(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 Y. Nagahata)
Central Limit Theorem for a Class of Linear Systems,
Electron. J. Probab. Vol. 14, No. 34, 960--977. (2009).
pdf
(with Y. Hu)
Localization for Branching Random Walks in Random Environment, Stoch. Proc. Appl. ,
Vol. 119, Issue 5, 1632--1651, (2009).
pdf
Phase Transitions for the Growth Rate of Linear Stochastic Evolutions,
preprint, 2008,
J. Stat. Phys. , 133 , No.6, 1033--1058, (2008).
pdf
Central Limit Theorem for
Branching Random Walk in Random Environment, Ann. Appl. Probab.,
Vol. 18, No. 4, 1619--1635, 2008.
pdf
(with F. Comets)
Directed Polymers in
Random Environment are Diffusive at Weak Disorder, Ann. Probab.
Vol. 34, No. 5, 1746--1770, 2006.
ps.gz /
pdf/
(with F. Comets)
Brownian directed polymers in random environment,
Commun. Math. Phys. 54 , 257--287, no. 2. (2005).
ps.gz/
pdf
(with F. Comets)
Some new results on Brownian directed polymers in random environment,
RIMS Kokyuroku 1386 , 50--66, (2004).
ps.gz /
pdf/
(with F. Comets and T. Shiga)
Directed polymers in random environment:
path localization and strong disorder,
Bernoulli , 9 (3), 705--723, (2003).
Preview the abstract. /
dvi / ps.gz
/pdf
(with Y. Isozaki) Weakly pinned random walk on the wall: pathwise
descriptions of the phase transition,
Stoch. Proc. Appl. 96, 261 --284,(2001).
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(with K. S. Alexander) The spectral gap of 2-D stochastic
Ising models with mixed boundary conditions,
J. Stat. Phys. 104,, Nos. 1/2, 89--109, (2001).
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Application of log-Sobolev inequality to
the stochastic dynamics of unbounded spin systems
on the lattice,
J. Funct. Anal. 173 , 74--102, (2000).
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Finite volume Glauber dynamics in a small magnetic field,
J. Stat. Phys. 90 , Nos.3/4, (1998).
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Exponential relaxation of finite volume Glauber dynamics near the border
of the one phase region,
in
Trends in Probability and Related Analysis, the proceedings
of SAP'96, ed. by N. Kono and N.-R. Shieh, World Scientific,
339--350, (1997).
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Relaxed criteria of the Dobrushin-Shlosman mixing condition,
J. Stat. Phys. 87, Nos.1/2, 293--309, (1997).
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(with Schonmann, R.)
Exponential relaxation of Glauber dynamics with some special
boundary conditions,
Commun. Math. Phys. 189, 299--310, (1997).
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(with Higuchi, Y.) Slow relaxation of 2-D stochastic Ising models with
random and non-random boundary conditions,
In: New trends in stochastic analysis,
ed. by K. D. Elworthy, S. Kusuoka, I. Shigekawa,
World Scientific Publishing, 153--167, (1997).
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(with Higuchi,Y.)Ising model on the lattice Sierpinski Gasket,
J. Stat. Phys. , 84, Nos. 1/2 pp. 295--307, (1996).
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The Littlewood-Paley-Stein inequality on an infinite dimensional
manifold,
J. Funct. Anal. . 122, 402--427, (1994).
A large deviation principle for (r,p)-capacities
on the Wiener space,
Probab. Th. Rel. Fields , 94, 473--488, (1993).
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(with Shigekawa, I.) Littlewood-Paley-Stein inequality for symmetric
diffusions,
J. math. Soc. Japan, 44, pp.251-280 (1992).
Sobolev spaces on a Riemannian manifold and their equivalence,
J. Math. Kyoto Univ. 33 621--654,(1992).
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