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The symmetric property tau for the Gaussian measure
The symmetric property tau the Gaussian measure
2010/11/15
We give a proof based on the Poincar\'e inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santal\...
An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics
The Lattice Property I Veech Groups Coding Geodesics
2010/11/9
We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry grou...
A Missed Persistence Property for the Euler Equations, and its Effect on Inviscid Limits
Persistence Property the Euler Equations
2010/11/11
We consider the problem of the strong convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations under a Navier slip-type boundary condi...