Ph.D.(Mathematical Science), Japan

Stochastic Analysis

Stochastic Partial Differential Equatoin

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
ニュートン数理科学研究所

2008 - 2013
Young Researcher Empowerment Project (Assistant Professor)

2005 - 2008, The University of Tokyo, The Graduate School of Mathematical Sciences, Mathematical Science

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

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
Lead

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
Lead

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

確率偏微分方程式
舟木 直久, 乙部 厳己, 謝 賓, Joint work
岩波書店, 15 Mar. 2019

The Mathematical Society of Japan

Stochastic Partial Differential Equations

Stochastic analysis on stochastic generalized Cahn-Hilliard equations
科学研究費補助金, 基盤研究（C）

Various properties relative to intermittency of space-time fractional SPDEs
科学研究費補助金, 基盤研究（C）

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）

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）

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）