Tian-you Hu

Education:

M.S. (in probability and stochastic process) Zhongshan University, 1981, China.
Ph. D. (in real analysis and fractals) University of Pittsburgh, 1990, PA, USA 

Employment:

1981-1984: Guangzhou Normal College, Guangzhou, China
1990-now: University of Wisconsin-Green Bay, Green Bay, WI 54311

Papers:

• Tightness of Probability Measures on Function Spaces, J. Guangzhou Normal College, 1(1983), 20-25.
• Weak Convergence of Measures on the Continuous Function Spaces, Southeast Asia Bull. Math., 7(1983), 112-122 (with L.S. Liu).
• The Sum of Rademacher Functions and Hausdorff Dimension, Math. Proc. Camb. Philos. Soc., 108(1990), 97-103 (with K.S. Lau).
• Fractal Dimensions and Singularities of the Weierstrass Type Functions, Trans. Amer. Math. Soc., 335(1993), 649-665 (with K.S. Lau).
• Hausdorff Dimension of the Level Sets of Rademacher Series, Bull. Polish Acad. Sci. Math., 41(1993), 11-18 (with K.S. Lau).
• Hausdorff Dimension of the Graphs of Some Perturbed Rademacher Series, Real Analysis Exchange, 19(2), 1993/94, 457-464 (with K.S. Lau).
• On the Structure of the Intersection of Two Middle Third Cantor Sets, Publicacions Mathematiques, 39(1995), 43-60 (with Gregory Davis).
• The Local Dimensions of the Bernoulli Convolution Associated with the Golden Number, Trans. Amer. Math. Soc., 349(1997), 2917-2940.
• Some Open Questions Related to Probability, Fractals, Wavelets and Tiling, East-West Journal of Mathematics, Vol.2, No.1(2000) 55-71.
• Multifractal Structure of Convolution of the Cantor Measure (with K.S. Lau), Advances in Applied Math., (to appear).
• Asymptotic behavior of the Fourier transforms of self-similar measures, Proc. Amer. Math. Soc., (to appear).
• On The Absolute Continuity of a Class of Invariant Measures (with K.S. Lau \& X.Y. Wang), submitted.
• The Fourier Asymptotics of the Cantor Type Measures at Infinity (with K.S. Lau), submitted.
• Local Dimensions of Fractal Measure Associated with Equal Probability Weight (with N. Nguyen), submitted.
• Local Dimensions of the Probability Measure Associated with the (0,1,3)-Problem (with N. Nguyen and T. Wang), submitted.

Presentations:

• The Sum of Rademacher Functions and Hausdorff Dimension, MAA North Central Section Summer Seminar, University of Minnesota-Duluth, June 1991.
• The Local Dimensions of Some Singular Bernoulli Measures, Summer Seminar in Mathematics, University of Pittsburgh, July 1993.
• The Local Dimensions of the Bernoulli Convolution Associated with the Golden Number, Wavelets and Fractals Conference, Pittsburgh, May 1994 and Conference on Fractal Geometry and Stochastic, Finsterbergen, Germany, June 1994.
• The Distribution Types of Some Self-similar Measures, the Chinese University of Hong Kong, January 1997.
• Some Topics in Fractals, Zhongshan University, China, January 1997.
• Multifractal Structure of Convolution of the Cantor Measure, First Pacific Rim Conference on Mathematics, January 1998, Hong Kong.
• The Asymptotic Behavior of an Infinite Product of Cosine Functions, the Chinese University of Hong Kong, April 1998.
• Asymptotic behavior of the Fourier transforms of self-similar measures, Morningside Center of Mathematics, Chinese Academy of Sciences, August 1999, Bejing, China.
• Some open questions related to probability, fractals, wavelets and tiling, New Mexico State University, October 1999.
• Multifractal Structure of Self-similar Measures, University of Texas-El Paso, October 1999.
• Decomposition of self-similar sets, The Chinese University of Hong Kong, August 2000.