Lecture

Fixed points of the Ruelle-Thurston operator

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Description

This lecture discusses the fixed points of the Ruelle-Thurston operator, focusing on the Cauchy transform and the degree of the operator. The presentation covers various aspects of the operator's behavior and its application in complex analysis.

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In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space has no "punctures" or "missing endpoints", i.e., it includes all limiting values of points. For example, the open interval (0,1) would not be compact because it excludes the limiting values of 0 and 1, whereas the closed interval [0,1] would be compact.

Associate degree

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