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math.DS2020
Dynamical Borel-Cantelli lemma for recurrence theory
Mumtaz Hussain, Bing Li, David Simmons +1
We study the dynamical Borel-Cantelli lemma for recurrence sets in a measure preserving dynamical system with a compatible metric . We prove that, under some regular…
math.AP2020
Regularity of Almost-Minimizers of Hölder-Coefficient Surface Energies
David Simmons
We study almost-minimizers of anisotropic surface energies defined by a Hölder continuous matrix of coefficients acting on the unit normal direction to the surface. In this general…