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math-ph2005
Geometric heat comparison criteria for Riemannian manifolds
Leon Karp, Norbert Peyerimhoff
The main results of this article are small time heat comparison results for two points in two manifolds with characteristic functions as initial temperature distributions (Theorems…
math-ph2004
Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature
S. Klassert, D. Lenz, N. Peyerimhoff +1
This paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curva…
math-ph2004
Linear stability analysis of hedgehogs in the Skyrme model on a three-sphere. Critical phenomena and spontaneously broken reflection symmetry
Lukasz Bratek
Linear stability analysis of the whole spectrum of static hedgehog solutions of the Skyrme model on the three-sphere of radius L is carried out. It turns out that only solutions th…