Titlebook: Methods of Mathematical Physics; Classical and Modern Alexey N. Karapetyants,Vladislav V. Kravchenko Textbook 2022 The Editor(s) (if applic

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Alexey N. Karapetyants,Vladislav V. Kravchenkodescribe how optimal transport theory can be leveraged to develop methods that impose constraints on the full shapes of distributions corresponding to different sensitive attributes, overcoming the limitation of most approaches that approximate fairness desiderata by imposing constraints on the lowe

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Alexey N. Karapetyants,Vladislav V. Kravchenkotion between energy levels leading to optical transitions with a narrow bandwidth. The applications of external perturbations and the geometrical confinement induce significant modifications in the electronic and optical properties of a quantum dot. Thus, the reduced dimensionality systems exhibit t

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Alexey N. Karapetyants,Vladislav V. Kravchenkoalues of the nonlinear absorption coefficient (β.) with different on-axis input intensities endorse 2PA as the principal absorption mechanism. The χ. value measured was 4.7 × 10. esu which ensures its potential usefulness in photonic applications exploiting optical limiting property.