Singular support of minimizers of the causal variational principle on the sphere

Baeuml, Lucia and Finster, Felix and Schiefeneder, Daniela and von der Mosel, Heiko (2019) Singular support of minimizers of the causal variational principle on the sphere. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 58 (6): 205. ISSN 0944-2669, 1432-0835

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Abstract

The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case t > v 3, the support of every minimizing measure is contained in a finite number of real analytic curves which intersect at a finite number of points. In the caset > v 6, the support is proven to have Hausdorff dimension at most 6/7.

Item Type: Article
Uncontrolled Keywords: LOCAL MINIMIZERS; POINTS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Mar 2020 06:41
Last Modified: 06 Apr 2020 05:52
URI: https://pred.uni-regensburg.de/id/eprint/25779

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