Page
personnelle de Shizan FANG
Professeur
Institut de mathématiques de
Bourgogne
Université de
Bourgogne
9 Avenue Alain
Savary
BP 47870
Dijon Cedex,
France
Bureau 330,
Tél : 03 80 39 58 43
Membre de l’équipe SPAN
PAPIERS RECENTS :
·
(with M. Arnaudon
and A.B. Cruzeiro), Generalized stochastic
Lagrangian paths for the
Navier-Stokes equation, accepted
in Annali Scuola Normale
sup. di Pisa, 2017.
·
(with D. Luo), Constantin and Iyer’s
representation
formula for the Navier-Stokes equation on
manifolds, Potential Analysis, 2017 (on line).
·
(with B. Wu),
Remarks on spectral gaps on the Riemannian path space, Elec. Comm.
Proba., 22
(2017), no 19, 1-13.
·
(with A. Pilipenko),
Additive functional and push forward
measures under Veretennikov’s flow, Interdiciplinary
Math. Sciences, 17 (2015), 163-178, in honor of Masatoshi Fukushima’s Sansu.
·
(with V. Nolot),
Optimal transport maps on infinite
dimensional spaces, Front. Math. China, 10 (2015), 715-732.
·
Hydrodynamics and SDE with coefficients in Sobolev space, Modern Stochastics and applications, Springer Optim. Appl. 90 (2014), 109-121.
·
(with V. Nolot) Sobolev estimates for optimal
transport maps on Gaussian spaces, Journal of Funct. Analysis, 266 (2014),
5045-5084.
·
(with H.
Lee and D. Luo) Heat semi-group and generalized flows
on complete Riemannian manifolds, Bull.
Sci. Math, 135 (2011), 565-600 (PDF).
· (with J. Shao) Fokker-Planck equations with
respect to heat measures on loop groups, Bull.
Sci. Math, 135 (2011), 775-794 (PDF).
· (with D. Luo and A. Thalmaier) Stochastic differential equations with
coefficients in Sobolev spaces, J. Funct.
Analysis, 259 (2010), 1129-1168
(PDF).
· On the behavior of metric Hs
on loop groups, Theory of Stoch. Processes, 16 (2010),
39-43(PDF).
· (with J. Shao and Th. Sturm) Wasserstein space
over the Wiener space, Prob. Theory
Related Fields, 146 (2010),
535-565(PDF).
· (with H. Lee) Commutator
estimate for the heat semi-group on compact Riemannian manifolds, Preprint no 569 (2009), IMB.
· (with J. Shao) Optimal transport maps for
Monge-Kantorovich problem on loop groups, J.
Funct. Analysis, 248 (2007),
225-257(PDF).
Et
Plus
ENSEIGNEMNTS
· M4b