Full List of Research Papers

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  1. (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
  2. (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
  3. (with R. Fukushima) On the exponential growth for a certain class of linear systems. ALEA Lat. Am. J. of Prob. Math. Stat., 9 (2012), 323--336. pdf
  4. 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
  5. (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
  6. (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
  7. (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
  8. (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
  9. (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
  10. 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)
  11. (with Y. Nagahata) Central Limit Theorem for a Class of Linear Systems,
    Electron. J. Probab. Vol. 14, No. 34, 960--977. (2009). pdf
  12. (with Y. Hu) Localization for Branching Random Walks in Random Environment,
    Stoch. Proc. Appl. , Vol. 119, Issue 5, 1632--1651, (2009). pdf
  13. Phase Transitions for the Growth Rate of Linear Stochastic Evolutions,
    preprint, 2008, J. Stat. Phys. , 133 , No.6, 1033--1058, (2008). pdf
  14. Central Limit Theorem for Branching Random Walk in Random Environment,
    Ann. Appl. Probab., Vol. 18, No. 4, 1619--1635, 2008. pdf
  15. (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/
  16. (with F. Comets) Brownian directed polymers in random environment,
    Commun. Math. Phys. 54 , 257--287, no. 2. (2005).
    ps.gz/ pdf
  17. (with F. Comets) Some new results on Brownian directed polymers in random environment,
    RIMS Kokyuroku 1386 , 50--66, (2004).
    ps.gz / pdf/
  18. (with F. Comets and T. Shiga) Probabilistic analysis of directed polymers in random environment: a review,
    n Advanced Studies in Pure Mathematics 39 115---142, (2004)
    ps.gz / pdf
  19. Phase transition from the viewpoint of relaxation phenomena,
    Review in Mathematical Pysics Vol.15, No. 7 (2003) 765--788.
    ps.gz
  20. (with F. Comets and T. Shiga) Directed polymers in random environment: path localization and strong disorder,
    Bernoulli , 9 (3), 705--723, (2003).
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  21. (with H. Tanemura) Localization transition of d-friendly walkers,
    Probab. Th. Rel. Fields , 125, 593 --608, (2003).
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  22. (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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  23. (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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  24. The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice,
    Ann. Inst. Henri Poincar\'e. Probabilit\'es et Statistiques 37, 2, 223--243 (2001)
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  25. 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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  26. The log-Sobolev inequality for weakly coupled lattice field,
    Probab. Th. Rel. Fields , 115 , 1--40, (1999).
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  27. Finite volume Glauber dynamics in a small magnetic field,
    J. Stat. Phys. 90 , Nos.3/4, (1998).
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  28. 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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  29. Relaxed criteria of the Dobrushin-Shlosman mixing condition,
    J. Stat. Phys. 87, Nos.1/2, 293--309, (1997).
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  30. (with Schonmann, R.) Exponential relaxation of Glauber dynamics with some special boundary conditions,
    Commun. Math. Phys. 189, 299--310, (1997).
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  31. (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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  32. (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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  33. The Littlewood-Paley-Stein inequality on an infinite dimensional manifold,
    J. Funct. Anal. . 122, 402--427, (1994).
  34. A large deviation principle for (r,p)-capacities on the Wiener space,
    Probab. Th. Rel. Fields , 94, 473--488, (1993).
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  35. (with Shigekawa, I.) Littlewood-Paley-Stein inequality for symmetric diffusions,
    J. math. Soc. Japan, 44, pp.251-280 (1992).
  36. Sobolev spaces on a Riemannian manifold and their equivalence,
    J. Math. Kyoto Univ. 33 621--654,(1992).
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