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Academic OrganizationAcademic Assembly School of Science and Technology (Institute of Science)TEL
Education and Research OrganizationFaculty of Science Department of Mathematics Course of Natural InformaticsFAX
PositionProfessorMail Address
AddressAsahi 3-1-1, Matsumoto, NaganoWeb site


Research Field
Stochastic Analysis
Stochastic Partial Differential Equatoin
Keywords:Probability Theory , Analysis of Probability , Stochastic partial differential equation
Current Subject
Stochastic Partial Differential Equations
Keywords:マルコフ性, エルゴード性,縮小性
Academic Societies
Academic Societies
The Mathematical Society of Japan
Academic Background
Graduate School
The University of Tokyo , (Mathematical Science , The Graduate School of Mathematical Sciences) , 2008

Ph.D.(Mathematical Science) , Japan
Research Career
Research Career
2021- , Academic Assembly of School of Science and Technology (Institute of Science) (Professor)
2014-2021 , Academic Assembly of School of Science and Technology (Institute of Science) (Associate Professor)
2013-2014 , Faculty of Science, Shinshu University (Associate Professor)
2008-2013 , Young Researcher Empowerment Project (Assistant Professor)


Books, Articles, etc.
岩波書店 2019(Mar. 15)
Author:舟木 直久, 乙部 厳己, 謝 賓

Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications
Stochastics and Partial Differential Equations: Analysis and Computations ,10(2):419-445 2022
Author:B. Xie

Asymptotics of PDE in random environment by paracontrolled calculus
Annales de l'Institut Henri Poincaré-Probabilités et Statistiques,57(3):1702-1735 2021
Author:T. Funaki, M. Hoshino, S. Sethuraman and B. Xie

Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises
J. Differential Equations,269(9):6988-7014 2020
Author:L. Goudenège, B. Xie

A note on random strings with values in a bounded convex domain
RIMS Kôkyûroku Bessatsu,B79(9):199-213 2020
Author:B. Xie

Wang's Harnack inequalities for space-time white noises driven SPDEs with two reflecting walls and their applications
J. Math. Anal. Appl. 469,469(2):568-593 2019
Author:M. Niu, B. Xie

Comparison theorem and decorrelation for stochastic heat equation driven by Lévy space-time white noise
Discrete & Continuous Dynamical Systems-B,24(7):2989-3009 2019
Author:M. Niu, B. Xie

Hypercontractivity for space–time white noise driven SPDEs with reflection
J. Differential Equations,266(9):5254-5277 2019
Author:B. Xie

Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises
J. Differential Equations,264(2):1050-1079 2018
Author:B. Xie

Some effects of the noise intensity upon non-linear stochastic heat equations on [0,1]
Stochastic Process. Appl.,126(4):1184-1205 2016
Author:B. Xie

Fluctuations in an evolutional model of two-dimensional Young diagrams
Stochastic Process. Appl.,123(2):1229-1275 2013
Author:T. Funaki, M. Sasada, M. Sauer, B Xie

Impulsive noise driven 1-dimensional higher order fractional partial differential equations
Stochastic Analysis and Applications,30:122-145 2012
Author:B. Xie

Impacts of Gaussian noises on the blow-up times of nonlinear stochastic partial differential equations
Nonlinear Analysis: Real World Application,13(3):1346-1352 2012
Author:M. Niu, B. Xie

Uniqueness of Invariant Measures of Infinite Dimensional Stochastic Differential Equations Driven by Levy Noises
Potential Analysis,36(1):35-66 2012
Author:B. Xie

On a Burgers type nonlinear equation perturbed by a pure jump Levy noise in
Bull. Sci. Math.,136(5):484-506 2012
Author:J-L. Wu, B. Xie

Regularity of a fractional partial differential equation driven by space-time white noise
Proc. Amer. Math. Soc,138(4):1479-1489 2010
Author:M. Niu, B. Xie

A stochastic heat equation with the distributions of Lévy processes as its invariant measures.
Stochastic Process. Appl.,119(2):307-326 2009
Author:T. Funaki, B. Xie

Stochastic differential equations with non-Lipschitz coefficients in Hilbert spaces
Stoch. Anal. Appl.,26:408-433 2008
Author:B. Xie

On pathwise uniqueness of stochastic evolution equations on Hilbert Spaces
J. Math. Anal. Appl.,344:204-216 2008
Author:B. Xie

The moment and almost surely exponential stability of stochastic heat equations
Proc. Amer. Math. Soc.,136:3627-3634 2008
Author:B. Xie

Research Grants
Grants‐in‐aid for Scientific Research(Research Representative)
2020 - 2023 , Stochastic analysis on stochastic generalized Cahn-Hilliard equations , 基盤研究(C)
2016 - 2019 , Various properties relative to intermittency of space-time fractional SPDEs , 基盤研究(C)
2013 - 2015 , 分数冪ラプラシアンを持つ確率Burgers方程式の確率解析 , 若手研究(B)
2009 - 2012 , 特異性を持つ確率偏微分方程式の研究 , 若手研究(B)
2008 - 2008 , 特異性を持つ確率偏微分方程式の研究 , 若手研究(スタートアップ)
Research Activities
Overseas Research Fellowship
2010-2010 , ニュートン数理科学研究所