Degrees

Dongsheng Wu

Associate Professor

Address Information

• Email: dongsheng.wu@uah.edu
• 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.