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Karl Petersen's Home Page

I am a faculty member (now retired) with the Mathematics Department of the University of North Carolina at Chapel Hill

Degrees: AB 1965 Princeton; MA 1967, Ph.D. 1969 Yale
Specialty: Ergodic theory

Ergodic theory is a fairly new branch of mathematics which applies probability and analysis to study the long-term average behavior of complicated systems. It overlaps heavily with (smooth) dynamical systems theory and draws methods, examples, and problems from harmonic analysis, number theory, combinatorics, and many other branches of mathematics. Applications range from celestial mechanics through interactions of biological populations to the efficient transmission and recording of information. My particular research interests have concentrated on symbolic dynamics, almost everywhere convergence, maximal theorems, and connections of ergodic theory with harmonic analysis and probability.

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