University of Kansas
Department of Mathematics
405 Snow Hall, 1460 Jayhawk Blvd
Lawrence, Kansas, 66045-7594
USA
Email:
chenle AT ku.edu
(Internet)
Tel: +1 785 864 4452
FAX: +1 785 864 5255
About me
I have moved to the University of Nevada, Las Vegas, for the tenure-track position since Jan. 2018. Here is my new page. This appointment has been postponed for one semester from Aug. 2017. Prior to this, I was a visiting assistant professor at the University of
Kansas, working with Professor David Nualart and
Professor Yaozhong Hu.
I obtained my Ph.D. in April 2013 from Swiss Federal Institute of Technology, Lausanne (or École
Polytechnique Fédérale de Lausanne, EPFL, in french),
under the guidance of Professor Robert C. Dalang.
In 2014, I was an SNSF (Swiss National Science Foundation) post-doctoral research fellow working with
Professor Davar Khoshnevisan and Dr. Kunwoo Kim.
I am an analysist/probabilist, working on stochastic partial differential equations.
(with R. Dalang)
Moment bounds and asymptotics for the stochastic wave equation Stochastic Processes and their Applications, Volume 125, Issue 4, pp 1605-1628, 2015.
(This paper corresponds mostly to Section 3 of the unpublished notes arXiv:1401.6506v1)
Nonlinear stochastic time-fractional diffusion equations on R: moments,
Hölder regularity and intermittency. Transactions of the American Mathematical Society, 2016.
(to appear, arXiv:1410.1911)
(with D. Khoshnevisan and K. Kim)
A boundedness trichotomy for the stochastic heat equation. Annales de l'Institut Henri
Poincaré, Probabilités et Statistiques, 2016.
(to appear, arXiv:1510.04674)
(with Y. Hu, K. Kalbasi and D. Nualart)
Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise. Probability Theory and Related Fields
171(1), 431-457, 2018, arXiv:1602.05617.
(with R. Balan)
Parabolic Anderson Model with space-time homogeneous Gaussian noise and rough initial condition.
Journal of Theoretical Probability
(to appear, arXiv:1606.08875)
(with J. Huang)
Comparison principle for stochastic heat equation on R^{d}.
Annals of Probability (to appear,
arXiv:1607.03998)
Submitted
(with Y. Hu and D. Nualart)
Nonlinear stochastic time-fractional slow and fast diffusion equations on R^{d}.
arXiv:1509.07763 (43 pages).
(with K. Kim)
Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency.
arXiv:1510.06046 (26 pages).
(with Y. Hu and D. Nualart)
Regularity and strict positivity of densities for the nonlinear stochastic heat equation.
arXiv:1611.03909 (90 pages)
(with J. Huang, D. Khoshnevisan and K. Kim)
Dense blowup for parabolic SPDEs
arXiv:1702.08374 (39 pages)
Some unpublished preprints
(with R. Dalang),
Moment bounds in spde's with application to the stochastic wave equation,
arXiv:1401.6506, 2014.
(with R. Dalang)
The nonlinear stochastic heat equation with rough initial data: a summary of some new results,
arXiv:120.1690, 2012.
The third moment for the parabolic Anderson model.
arXiv:1609.01005
SUSTech Global Scientists Forum
(South University of Science and Technology of China, Shenzhen, March 18 - 19, 2016)
Title: Intermittency front for various SPDE's. (talk)
Random Dynamical Systems and Ergodicity
(University of Loughborough, Loughborough, UK. July 7 - 10, 2015)
Title: Nonlinear stochastic slow and fast diffusion equations on R. (talk).
AMS Special Session on Stochastic Analysis and Rough Paths
(University of Nevada, Las Vegas, USA. April 18 - 19, 2015)
Title: On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equation (talk).
2014
Rocky Mountain Mathematics Consortium (RMMC)
(University of Wyoming, USA. May 27 - June 6, 2014)
Title: Hölder continuity for the nonlinear stochastic heat equation with rough initial conditions (talk)
Frontier Probability Days 2014
(Tucson, Arizona, USA. May 18-20, 2014)
Title: Hölder continuity for the nonlinear stochastic heat equation with rough initial conditions (talk)
Stochastic Analysis and Applications
(Centre Interfacultaire Bernoulli, Lausanne, Switzerland. June 4-8, 2012)
Title: Intermittency for some parabolic and hyperbolic Anderson models (poster)
Sixth Ph.D. Student Conference in Stochastics (Zurich, Switzerland. Sept. 30 -- Oct. 2, 2010)
Title: A Feynman-Kac type formula for the deterministic wave equations on a domain with boundary conditions (talk)
University of Tennessee,
Colloquium (Jan. 19, 2016)
Title: Intermittent stochastic partial differential equations.
2015
Ottawa University,
Probability Seminar (Nov. 27, 2015)
Title: Moments and intermittency fronts for various SPDE's.
McGill/Concordia Universities,
CRM-ISM Probability Seminar (Nov. 26, 2015)
Title: Moments, rough initial data and intermittency for various SPDE's.
University of Kansas,
Kansas Stochastics Seminar (May 6, 2015)
Title: On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equation
University of Kansas,
Kansas Stochastics Seminar (April 8, 2015)
Title: Nonlinear stochastic time-fractional diffusion equations on R
University of Kansas,
Kansas Stochastics Seminar (Feb. 11, 2015)
Title: Intermittency fronts for various SPDE's
2014
University of Utah,
Utah Stochastics Seminar (Dec. 12, 2014)
Title: Moments and intermittency fronts for the stochastic heat equation with spatially colored noise
Lehigh University,
(Math Colloquium) invited by Professor Daniel Conus (Oct. 29, 2014)
Title: Intermittency fronts for the stochastic heat equation
École Polytechnique Fédérale de Lausanne,
invited by Professor Robert Dalang (Aug. 12, 2014)
Title: A sample-path comparison principle for the nonlinear stochastic space-fractional heat equation with rough initial conditions
University of York,
invited by Professor Zdzislaw Brzezniak (Aug. 4, 2014)
Title: Some studies on the nonlinear stochastic space-fractional heat equation
Loughborough University,
invited by Professor Mohammud Foondun (July 29, 2014)
Title: Intermittence, growth indices and sample-path comparison principle for nonlinear stochastic space-fractional heat equation
Beijing Normal University,
invited by Professor Zenghu Li (June 16, 2014)
Title: Some studies on the stochastic heat equation on R
University of Utah,
Utah Stochastics Seminar (Feb. 28, 2014)
Title: Moment estimates for various SPDE's driven by space-time white noise
Between my master and Ph.D., I worked (as a visiting scholar) for one year at
Microsoft Research Asia
in the Web Search and Mining group and for another year at
IDIAP research institute (Switzerland).
I was working on statistical machine learning, content-based image retrieval and computer vision.
I have one US patent
Feng Jing, Le Chen, Lei Zhang, Wei-Ying Ma,
Normalizing content ratings of content forums,
US20070174865 A1, 2007.
Here are some selected publications during that period:
Le Chen, Lei Zhang, Feng Jing, Kefeng Deng, Wei-Ying Ma,
Ranking web objects from multiple communities,
in ACM Fourteenth Conference on Information and Knowledge Management (CIKM), 2006.
(conference presentation)