Singular support of minimizers of the causal variational principle on the sphere
The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case τ > 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 τ >...
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| Published in: | Calculus of variations and partial differential equations Vol. 58; no. 6; pp. 1 - 27 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2019
Springer Nature B.V |
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| 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
τ
>
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
τ
>
6
, the support is proven to have Hausdorff dimension at most 6 / 7. |
|---|---|
| AbstractList | The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case τ>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 τ>6, the support is proven to have Hausdorff dimension at most 6 / 7. The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case τ > 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 τ > 6 , the support is proven to have Hausdorff dimension at most 6 / 7. |
| ArticleNumber | 205 |
| Author | Schiefeneder, Daniela von der Mosel, Heiko Bäuml, Lucia Finster, Felix |
| Author_xml | – sequence: 1 givenname: Lucia surname: Bäuml fullname: Bäuml, Lucia organization: Department Mathematik, FAU Erlangen-Nürnberg – sequence: 2 givenname: Felix surname: Finster fullname: Finster, Felix organization: Fakultät für Mathematik, Universität Regensburg – sequence: 3 givenname: Daniela surname: Schiefeneder fullname: Schiefeneder, Daniela organization: Institut für Mathematik, Universität Innsbruck – sequence: 4 givenname: Heiko surname: von der Mosel fullname: von der Mosel, Heiko email: heiko@instmath.rwth-aachen.de organization: Institut für Mathematik, RWTH Aachen University |
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| References | Burchard, Choksi, Topaloglu (CR4) 2018; 67 Finster (CR10) 2018; 968 Finster, Kleiner (CR12) 2015; 626 Bilyk, Dai (CR2) 2019; 372 Carrillo, Delgadino, Mellet (CR5) 2016; 343 Finster, Schiefeneder (CR14) 2013; 210 Bochnak, Coste, Roy (CR3) 1998 Finster (CR9) 2016 Balagué, Carrillo, Laurent, Raoul (CR1) 2013; 209 Prechtl (CR16) 2016 Cohn, Kumar (CR7) 2007; 20 Carrillo, Figalli, Patacchini (CR6) 2017; 34 Frank, Lieb (CR15) 2018; 67 Finster, Grotz, Schiefeneder, Finster, Müller, Nardmann, Tolksdorf, Zeidler (CR11) 2012 Finster (CR8) 2010; 646 Saff, Kuijlaars (CR17) 1997; 19 Finster, Kleiner (CR13) 2017; 56:73 JA Carrillo (1652_CR5) 2016; 343 F Finster (1652_CR10) 2018; 968 F Finster (1652_CR8) 2010; 646 D Balagué (1652_CR1) 2013; 209 J Bochnak (1652_CR3) 1998 F Finster (1652_CR12) 2015; 626 EB Saff (1652_CR17) 1997; 19 H Cohn (1652_CR7) 2007; 20 F Finster (1652_CR11) 2012 A Burchard (1652_CR4) 2018; 67 F Finster (1652_CR14) 2013; 210 F Finster (1652_CR13) 2017; 56:73 RL Frank (1652_CR15) 2018; 67 JA Carrillo (1652_CR6) 2017; 34 F Finster (1652_CR9) 2016 D Bilyk (1652_CR2) 2019; 372 L Prechtl (1652_CR16) 2016 |
| References_xml | – volume: 626 start-page: 012020 year: 2015 ident: CR12 article-title: Causal fermion systems as a candidate for a unified physical theory publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/626/1/012020 – volume: 210 start-page: 321 issue: 2 year: 2013 end-page: 364 ident: CR14 article-title: On the support of minimizers of causal variational principles publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/s00205-013-0649-1 – volume: 20 start-page: 99 issue: 1 year: 2007 end-page: 148 ident: CR7 article-title: Universally optimal distribution of points on spheres publication-title: J. Am. Math. Soc. doi: 10.1090/S0894-0347-06-00546-7 – year: 2016 ident: CR9 publication-title: The Continuum Limit of Causal Fermion Systems doi: 10.1007/978-3-319-42067-7 – volume: 67 start-page: 1547 issue: 4 year: 2018 end-page: 1569 ident: CR15 article-title: A “liquid–solid” phase transition in a simple model for swarming, based on the “no flat-spots” theorem for subharmonic functions publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.2018.67.7398 – volume: 968 start-page: 012004 year: 2018 ident: CR10 article-title: Causal fermion systems: a primer for Lorentzian geometers publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/968/1/012004 – volume: 34 start-page: 1299 issue: 5 year: 2017 end-page: 1308 ident: CR6 article-title: Geometry of minimizers for the interaction energy with mildly repulsive potentials publication-title: Ann. Inst. Henri Poincaré Anal. Non Linéaire doi: 10.1016/j.anihpc.2016.10.004 – volume: 56:73 start-page: 33 issue: 3 year: 2017 ident: CR13 article-title: A Hamiltonian formulation of causal variational principles publication-title: Calc. Var. Partial Differ. Equ. – volume: 19 start-page: 5 issue: 1 year: 1997 end-page: 11 ident: CR17 article-title: Distributing many points on a sphere publication-title: Math. Intell. doi: 10.1007/BF03024331 – year: 2016 ident: CR16 publication-title: Untersuchung der Minimierer des kausalen Variationsprinzips auf der Sphäre, Masterarbeit Mathematik – year: 1998 ident: CR3 publication-title: Real Algebraic Geometry doi: 10.1007/978-3-662-03718-8 – volume: 343 start-page: 747 issue: 3 year: 2016 end-page: 781 ident: CR5 article-title: Regularity of local minimizers of the interaction energy via obstacle problems publication-title: Commun. Math. Phys. doi: 10.1007/s00220-016-2598-7 – volume: 646 start-page: 141 year: 2010 end-page: 194 ident: CR8 article-title: Causal variational principles on measure spaces publication-title: J. Reine Angew. Math. – start-page: 157 year: 2012 end-page: 182 ident: CR11 article-title: Causal fermion systems: a quantum space-time emerging from an action principle publication-title: Quantum Field Theory and Gravity doi: 10.1007/978-3-0348-0043-3_9 – volume: 209 start-page: 1055 issue: 3 year: 2013 end-page: 1088 ident: CR1 article-title: Dimensionality of local minimizers of the interaction energy publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/s00205-013-0644-6 – volume: 372 start-page: 3141 issue: 5 year: 2019 end-page: 3166 ident: CR2 article-title: Geodesic distance Riesz energy on the sphere publication-title: Trans. Am. Math. Soc. doi: 10.1090/tran/7711 – volume: 67 start-page: 375 issue: 1 year: 2018 end-page: 395 ident: CR4 article-title: Nonlocal shape optimization via interactions of attractive and repulsive potentials publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.2018.67.6234 – volume: 209 start-page: 1055 issue: 3 year: 2013 ident: 1652_CR1 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/s00205-013-0644-6 – volume: 343 start-page: 747 issue: 3 year: 2016 ident: 1652_CR5 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-016-2598-7 – volume: 968 start-page: 012004 year: 2018 ident: 1652_CR10 publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/968/1/012004 – volume: 67 start-page: 1547 issue: 4 year: 2018 ident: 1652_CR15 publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.2018.67.7398 – start-page: 157 volume-title: Quantum Field Theory and Gravity year: 2012 ident: 1652_CR11 doi: 10.1007/978-3-0348-0043-3_9 – volume: 56:73 start-page: 33 issue: 3 year: 2017 ident: 1652_CR13 publication-title: Calc. Var. Partial Differ. Equ. – volume-title: Untersuchung der Minimierer des kausalen Variationsprinzips auf der Sphäre, Masterarbeit Mathematik year: 2016 ident: 1652_CR16 – volume-title: Real Algebraic Geometry year: 1998 ident: 1652_CR3 doi: 10.1007/978-3-662-03718-8 – volume: 20 start-page: 99 issue: 1 year: 2007 ident: 1652_CR7 publication-title: J. Am. Math. Soc. doi: 10.1090/S0894-0347-06-00546-7 – volume: 210 start-page: 321 issue: 2 year: 2013 ident: 1652_CR14 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/s00205-013-0649-1 – volume-title: The Continuum Limit of Causal Fermion Systems year: 2016 ident: 1652_CR9 doi: 10.1007/978-3-319-42067-7 – volume: 626 start-page: 012020 year: 2015 ident: 1652_CR12 publication-title: J. Phys. Conf. Ser. doi: 10.1088/1742-6596/626/1/012020 – volume: 19 start-page: 5 issue: 1 year: 1997 ident: 1652_CR17 publication-title: Math. Intell. doi: 10.1007/BF03024331 – volume: 372 start-page: 3141 issue: 5 year: 2019 ident: 1652_CR2 publication-title: Trans. Am. Math. Soc. doi: 10.1090/tran/7711 – volume: 67 start-page: 375 issue: 1 year: 2018 ident: 1652_CR4 publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.2018.67.6234 – volume: 646 start-page: 141 year: 2010 ident: 1652_CR8 publication-title: J. Reine Angew. Math. – volume: 34 start-page: 1299 issue: 5 year: 2017 ident: 1652_CR6 publication-title: Ann. Inst. Henri Poincaré Anal. Non Linéaire doi: 10.1016/j.anihpc.2016.10.004 |
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| Snippet | The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case
τ
>
3
, the support of every... The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case τ>3, the support of every... |
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| Title | Singular support of minimizers of the causal variational principle on the sphere |
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