Prof. Zhongmin Qian

PhD

Status

Academic Faculty

Professor of Mathematics, Official Fellow in Mathematics at Exeter College

+44 1865 279629

Contact form

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Recent preprints may be found in arXiv

System Control and Rough Paths (with T. Lyons), Oxford Mathematical Monographs, Clarendon Press, Oxford 2002.

Recent publications

Lévy area analysis and parameter estimation for fOU processes via non-geometric rough path theory

Qian, Z Xu, X Acta Mathematica Scientia volume 44 issue 5 1609-1638 (27 Aug 2024)

Entropy estimate for degenerate SDEs with applications to nonlinear kinetic Fokker–Planck equations

Qian, Z Ren, P Wang, F SIAM Journal on Mathematical Analysis volume 56 issue 4 5330-5349 (19 Jul 2024)

On the dynamics of the boundary vorticity for incompressible viscous flows

Cherepanov, V Liu, J Qian, Z Journal of Scientific Computing volume 99 issue 2 (01 Apr 2024)

Probability bounds for reflecting diffusion processes

Qian, Z Xu, X Statistics & Probability Letters volume 199 109855 (Aug 2023)

On distributions of velocity random fields in turbulent flows

Li, J Qian, Z Zhou, M Journal of the London Mathematical Society volume 108 issue 1 54-79 (06 Apr 2023)

Research interests

I am interested in stochastic analysis: diffusion processes, rough path analysis, backward stochastic differential equations and stochastic (partial) differential equations. I am also interested in the Ricci curvature and related partial differential equations, and its applications in the general theory of relativity, quantum fields etc.

Highlighted publications

Differential structure and flow equations on rough path space

Qian, Z Tudor, J Bulletin des Sciences Mathematiques volume 135 issue 6-7 695-732 (01 Sep 2011)

Backward stochastic dynamics on a filtered probability space

Liang, G Lyons, T Qian, Z Annals of Probability volume 39 issue 4 1422-1448 (01 Jul 2011)

A study of the navier-stokes equations with the kinematic and navier boundary conditions

Chen, G Qian, Z Indiana University Mathematics Journal volume 59 issue 2 721-760 (01 Dec 2010)

Ricci flow on a 3-manifold with positive scalar curvature

Qian, Z Bulletin des Sciences Mathematiques volume 133 issue 2 145-168 (01 Mar 2009)

An estimate for the vorticity of the Navier-Stokes equation

Qian, Z Comptes Rendus Mathematique volume 347 issue 1-2 89-92 (01 Jan 2009)

Teaching

I am teaching B8.1 Martingales Through Measure Theory, and CDT Foundation course on Measures and Probability Theory, in Michaelmas Term 2015.

Further details

Conferences

The second Oxford workshop on probability and its applications will take place in the Mathematical Institute, Andrew Wiles Building, Oxford, from Monday 17 March to Thursday 20 March, 2014. The details about the workshop may be found on the stochastic analysis web page Oxford Probability Workshop.

The infomation about The first Oxford workshop on probability and its applications can be found here.