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Existence of doubling measures via generalised nested cubes
doubling measures via generalised nested cubes
2010/11/9
Using generalised dyadic cubes and the mass distribution principle, we give a straightforward new proof for the existence of doubling measures in complete doubling metric spaces.
Existence of isoperimetric regions in contact sub-Riemannian manifolds
isoperimetric regions sub-Riemannian manifolds
2010/11/9
We prove existence of regions minimizing perimeter under a volume constraint in contact sub-Riemannian manifolds such that their quotient by the group of contact transformations preserving the sub-Rie...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...