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Xu, Meng
Meng
Xu
Ph.D.
Lecturer
Arts & Sciences
Mathematics and Physics
203-479-4124
MAXY Maxcy Hall 320A
About

    Dr. Meng Xu is a Lecturer in the Department of Mathematics. Before joining UNH, Dr. Xu is a postdoctoral researcher in the Laboratory of Populations at Rockefeller University, New York. In summer 2011, he completed his Ph.D. in Mathematics from the University of Wyoming. His research interests are stochastic processes and quantitative ecology. His current works reveal the underlying mathematical/statistical mechanisms of a power-law relationship between the mean and the variance of population size or density, called Taylor's law. Meng Xu and his colleagues have studied this empirical ecological pattern using populations of deciduous trees in the Black Rock Forest, censuses of Norway, and fish samples from Lake Kariba, the world's largest artificial reservoir by volume. Meng Xu comes from Jinan, China, a city well-known for its ancient history and cold springs. In 2006, Meng Xu obtained his B.S. in Mathematics from Shandong Normal University.
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    Education

    Doctor of Philosophy, Mathematics, 2011

    Department of Mathematics, University of Wyoming, Laramie, WY

    Dissertation: Stochastic Analysis and Nonlinear Filtering of Point Vortex Dynamics Subjected to Jump Noise.

    Bachelor of Science, Mathematics, 2006

    College of Mathematical Science, Shandong Normal University, Jinan, China

    Research Interests

    Quantitative Ecology and Stochastic Processes

    Publications

    Xu, M., Schuster, W. S. F. and Cohen, J. E. (2013) Biological groupings and Taylor's law for tree species in a deciduous forest: Is Taylor's law a biological law or a statistical law? Submitted.

    Cohen, J. E., Xu, M. and Brunborg, H. (2013) Taylor's law applies to spatial variation in a human population. Genus. 69(1), 25-60.

    Cohen, J. E., Xu, M. and Schuster, W. S. F. (2013) Stochastic multiplicative population growth predicts and interprets Taylor's power law of fluctuation scaling. Proceedings of the Royal Society B: Biological Sciences. 280(1757), 20122955.

    Cohen, J. E., Xu, M. and Schuster, W. S. F. (2012) Allometric scaling of population variance with mean body size is predicted from Taylor's law and density-mass allometry.

    Proceedings of the National Academy of Sciences, U.S.A. 109(39), 15829-15834.

    Sritharan, S. S. and Xu, M. (2012) Malliavin calculus and stochastic Lagrangian equation for two dimensional Navier-Stokes flows. To appear in the Proceedings of the Seventh Seminar on Stochastic Analysis, Random Fields and Applications, Ascona 2011.

    Sritharan, S. S. and Xu, M. (2011) A stochastic Lagrangian particle model and nonlinear filltering for three dimensional Euler flow with jumps. Communications on Stochastic Analysis 5(3), 565-583.

    Sritharan, S. S. and Xu, M. (2010) Convergence of particle _ltering method for nonlinear estimation of vortex dynamics. Communications on Stochastic Analysis 4(3), 443-465.

    Fernando, B. P. W., Sritharan, S. S. and Xu, M. (2010) A simple proof of global solvability of 2-d Navier-Stokes equations in unbounded domains. Differential and Integral Equations 23(3-4), 223-235.

    Invited Talks

    Black Rock Forest Research Symposium. Black Rock Forest. Cornwall, NY. June 17, 2013.

    AMS Fall Southeastern Section Meeting. Tulane University, New Orleans, LA. October 14, 2012.

    AMS Spring Southeastern Section Meeting. University of South Florida, Tampa, FL. March 11, 2012.

    SIAM Conference on Control and Its Applications. Baltimore, MD. July 27, 2011.

    Joint Mathematics Meetings: AMS Special Session on Stochastic Analysis and Random Phenomena. New Orleans, LA. January 07, 2011.

    Activities

    Peer Reviewer

    International Journal of Analysis, Stochastic Models, Communications on Stochastic Analysis, AMS Mathematical Reviews.

    Mini-Symposium Organizer

    Recent Advances in Computational and Stochastic Methods in Fluid Dynamics with Control and Estimations, 36th Annual SIAMSoutheastern Atlantic Section Conference. University of Alabama in Huntsville, Huntsville, AL. March 24-25, 2012.

    Undergraduate Research Mentor

    Students: Nick Anderson (Math) and Stephen Bagley (Mechanical Engineering). Project: Stability Analysis of Isentropic Gas Dynamics. University of Wyoming. Summer 2010.

    Team Judge

    UWYO Calculus Bowl Competition. National Mathematics Awareness Month. University of Wyoming. Spring 2007.

    Teaching Workshop Participant

    Ellbogen Center for Teaching and Learning, University of Wyoming

    Operation of Classroom Technology, Spring 2010

    Introduction to Online Course Platforms, Spring 2010

    Effective Classroom Presentations, Fall 2009

    Using Supplemental Online Courses to Enhance Teaching, Summer 2007

    Honors and Awards

    Outstanding Graduate Student in Research, Department of Mathematics, University of Wyoming, 2008

    Best Oral Presentation in the 5th Graduate Student Symposium, Graduate School, University of Wyoming, 2007

    Outstanding Graduation Thesis, College of Mathematical Science, Shandong Normal University, 2006

    Professional Membership

    American Mathematical Society

    Institute of Mathematical Statistics

    Society for Industrial and Applied Mathematics