Visiting assistant professor

Emory University

Department of Mathematics

400 Dowman Drive

Atlanta, GA 30322 USA

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

Tel: +1 404 727 5641

FAX: +1 404 727 5611

I am a visiting assistant professor at Emory University. Before this, I was a tenure-track assistant professor at the University of Nevada, Las Vegas, from 2018-2019 for three semesters and the Black-Babcock visiting assistant professor at the University of Kansas from 2015-2017 for five semesters. I obtained my Ph.D. in April 2013 from Swiss Federal Institute of Technology, Lausanne (or École Polytechnique Fédérale de Lausanne). In 2014, I obtained an SNSF (Swiss National Science Foundation) post-doctoral research fellowship to spend one year at the University of Utah. I am an analysist/probabilist, working on stochastic analysis and stochastic partial differential equations.

You may find more information in my Curriculum Vitae.We will host the Frontier Probability Days '21 at UNLV on May 16-18, 2021.

- 2020 Spring: Math 221 : Linear Algebra
- 2020 Spring: Math 362 : Mathematical Statistics II
- 2019 Fall: Math 361 (two sections): Mathematical Statistics I
- 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 D. Khoshnevisan, D. Nualart, and F. Pu)
Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial conditions.
*arXiv:2005.10417*(27 pages)

- (with D. Khoshnevisan, D. Nualart, and F. Pu) Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method.
- (with D. Khoshnevisan, D. Nualart, and F. Pu)
A CLT for dependent random variables, with applications to infinitely-many interacting diffusion processes.
*arXiv:2005.05827*(15 pages)

- (with K. Kim)
Stochastic comparison for stochastic heat equation on R
^{d}.*arXiv:1912.05350*(38 pages)

- (with D. Khoshnevisan, D. Nualart, and F. Pu)
Poincaré-inequalities, and central limit theorems for parabolic stochastic partial differential equations.
*arXiv:1912.01482*(31 pages)

- (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,*2019, Vol. 24, paper no. 118, 1-33. - (with Y. Hu and D. Nualart)
Nonlinear stochastic time-fractional slow and fast diffusion equations on R
^{d}.

*Stochastic Processes and their Applications,*129 (2019) 5073-5112. - (with Y. Hu and D. Nualart)
Regularity and strict positivity of densities for the nonlinear stochastic heat equation.

*Memoirs of American Mathematical Society,*accepted in 2018, estimated to appear in mid-2021 due to long backlog, 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. - (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. - (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. - Nonlinear stochastic time-fractional diffusion equations on R: moments,
Hölder regularity and intermittency.

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

*Stochastics*, 89 (1), 171-206, 2016. - (with D. Khoshnevisan and K. Kim)
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.

Balan, Raluca | University of Ottawa, CA | 1 |

Cranston, Michael | University of California, Irvine | 1 |

Dalang, Robert | École Polytechnique Fédérale de Lausanne, Switzerland | 4 |

Hu, Guannan | University of Missouri-St. Louis | 1 |

Hu, Yaozhong | University of Alberta, CA | 5 |

Huang, Jingyu | University of Birmingham, UK | 4 |

Kalbasi, Kamran | École Polytechnique Fédérale de Lausanne, Switzerland | 1 |

Khoshnevisan, Davar | University of Utah | 9 |

Kim, Kunwoo | Pohang University of Science and Technology, Korea | 7 |

Nualart, David | University of Kansas | 9 |

Pu, Fei | University of Utah | 5 |

- 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.