Greg Lawler, 128B Physics Bldg, Thursdays 1:30-3:30, and by appointment
Falconer, Fractal Geometry, Mathematical Foundations and Applications
Peitgens, Jurgens, and Saupe, Chaos and Fractals, New Frontiers of Science
In the first part of this course, we will cover the basic material on rigorous definitions of dimension with an emphasis on techniques to calculate Hausdorff dimension. This part will be a standard lecture course with occasional problem sets. We will follow Part I of Falconer as well as Chapters 15-17. The latter part of the course will consist of student presentations. We will discuss/negotiate details after the class begins; the exact content will depend on interests of the students.
Problems will be assigned during the lectures. Here is a list of the problems in postscript format.
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Last modified: 2 September 96