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Main Page Comments/Questions Copyright 2006 |
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Yang Wang received his Ph.D. from Harvard University in 1990 under the direction of David Mumford. Since then he has become an important researcher in harmonic analysis and fractal geometry having published over 40 papers, many of a fundamental nature.
Dr. Wang has published over a dozen papers on fractal tiling and its connection with harmonic analysis. This is an extremely exciting area of analysis attracting many researchers world wild and Dr. Wang is a central figure in this arena.
Computation of self-similar sets with overlap is another important area where Dr. Wang has made fundamental contribution. Investigation of self-similar sets in fractal geometry date back to at least 1981 when Hutchinson formulated the open set condition to assist in the computation of Hausdorff dimension. Progress in weakening the open set condition has been slow, but results have begun to appear in recent years. Although Dr. Wang has published only one paper in this area, it is perhaps the definitive paper establishing the class of finite-type iterated function systems as a broad class of iterated function systems leading to sets whose Hausdorff dimension can be calculated. This generalized the work of several others and is the basis for subsequent work by another invited speaker.
Dr. Wang is currently Professor of Mathematics at The Georgia Institute of Technology.
Manav Das received his Ph.D. in 1996 from the Ohio State University under the direction of Gerald Edgar. He's been developing into a strong researcher ever since and is currently an Associate Professor of Mathematics at the University of Louisville.
Like Wang, some of Dr. Das's very interesting recent work deals with the computation of Hausdorff dimension in the absence of the open set condition. In fact, one of his papers generalizes Wang's work on finite-type iterated function systems to graph-directed iterated function systems. Another condition which has been used to compute the dimension of self-similar sets is the weak separation property. Dr. Das extends this notion to the graph-directed case as well. Prior to this, Dr. Das did important work on graph directed self-similar measures.
Dr. Das is currently an Associate Professor of Mathematics at the University of Louisville.
Alica Miller is an exciting new researcher in Real Analysis who received her Ph.D. in 2001 from Michigan State University under the direction of Cliff Weil. Part of her dissertation was published in two research articles on topological dynamics. She continued her research in this direction through a post-doctoral postion at the University of Illinois. This has resulted in a third paper co-authored with Joe Rosenblatt.
Dr. Miller has recently started a tenure track position at the University of Louisville.
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