UAH

Dongsheng Wu

Associate Professor

Address Information

Teaching (Fall 2012)

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. Letters81 (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. Sinica23 (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

Professional Background

  • Ph.D. (Mathematics), Michigan State University, East Lansing, 2006.

  • At University of Alabama in Huntsville since 2006.