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XIE Bin

Academic OrganizationAcademic Assembly School of Science and Technology Institute of ScienceTEL
Education and Research OrganizationFaculty of Science Department of MathematicsFAX
PositionAssociate ProfessorMail Address
AddressAsahi 3-1-1, Matsumoto, NaganoWeb sitehttp://math.shinshu-u.ac.jp/~bxie/

Profile

Research Field
Stochastic Analysis
Stochastic Partial Differential Equatoin
Keywords:Probability Theory , Analysis of Probability , Stochastic partial differential equation
Current Subject
Stochastic Partial Differential Equations

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

Degree
Ph.D.(Mathematical Science) , Japan
Research Career
Research Career
2014- , Faculty of Science, Shinshu University(Associate Professor)
2013-2014 , Faculty of Science, Shinshu University(Associate Professor)
2008-2013 , Young Researcher Empowerment Project (Assistant Professor)

Research

Books, Articles, etc.
Books
確率偏微分方程式
岩波書店 2019(Mar. 15)
Author:舟木 直久, 乙部 厳己, 謝 賓


Articles
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
,36(1):35-66 2012
Author:B. Xie


On a Burgers type nonlinear equation perturbed by a pure jump Levy noise in
,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


The stochastic parabolic partial differential equation with non-Lipschitz coefficients on the unbounded domain
J. Math. Anal. Appl.,339:705--718 2008
Author:B. Xie


Stochastic differential equations with non-Lipschitz coefficients in Hilbert spaces
,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)
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)
Research Activities
Overseas Research Fellowship
2010-2010 , ニュートン数理科学研究所