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Results tagged with sp.spectral-theory
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user 766
Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices
21
votes
Accepted
An experiment on random matrices
The distribution of the bulk of the spectrum is an example of the circular law. For the model you selected (where each entry is uniformly chosen at random from an interval), the law was first proven …
- 114k
10
votes
Accepted
Counterexamples to weak dispersion for the Schrödinger group
The answer is yes.
A measure-preserving invertible shift $T: X \to X$ on a probability space $(X,\mu)$ is said to be weakly mixing if $\lim_{N \to \infty} \frac{1}{N} \sum_{n=1}^N |\langle f \circ T^{ …
- 114k
14
votes
Spectrum of $L^\infty(X,\mu)$
I'm recording here some references on the object $\tilde X = \mathrm{Spec}(L^\infty(X,\Sigma,\mu))$ (many of which were communicated to me recently by Balint Farkas), assuming for sake of simplicity t …
- 114k