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Ulam method and fractal Weyl law for Perron--Frobenius operators
Ulam method fractal Weyl law Perron--Frobenius operators
2010/4/7
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the ...
The trace formula for transversally elliptic operators on Riemannian foliations
The trace formula transversally elliptic Riemannian foliations
2010/11/1
We prove a Duistermaat-Guillemin trace formula for transversally elliptic operators on a compact foliated manifold.