Oberseminar Differentialgeometrie: Mayuk Mukherjee (Indian Institute of Technology Bombay), Vortrag: Billiard flow and eigenfunction concentration on polyhedra
Abstract: In this talk, we discuss a basic (and somewhat classical) problem
of Laplace eigenfunction mass concentration on convex polyhedra. We show
quantitative mass concentration in a neighbourhood of the non-smooth part
of the boundary, or the "pockets" of the billiard. Mainly standard
microlocal analysis and control theoretic tools are used, but on the way,
we also discuss several new dynamical properties of the billiard flow on
polyhedra which are required for the proof.
Angelegt am Thursday, 14.10.2021 13:56 von Sandra Huppert
Geändert am Friday, 12.11.2021 09:55 von Sandra Huppert
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