Voiculescu's entropy and potential theory
Thomas Bloom
TL;DR
This paper presents a new proof connecting Voiculescu's entropy with potential theory, showing that the logarithmic energy of a planar measure can be expressed as a triple limit of volumes.
Contribution
It provides a novel proof of Voiculescu's result, linking entropy and potential theory through a triple limit of volumes.
Findings
Logarithmic energy expressed as a triple limit of volumes
New proof of Voiculescu's entropy result
Enhanced understanding of entropy in potential theory
Abstract
We give a new proof of the result,originating in work of Voiculescu,that the logarithmic energy of a planar measure is a triple limit of volumes.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals