Degrees Associate Professor Address Information Email: email@example.com Office: 201J Shelby Center Phone: 256.824.6676 Fax: 256.824.6173 Teaching (Fall 2012) MA 244-02: Introduction to Linear Algebra MA 385-01: Introduction to Probability Research Interests Stochastic processes and random fields, stochastic partial differential equations, statistical properties of Gaussian random fields, random fractal, high accuracy finite element analysis. Selected Publications Critical Brownian sheet does not have double points. (with R.C. Dalang, D. Khoshnevisan, E. Nualart and Y. Xiao). Ann. Probab., 40 (2012), 1829-1859. (PDF) α -time fractional Brownian motion: PDE connections and local times. (with E. Nane and Y. Xiao). ESAIM: P&S,16 (2012), 1-24. (Journal Link) Fractional Brownian sheets run with nonlinear clocks. J. Math. Phys.53 (2012), paper 013514. (Journal Link) Mixed fractional Brownian sheets and their applications. J. Math. Phys., 52 (2011), paper 063510. (Journal Link) On the solution process for a stochastic fractional partial differential equation driven by space-time white noise. Stat.Probab. Letters, 81 (2011), 1161-1172. (Journal Link) On local times of anisotropic Gaussian random fields. (with Y. Xiao). Comm. Stoch. Anal., 5 (2011), 14-39. (PDF) Packing dimension results for anisotropic Gaussian random fields. (with A. Estrade and Y. Xiao). Comm. Stoch. Anal., 5 (2011), 41-64. (PDF) Regularity of intersection local times of fractional Brownian motions. (with Y. Xiao). J. Theor. Probab., 23 (2010), 972-1001. (Journal Link) Effects of hyperellipsoidal decision surfaces on image segmentation in artificial color. (with J. Fu, H.J. Caulfield and T. Montgomery). J. Electron. Imaging., 19 (2010), Paper 023003. (PDF) Hyperspectral image analysis using artificial color. (with J. Fu, H.J. Caulfield and W. Tadesse). J. Applied Remote Sensing,4 (2010), Paper 043514. (PDF) Fuzzy aggregation with artificial color filters. (with J. Fu, H.J. Caulfield and S.M. Yoo). Information Sciences., 180 (2010), 167-180. (Journal Link) Uniform dimension results for Gaussian random fields. (with Y. Xiao). Science in China Series A: Mathematics, 52 (2009), 1478-1496. (Journal Link) Continuity in the Hurst index of the local times of anisotropic Gaussian random fields. (with Y. Xiao). Stoch. Process. Appl., 119 (2009), 1823-1844. (PDF) Local times of multifractional Brownian sheets. (with M. Meerschaert and Y. Xiao). Bernoulli,14 (2008), 865-898.(PDF) Joint continuity of the local times of fractional Brownian sheets. (with A. Ayache and Y. Xiao). Ann. Inst.H. Poincare Prob. Stat., 44 (2008), 727-748. (PDF) Capacity analysis of an ultrawideband active RFID system. (with F. Kheiri, B. Dewberry and L. Joiner). Proc. IEEE SoutheastCon 2008, Huntsville, Alabama, April 2008. Dimension results for multifractional Brownian sheets. J. Math. Phys., 48 (2007), Paper 073511. (Journal Link) Generalized Pickands constants. J. Math. Phys., 48 (2007), Paper 053513. (Journal Link) Geometric properties of fractional Brownian sheets. (with Y. Xiao). J. Fourier Anal. Appl., 13 (2007), 1-37. (PDF) Dimensional properties of fractional Brownian motion. (with Y. Xiao). Acta Math. Sinica, 23 (2007), 613-622. (Journal Link) Sectorial local nondeterminism and the geometry of the Brownian sheet. (with D. Khoshnevisan and Y. Xiao). Electronic J. Probab., 11 (2006), 817-843. (PDF) Fractal properties of the random string processes. (with Y. Xiao). IMS Lecture Notes: High Dimensional Probability,51 (2006), 128-147. (PDF) High accuracy analysis of elliptic eigenvalue problem for the Wilson nonconforming finite element. ActaMath. Appl.Sinica (English Ser.), 17 (2001), 200-206. (Journal Link) Convergence and superconvergence of Hermite bicubic elements for eigenvalue problem of the biharmonicequation. J. Comput. Math., 19 (2001), 139-142. (Journal Link) Probabilistic numerical approach for PDE and its application in the valuation of European options. J. Comput. Math., 19 (2001), 591-600. (Journal Link) High-accuracy approximations for eigenvalue problems by the Carey nonconforming finite element. (with Q. Lin).Comm.Numer. MethodsEngrg.,15 (1999), 19-31. (PDF) The Dirichlet problem of a diffusion equation with vibration boundary values. (with H. Wu). (Chinese) J. Math. Res. Exposition,16 (1996), 213-218. A probabilistic solution to the Cauchy problem for the convection-diffusion equation. (Chinese) Chinese Sci. Bulletin,40 (1995), 2209-2211. Conferences International Conference on Advances on Fractals and Related Topics, Chinese University of Hong Kong, Hong Kong, Dec. 10--14, 2012. Thirty-fourth Probability Colloquium, Northwestern University, Evanston, Oct. 11--13, 2012. 2012 NSF-CBMS Regional Conference in the Mathematical Sciences Small Deviation Probabilities: Theory and Applications, University of Alabama in Huntsville, Huntsville, June 4--8, 2012. Seminar on Stochastic Processes 2011, University of California, Irvine, March 24--26, 2011. The Ninth Northeast Probability Seminar, City University of New York, New York, Nov. 18--19, 2010. Seminar on Stochastic Processes 2010, University of Central Florida, Orlando, March 11--13, 2010. The Third International Conference on Stochastic Analysis and Its Applications, Beijing Institute of Technology, Beijing, China, July 13--17, 2009. IMS-China International Conference on Statistics and Probability 2009, Shandong University, Weihai, China, July 3--6, 2009. The First IMS Asia Pacific Rim Meeting, Seoul National University, Seoul, Korea, June 28--July 1, 2009. Spring School on Random Differential Equations and Gaussian Fields, Chateau de Mons, France, June 15--19, 2009. 2009 Barrett Lectures at The University of Tennessee, Knoxville, April 17--18, 2009. Workshop on "Small Ball Inequalities in Analysis, Probability, and Irregularities of Distribution", American Institute of Mathematics, Dec. 8--12, 2008. The Seventh Northeast Probability Seminar, New York University, Nov. 20--21, 2008. Special Session on "Gaussian Analysis & Stochastic Partial Differential Equations" at AMS 2008 Fall Southeastern Meeting, The University of Alabama in Huntsville, Oct. 24--26, 2008. CBMS Research Conference on Malliavin Calculus and its Applications, Kent State University, Aug. 7--12, 2008. IMS-China International Conference on Statistics and Probability 2008, Zhejiang University, Hangzhou, China, June 11--13, 2008. Seminar on Stochastic Processes 2008, University of Delaware, April 3--5, 2008. Professional Background Ph.D. (Mathematics), Michigan State University, East Lansing, 2006. At University of Alabama in Huntsville since 2006.