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arXiv · 1808.09754

Singular Support of Minimizers of the Causal Variational Principle on the Sphere

Lucia Bäuml·Felix Finster·Daniela Schiefeneder·Heiko von der Mosel
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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 $\tau>\sqrt{3}$, 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 case $\tau>\sqrt{6}$, the support is proven to have Hausdorff dimension at most $6/7$.

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Lucia Bäuml, Felix Finster, Daniela Schiefeneder, Heiko von der Mosel. 2018-08-29. Singular Support of Minimizers of the Causal Variational Principle on the Sphere. https://doi.org/10.1007/s00526-019-1652-7

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