, No. 20, (2010), 636--653.
DOI: 10.1214/EJP.v15-757
pdf
(with F. Comets)
Branching Random Walks in Time-Space Random Environment:
Survival Probability, Global and Local Growth Rates,
J. Theoret. Probab.
DOI:Volume 24, Number 3, 657-687
10.1007/s10959-009-0267-x
pdf
Localization for Linear Stochastic Evolutions,
J. Stat. Phys. 138 , No.4/5, 598--618, (2010).
DOI:10.1007/s10955-009-9876-0
pdf
(with corrections to some small, harmless errors)
(with Higuchi,Y.)Analytic conditions and phase transition for Ising
models, (in Japanese) In: Seminar on Probability
Vol. 58, 1--46, (1995). dvi
Selected Talks
"Survival rate for a random walks in disatrous environment''
(
Niigata Probability Workshop ,
January 21, 2016, Niigata University)
"Survival rate for a certain class of random walks in random obstacles''
(The 13th Workshop pn Stochaastic Analysis on Large Scale
Interacting Systems, November 5, 2014, University of Tokyo)
Brownian Directed Polymers in Random Environment:
Complete Localization and Phase Diagram.
(
``Workshop on Random Polymers'', January 18, 2013, EURANDOM, Eindhoven).
Brownian Directed Polymers in Random Environment:
Complete Localization and Phase Diagram.
(
``Random media II'', September 5, 2012,
WPI-AIMR, Main building, Tohoku University).
Introduction to Stochastic Navier-Stokes equations I,II.
「偏微分方程式の背後にある確率課程と解の族が示す
統計力学的な現象の解析」December 19, 2011 at RIMS, Kyoto University.
Stochastic Power Law Fluids,
(
PDE実解析研究会, April 20, 2011, at Univ. of Tokyo).
Stochastic Power Law Fluids,
( Seminaire de Probabilite,
March 22, 2011, at Uviversite Paris Diderot --Paris 7).
Stochastic Shear Thickening Fluids: Strong Convergence of the
Garelkin Approximation and the Energy Equality.
(CREST Seminar, February 4, 2011, Tohoku University)
notes.
Stochastic Shear Thickening Fluids: Strong Convergence of the
Garelkin Approximation and the Energy Equality.
(Probability Seminar, June 7, 2010, Tokyo Institutue of Technology)
Stochastic Power Law Fluids: the Existence and the Uniqueness
of the Weak Solution.
(International Workshop on Mathematical Fluid Dynamics, March 13, 2010
at Waseda Univ.)
slides.
Power Law Fluids with Random Forcing.
(
大規模相互作用系の確率解析, October 9, 2009 at University of Tokyo).
Branching Random Walks in Random Environment:
Survival Probability and Growth Rates,
(
Topics on Random Media, September 15, 2009 at Kyoto University).
slides.
Continuous-Time Linear Systems.
(
統計力学の数学的理論. August 25, 2009 at
Osaka Electro-Communication University.)
notes available.
Linear Stochastic Evolutions, : Diffusive
Behavior and Localization.
( Workshop on Interacting Particle Systems
in honour of Professor T. Liggett's 65 th Birthday.
June 19, 2009, at Peking University.)
Branching Random Walks in Random Environment: Diffusive
Behavior and Localization.
(January 14, 2008, at Pontifica Universidad Catolica de Chile,
"Workshop on Random Walks, Particle Systems and Random Media").
Branching Random Walks in Random Environment: Diffusive
Behavior and Localization.
(2007 年 12月12日 熊本大学、 「確率論シンポジウム」).
From Parabolic Anderson Models to
Branching Random Walks in Random Environment.
(2007 年 12月4日 京都大学 "Stochastic Problems and Nonlinear PDEs").
Branching Random Walks in Random Environment: Diffusive
Behavior and Localization.
(October 26, 2007, at Nishijin Plaza, Kyusyu University,
"Stochastic analysis of large interacting systems").
Central limit theorem for branching random walks in random environment
(May 22, 2007, at Oberwolfach "Non-classical interacting random walks").
Branching random walk representation of directed polymers
in random environment (2007 年 1月29日 東京工業大学、
「統計物理に関連する数学的話題」).
Directed polymers in random environment
(June 16, 2006, at Universite Nantes "EMS Mathematical Week-End").
Directed polymers in random environment are diffusive at all
subcritical tenperature.
(September 30, 2005 at RIMS Kyoto "Some Recent Topics on Stochastic Models").
Diffusivity of
directed polymers in random environment.
(January 31, 2005 at Osaka University Nakanoshima Center
"The Fifth East Asia PDE Conference".)
Large time behavior of directed polymers in random environment.
(June 27, 2005 at Univ. of California, Santa Barbara,
"30 th Stochastic Process and their Applications").
Directed polymers in random environment are diffusive at all
subcritical tenperature.
(2004 年 12 月 8 日、名古屋大学、「確率論シンポジウム」)
Brownian directed polymers in random environment,
(August 31, 2004, at Oberwolfach "Large Scale Stochastic Dynamics").
Localization transition for friendly walkers,
(August 20, 2003 at Issac Newton Institute, Cambridge,
"Random Walks in Random Environment")
Preview
Directed polymers in random environment,
(July 24, 2002 at Shonan Village, "Stochastic Analysis on Large
Scale Interacting Systems")
dvi
Log Sobolev inequalities for unbounded lattice spin systems
(Notes for a seminar talk on May 21, 1999
at \'Ecole Polytechnique F\'ed\'erale de Lausanne)
dvi
The strong ergodicity for the stochastic dynamics of unbounded
lattice spin systems
(A note for a seminar talk on September 11, 1998 at Kyushu Univ..)
dvi
Log Sobolev inequalities for unbounded lattice spin systems
(Notes for a seminar talk on Jun 4, 1998
at Institute Henri Poicare, Paris.)
dvi
A note on extremal invariant measures for a Markov process
(A note for a seminar talk on May 13, 1998 at Kyoto Univ.)
dvi
A central limit theorem for the directed polymer (in Japanese)
(A note for a seminar talk on February 6, 1998 at Kyoto Univ.)
dvi
Relaxation of kinetic Ising models near the phase transition line
(in Japanese)
(A note for a talk on Novyemver 17, 1997 at Jyokou-ji meeting.)
dvi
On the convergence of finite volume stochastic Ising models,
(in Japanese), Notes for a
lecture delivered on April 1, 1997 at the annual meeting of
Mathematical Scociety of Japan.
dvi