Titlebook: Schrödinger Operators, Spectral Analysis and Number Theory; In Memory of Erik Ba Sergio Albeverio,Anindita Balslev,Ricardo Weder Conference

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Asymptotics of Random Resonances Generated by a Point Process of Delta-Interactions,s. We also pose a general question about the limiting behavior of the point process formed by leading parameters of asymptotic sequences of resonances. Our study leads to questions about metric characteristics for the combinatorial geometry of . samples of a random point in the 3-D space and the related statistics of extreme values.

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Conference proceedings 2021Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential.. .Erik Balslev has made original

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Introduction to the Scientific Contributions in the Book, indicated as belonging to one of the areas “Spectral theory and Schrödinger operators” or “Spectral theory and number theory” with one contribution from the area “Mathematics and binocular space perception”.

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,Some Remarks on Spectral Averaging and the Local Density of States for Random Schrödinger Operatorsensity of states function for a restricted family of random Schrödinger operators on cubes ., for .. The result holds for low energies without a localization assumption but is not strong enough to extend to the infinite-volume limit.

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,On the Generalized Li’s Criterion Equivalent to the Riemann Hypothesis and Its First Applications,, assuming RH, for their asymptotic for large .. As the first applications, we show that for any positive integer . there is such a value of . (depending on .) that for all . and .> ., the inequality . does hold true.

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Ricardo Wederuscle food. Although the by-products per se make important economic contributions to the productivity of the industries, their importance varies widely between classes and for different species. As important as this may be, the utilization of the otherwise waste by-products has become even more cruc

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Asymptotic Behavior of Large Eigenvalues of the Two-Photon Rabi Model, the rotating wave approximation. We prove that the spectrum of this Hamiltonian consists of two eigenvalue sequences ., ., satisfying the same two-term asymptotic formula with remainder . when . tends to infinity. We also propose a conjecture on a three-term asymptotic formula modeled on the GRWA for the one-photon Rabi model.

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Symbolic Calculus for Singular Curve Operators,erators in Topological Quantum Fields Theory (TQFT) are precisely generalized Töplitz operators of this kind and we compute for some of them, and conjecture for the others, their main symbol, determined by the associated classical trace function.