Assistant professor

University of Nevada, Las Vegas

Department of Mathematical Sciences

SEB, 4505 S. Maryland Pkwy.

Las Vegas, NV 89154-4020

USA

Email:
le.chen AT unlv.edu
(Internet)

Tel: +1 702 895 0310

FAX: +1 702 895 4343

This page may not be updated.

I am an assistant professor at UNLV (the University of Nevada, Las Vegas). Prior to this, I was the Black-Babcock 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. I am an analysist/probabilist, working on stochastic partial differential equations.

You may find more information in my Curriculum Vitae.We will host the Frontier Probability Days '20 at UNLV on May 8-10, 2020.

- 2019 Spring: Math 463/663: Advanced Matrix Theory
- 2019 Spring: Math 283: Calculus III
- 2018 Fall: Math 432: Elementary Complex Analysis
- 2018 Fall: Math 181: Calculus I
- 2018 Spring: Math 365: Computational Linear Algebra
- 2017 Spring: Math 526: Probability and Statistics
- 2016 Fall: Math 526: Probability and Statistics
- 2016 Spring: Math 526: Probability and Statistics
- 2015 Fall: Math 526: Probability and Statistics
- 2015 Spring: Math 526: Probability and Statistics

- (with K. Kim)
Moment comparison for stochastic heat equation on R
^{d}. - (with D. Khoshnevisan, D. Nualart, and F. Pu)
Spatial ergodicity for SPDEs via a Poincaré-inequalities.
*arXiv:1907.11553*(40 pages)

- (with J. Huang)
Regularity and strict positivity of densities for the stochastic heat equation on R
^{d}.*arXiv:1902.02382*(94 pages)

- (with J. Huang, D. Khoshnevisan and K. Kim)
Dense blowup for parabolic SPDEs.

*Electronic Journal of Probability,*Accepted pending revision, 2019, arXiv:1702.08374. - (with Y. Hu and D. Nualart)
Nonlinear stochastic time-fractional slow and fast diffusion equations on R
^{d}.

*Stochastic Processes and their Applications,*2019, In press. - (with Y. Hu and D. Nualart)
Regularity and strict positivity of densities for the nonlinear stochastic heat equation.

*Memoirs of American Mathematical Society,*2019, to appear, arXiv:1611.03909. - (with J. Huang)
Comparison principle for stochastic heat equation on R
^{d}.

*Annals of Probability,*2019, Vol. 47, No. 2, 989-1035. - (with K. Kim)
Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency.

*Acta Mathematica Scientia,*2019, 39B (3): 645-668. - (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*31 (4), 2216-2265, 2018, arXiv:1606.08875. - (with Y. Hu and D. Nualart)
Two-point correlation function and Feynman-Kac formula for the stochastic heat equation.

*Potential Analysis*, 46 (4), 779-797, 2017. - (with K. Kim)
On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations

*Annales de l'Institut Henri Poincaré, Probabilités et Statistiques*, 53 (1), 358-388, 2017. - (with M. Cranston, D. Khoshnevisan and K. Kim)
Dissipation and high disorder

*Annals of Probability*, 45 (1), 82-99, 2017. - (with D. Khoshnevisan and K. Kim)
A boundedness trichotomy for the stochastic heat equation.

*Annales de l'Institut Henri Poincaré, Probabilités et Statistiques*, 53 (4), 1991-2004, 2017, arXiv:1510.04674. - Nonlinear stochastic time-fractional diffusion equations on R: moments,
Hölder regularity and intermittency.

*Transactions of the American Mathematical Society*, 369 (12), 8497-8535, 2017, arXiv:1410.1911. - (with G. Hu, Y. Hu and J. Huang)
Space-time fractional diffusions in Gaussian noisy environment.

*Stochastics*, 89 (1), 171-206, 2016. - (with K. Kim and D. Khoshnevisan)
Decorrelation of total mass via energy.

*Potential Analysis*, 45 (1). 157-166, 2016. - (with R. Dalang)
Moment bounds and asymptotics for the stochastic wave equation

*Stochastic Processes and their Applications*, 125 (4), 1605-1628, 2015.

(This paper corresponds mostly to Section 3 of the unpublished notes arXiv:1401.6506v1) - (with R. Dalang)
Moments, intermittency and growth indices for nonlinear stochastic fractional heat equation

*Stochastic Partial Differential Equations: Analysis and Computations*, 3 (3), 360-397, 2015. - (with R. Dalang),
Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions

*Annals of Probability*, 43 (6), 3006-3051, 2015. - (with R. Dalang)
Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions

*Stochastic Partial Differential Equations: Analysis and Computations*, 2 (3), 316-352, 2014.

- Moments, intermittencey, and growth indices for nonlinear stochastic PDE's with rough initial conditions.

École polytechnique fédérale de Lausanne, Thesis No. 5712, 2013.

- (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*, 2016.

- F. Jing, L. Chen, L. Zhang and W.-Y. Ma.
*Normalizing content ratings of content forums*, US20070174865 A1, 2007.

- L. Chen, D. Barber and J. Odobe.
Dynamical Dirichlet mixture model,
*IDIAP-RR*, 2007. Source code available here. - L. Chen, L. Zhang, F. Jing, K. Deng and W.-Y. Ma.
Ranking web objects from multiple communities.
*ACM 14th Conference on Information and Knowledge Management (CIKM)*, 2006, 377-386. - L. Zhang, L. Chen, F. Jing, K. Deng and W.-Y. Ma.
EnjoyPhoto: a vertical image search engine for enjoying high-quality photos.
*ACM Multimedia,*2006. - X. Li, L. Chen, L. Zhang, F. Lin and W.-Y. Ma.
Image annotation by large-scale content-based image retrieval.
*ACM Multimedia,*2006. - D. Wang, D. Ding, L. Chen, S. Zhang, F. Lin, B. Zhang.
Two kinds of timing cues and their usage in concept detection in news video,
*IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2005.* - L. Chen, D. Ding, D. Wang, F. Lin and B. Zhang.
AP-based Borda voting method for feature extraction in trecvid-2004.
*In: Losada D.E., Fernandez-Luna J.M. (eds) Advances in Information Retrieval. ECIR 2005. Lecture Notes in Computer Science, vol 3408. Springer, Berlin, Heidelberg,*2005. - D. Ding, L. Chen, B. Zhang.
Temporal shot clustering analysis for video concept detection.
*In: Losada D.E., Fernandez-Luna J.M. (eds) Advances in Information Retrieval. ECIR 2005. Lecture Notes in Computer Science, vol 3408. Springer, Berlin, Heidelberg,*2005.