XIE Bin
Academic Assembly School of Science and Technology (Institute of Science)
Faculty of Science Department of Mathematics Course of Natural Informatics
Professor
Researcher Information
Research Keyword
- Probability Theory, Stochastic Analysis, Stochastic partial differential equation, Harnack's inequality
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) - 2010 - 2010
Isaac Newton Institute for Mathematical Sciences(visiting researcher) - 2008 - 2013
Young Researcher Empowerment Project (Assistant Professor)
Educational Background
Research activity information
Paper
- One dimensional BSDEs with critical integrable terminal values and infinite time horizon
A. Kazuki, B. Xie
Systems Control Lett. , 187, 2024 - Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications
B. Xie
Stochastics and Partial Differential Equations: Analysis and Computations, 10(2), 419-445, 2022 - Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs
T. Funaki, B. Xie
Stoch. Partial Differ. Equ. Anal. Comput., 10(3), 858-897, 2022 - Asymptotics of PDE in random environment by paracontrolled calculus
T. Funaki, M. Hoshino, S. Sethuraman and B. Xie
Annales de l'Institut Henri Poincaré-Probabilités et Statistiques, 57(3), 1702-1735, 2021 - A note on random strings with values in a bounded convex domain
B. Xie
RIMS Kôkyûroku Bessatsu, B79(9), 199-213, 2020 - Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises
L. Goudenège, B. Xie
J. Differential Equations, 269(9), 6988-7014, 2020 - Hypercontractivity for space–time white noise driven SPDEs with reflection
B. Xie
J. Differential Equations, 266(9), 5254-5277, 2019 - Comparison theorem and decorrelation for stochastic heat equation driven by Lévy space-time white noise
M. Niu, B. Xie
Discrete & Continuous Dynamical Systems-B, 24(7), 2989-3009, 2019 - Wang's Harnack inequalities for space-time white noises driven SPDEs with two reflecting walls and their applications
M. Niu, B. Xie
J. Math. Anal. Appl. 469, 469(2), 568-593, 2019 - Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises
B. Xie
J. Differential Equations, 264(2), 1050-1079, 2018 - Some effects of the noise intensity upon non-linear stochastic heat equations on [0,1]
B. Xie
Stochastic Process. Appl., 126(4), 1184-1205, 2016 - Fluctuations in an evolutional model of two-dimensional Young diagrams
T. Funaki, M. Sasada, M. Sauer, B Xie
Stochastic Process. Appl., 123(2), 1229-1275, 2013 - Impulsive noise driven 1-dimensional higher order fractional partial differential equations
B. Xie
Stochastic Analysis and Applications, 30, 122-145, 2012 - Uniqueness of Invariant Measures of Infinite Dimensional Stochastic Differential Equations Driven by Levy Noises
B. Xie
Potential Analysis, 36(1), 35-66, 2012 - Impacts of Gaussian noises on the blow-up times of nonlinear stochastic partial differential equations
M. Niu, B. Xie
Nonlinear Analysis: Real World Application, 13(3), 1346-1352, 2012 - On a Burgers type nonlinear equation perturbed by a pure jump Levy noise in
J-L. Wu, B. Xie
Bull. Sci. Math., 136(5), 484-506, 2012 - Regularity of a fractional partial differential equation driven by space-time white noise
M. Niu, B. Xie
Proc. Amer. Math. Soc, 138(4), 1479-1489, 2010 - A stochastic heat equation with the distributions of Lévy processes as its invariant measures.
T. Funaki, B. Xie
Stochastic Process. Appl., 119(2), 307-326, 2009 - The moment and almost surely exponential stability of stochastic heat equations
B. Xie
Proc. Amer. Math. Soc., 136, 3627-3634, 2008 - On pathwise uniqueness of stochastic evolution equations on Hilbert Spaces
B. Xie
J. Math. Anal. Appl., 344, 204-216, 2008 - Stochastic differential equations with non-Lipschitz coefficients in Hilbert spaces
B. Xie
Stoch. Anal. Appl., 26, 408-433, 2008 - The stochastic parabolic partial differential equation with non-Lipschitz coefficients on the unbounded domain
B. Xie
J. Math. Anal. Appl., 339, 705-718, 2008
Books and other publications
- Stochastic Partial Differential Equation
Funaki Tadahisa, Otobe Yoshiki, Xie Bin, Joint work
岩波書店, 15 Mar. 2019Courses
- Advanced Calculus I
Shinshu University - Advanced Calculus Ⅲ
Shinshu University - The fundamentals of Probability Theory
Shinshu University - Calculus Ⅱ
Shinshu University - Advanced Calculus I
Shinshu University - Special Lectures of Advanced Science A
Shinshu University - Advanced Calculus I
Shinshu University - Advanced Calculus Ⅲ
Shinshu University - The fundamentals of Probability Theory
Shinshu University - Advanced Calculus I
Shinshu University - Calculus Ⅱ
Shinshu University - Special Lectures of Advanced Science A
Shinshu University - Stochastic Analysis
Shinshu University - Calculus Ⅰ
Shinshu University - Exercise in Calculus Ⅰ
Shinshu University
Research Themes
- Stochastic analysis on stochastic generalized Cahn-Hilliard equations
科学研究費補助金, 基盤研究（C）
2020 - 2023 - Various properties relative to intermittency of space-time fractional SPDEs
科学研究費補助金, 基盤研究（C）
2016 - 2019 - 分数冪ラプラシアンを持つ確率Burgers方程式の確率解析
科学研究費補助金, 若手研究（B）
2013 - 2015 - 特異性を持つ確率偏微分方程式の研究
科学研究費補助金, 若手研究（B）
2009 - 2012 - 特異性を持つ確率偏微分方程式の研究
科学研究費補助金, 若手研究（スタートアップ）
2008 - 2008
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