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bstract
We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. To this end we evaluate a set of local and non-local dynamic ...correlation functions in the long time limit. We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs. replica-off-diagonal scenarios, leading to distinct long-time predictions for the correlation functions. We then evaluate the corresponding correlation functions numerically and compare the simulations with analytical predictions of replica-diagonal and replica-off-diagonal calculations. We conclude that all our numerical results are in a quantitative agreement with the theory based on the replica-diagonal saddle point plus Schwarzian and massive Gaussian fluctuations (the latter do contain replica off-diagonal components). This seems to exclude any contributions from replica-off-diagonal saddle points, at least on the time scales shorter than the inverse many-body level spacing.
he possibility of neural network signal processing of a tomography quasi-distributed fiber-optic measuring network is shown. The measuring network presents several nonlinear measuring lines with ...fiber-optical amplitude sensing elements. The data processing is carried out by a neural network containing an inner layer of nonlinear neurons. As a result, the distribution function of the measuring physical field is reconstructed. The results of numerical experiments, as well as experiments with the layout of a measuring network of dimension 8 × 8, are presented.
Abstract
The authors review the formation of a small object signal by an optical system with a matrix photodetector. They develop a mathematical model of signal formation and test it. The authors ...calculate the signal/noise proportion for various small object signal shapes and amplitudes processed by the Laplace operator.
We present the results obtained at the Division of Analytical Chemistry, Moscow State University after 2000 of the study of the formation of multielement electrochemical preconcentrates and ...analytical signals on modified working electrodes, performed by stripping voltammetry. The development of instrumental and methodological support for determining a number of elements resulted in new approaches and techniques that significantly increased the efficiency of the analysis and expanded its scope.
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