Averaged spectral measures of a class of random Schrödinger operators coincide with Plancherel measures of convolution operators on wreath products, yielding new spectral criteria and Lifshitz tail estimates.
Existence of absolutely con tinuous spectrum for galton–watson random trees
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Random Schr\"odinger operators and convolution on wreath products
Averaged spectral measures of a class of random Schrödinger operators coincide with Plancherel measures of convolution operators on wreath products, yielding new spectral criteria and Lifshitz tail estimates.