S. Fang

发表

Flow of Homeomorphisms and Stochastic Transport Equations

S. Fang, Dejun Luo, 2007 .

A differentiable isomorphism between Wiener space and path group

J. Franchi, S. Fang, 1997 .

Additive functionals and push forward measures under Veretennikov's flow

A. Pilipenko, S. Fang, 2014 .

Stochastic differential equations with non-Lipschitz coefficients : II . Dependence with respect to initial values

Tusheng Zhang, S. Fang, 2021 .

Global flows for stochastic differential equations without global Lipschitz conditions

P. Imkeller, Tusheng Zhang, S. Fang, 2007, math/0703791.

A Weitzenböck formula for the damped Ornstein–Uhlenbeck operator in adapted differential geometry

A. B. Cruzeiro, S. Fang, A. Cruzeiro, 2001 .

Optimal transport maps on infinite dimensional spaces

S. Fang, Vincent Nolot, 2015, Frontiers of Mathematics in China.

ON THE BEHAVIOUR OF METRICS Hs ON LOOP GROUPS

S. Fang, 2010 .

Stochastic Analysis on the Path Space of a Riemannian Manifold: I. Markovian Stochastic Calculus

P. Malliavin, S. Fang, 1993 .

Constantin and Iyer’s Representation Formula for the Navier–Stokes Equations on Manifolds

S. Fang, Dejun Luo, 2017, Potential Analysis.

Generalized stochastic Lagrangian paths for the Navier-Stokes equation

M. Arnaudon, A. B. Cruzeiro, S. Fang, 2015, 1509.03491.

Constantin and Iyer’s Representation Formula for the Navier–Stokes Equations on Manifolds

S. Fang, Dejun Luo, 2015, 1508.06387.

Canonical Brownian Motion on the Diffeomorphism Group of the Circle

S. Fang, 2002 .

De Rham–Hodge–Kodaira Operator on Loop Groups

J. Franchi, S. Fang, 1997 .

Vorticity, Helicity, Intrinsinc geometry for Navier-Stokes equations

Z. Qian, S. Fang, 2019, 1910.05175.

Nash Embedding, Shape Operator and Navier-Stokes Equation on a Riemannian Manifold

S. Fang, 2019, Acta Mathematicae Applicatae Sinica, English Series.

Stochastic differential equations with coefficients in Sobolev spaces

Anton Thalmaier, S. Fang, Dejun Luo, 2010, 1001.3007.

Integration by Parts Formula and Logarithmic Sobolev Inequality on the Path Space Over Loop Groups

S. Fang, 1999 .

Lectures on stochastic differential equations

S. Fang, 2009 .

N ov 2 00 3 Stochastic differential equations with non-Lipschitz coefficients : II . Dependence with respect to initial values

S. Fang, 2008 .

N ov 2 00 3 Stochastic differential equations with non-Lipschitz coefficients : I . Pathwise uniqueness and Large deviations

A. Savary, S. Fang, 2003 .

A study of a class of stochastic differential equations with non-Lipschitzian coefficients

Tusheng Zhang, Shizan Fang, Tusheng Zhang, 2005 .

Small time asymptotics for Brownian motion with singular drift

Tusheng Zhang, Zhen-Qing Chen, S. Fang, 2018, Proceedings of the American Mathematical Society.

Solving stochastic differential equations on Homeo(S1)

S. Fang, 2004 .

Ricci Tensors on Some Infinite Dimensional Lie Algebras

S. Fang, 1999 .

Wasserstein space over the Wiener space

Jinghai Shao, Karl-Theodor Sturm, Shizan Fang, 2010 .

Transport equations and quasi-invariant flows on the Wiener space

S. Fang, Dejun Luo, 2010 .

On the Estimate for Commutators in DiPerna–Lions Theory

S. Fang, Huaiqian Lee, 2011 .

Diperna-Lions and Ambrosio’s approach to ordinary differential equations

S. Fang, 2008 .

A P ] 1 1 O ct 2 01 9 Vorticity , Helicity , Intrinsinc geometry for Navier-Stokes equations

Z. Qian, S. Fang, 2019 .

On the Ornstein-Uhlenbeck process

S. Fang, 1994 .

Large Deviations for the Brownian Motion on Loop Groups

Tusheng Zhang, S. Fang, 2001 .

Optimal transport maps on infinite dimensional spaces

S. Fang, Vincent Nolot, 2015 .

Fokker-Planck equation with respect to heat measures on loop groups

J. Shao, S. Fang, 2011 .

Heat semi-group and generalized flows on complete Riemannian manifolds

S. Fang, Dejun Luo, Huaiqian Li, 2011 .

Analysis on free Riemannian path spaces

Feng-Yu Wang, S. Fang, 2005 .

Stochastic anticipative calculus on the path space over a compact Riemannian manifold

S. Fang, 1998 .

On the small time behavior of Ornstein–Uhlenbeck processes with unbounded linear drifts

Shizan Fang, T. Zhang, S. Fang, 1999 .