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The spectral density of a difference of spectral projections [PDF]
, 2015 Let $H_0$ and $H$ be a pair of self-adjoint operators satisfying some standard assumptions of scattering theory. It is known from previous work that if $\lambda$ belongs to the absolutely continuous spectrum of $H_0$ and $H$, then the difference of ...
Pushnitski, Alexander
core +3 more sources
One-particle spectral densities and phase diagrams of one-dimensional proton conductors
Condensed Matter Physics, 2021 The equilibrium states of one-dimensional proton conductors in the systems with hydrogen bonds are investigated. Our extended hard-core boson lattice model includes short-range interactions between hydrogen ions, their transfer along the hydrogen bonds ...
R. Ya. Stetsiv
doaj +1 more source
The spectral density of a product of spectral projections [PDF]
, 2015 We consider the product of spectral projections $$ \Pi_\epsilon(\lambda) = 1_{(-\infty,\lambda-\epsilon)}(H_0) 1_{(\lambda+\epsilon,\infty)}(H) 1_{(-\infty,\lambda-\epsilon)}(H_0) $$ where $H_0$ and $H$ are the free and the perturbed Schr\"odinger ...
Frank, Rupert L., Pushnitski, Alexander
core +4 more sources
Известия высших учебных заведений. Поволжский регион:Технические науки, 2022 Background. Application of stability margin of dynamic system, integral estimates of autocorrelation functions and spectra of vibro-acoustic oscillations in machine tools is relevant for evaluation of their dynamic quality and purpose of cutting mode ...
A.A. Ignat'ev +3 more
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Assessing Granger-Causality in the Southern Humboldt Current Ecosystem Using Cross-Spectral Methods
Entropy, 2020 The southern Humboldt Current ecosystem is an important topic among researchers working on the drivers of pelagic species’ biological indicators.
Javier E. Contreras-Reyes +1 more
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Estimating Spectral Density Functions Robustly
Revstat Statistical Journal, 2007 We consider in the following the problem of robust spectral density estimation. Unfortunately, conventional spectral density estimators are not robust in the presence of additive outliers (cf. [18]).
Bernhard Spangl , Rudolf Dutter
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Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness
Micromachines, 2023 This study investigates the effect of small random transverse wall roughness on electromagnetohydrodynamic (EMHD) flow is in a microchannel, employing the perturbation method based upon stationary random function theory.
Nailin Ma, Yanjun Sun, Yongjun Jian
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Spectrum Concentration in Deep Residual Learning: A Free Probability Approach
IEEE Access, 2019 We revisit the weight initialization of deep residual networks (ResNets) by introducing a novel analytical tool in free probability to the community of deep learning.
Zenan Ling, Robert C. Qiu
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Features of seishe initiation in the water area near Poronaisk (Sakhalin Island) [PDF]
Геосистемы переходных зон, 2022 The results of studying potential sources of seiche excitation energy in the water area near Poronaisk (Sakhalin Island) using natural measurement data in 2008–2009 are presented.
Dmitry P. Kovalev +4 more
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Entropy, 2014 We prove a large deviation principle for a stationary Gaussian process over Rb,indexed by Ζd (for some positive integers d and b), with positive definite spectral density, andprovide an expression of the corresponding rate function in terms of the mean ...
Olivier Faugeras, James MacLaurin
doaj +1 more source