Universal hypothesis of autocorrelation function from Krylov complexity [PDF]
Quantum Frontiers, 2023 In a quantum many-body system, autocorrelation functions can determine linear responses nearby equilibrium and quantum dynamics far from equilibrium.
Ren Zhang, Hui Zhai
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On the Autocorrelation Function of 1/f Noises [PDF]
Mathematics, 2022 The outputs of many real-world complex dynamical systems are time series characterized by power-law correlations and fractal properties. The first proposed model for such time series comprised fractional Gaussian noise (fGn), defined by an ...
Pedro Carpena, Ana V. Coronado
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An analytical process of spatial autocorrelation functions based on Moran's index. [PDF]
PLoS ONE, 2021 A number of spatial statistic measurements such as Moran's I and Geary's C can be used for spatial autocorrelation analysis. Spatial autocorrelation modeling proceeded from the 1-dimension autocorrelation of time series analysis, with time lag replaced ...
Yanguang Chen
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Linear Prediction Using Refined Autocorrelation Function
EURASIP Journal on Audio, Speech, and Music Processing, 2007 This paper proposes a new technique for improving the performance of linear prediction analysis by utilizing a refined version of the autocorrelation function.
Shimamura Tetsuya, Rahman M Shahidur
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Compressive estimation of a stochastic process with unknown autocorrelation function [PDF]
, 2017 In this paper, we study the prediction of a circularly symmetric zero-mean stationary Gaussian process from a window of observations consisting of finitely many samples.
Mahdi Barzegar Khalilsarai +3 more
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Estimation of phonon relaxation time for silicon by means of using the velocity autocorrelation function of atoms in molecular dynamics [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 Results of the ab initio molecular dynamics calculations of silicon crystals are presented by means of analysis of the velocity autocorrelation function and determination of mean phonon relaxation time.
B. Andriyevsky +6 more
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On the effect of the ionizing background on the Lyα forest autocorrelation function [PDF]
, 2014 An analytical framework is presented to understand the effects of a fluctuating intensity of the cosmic ionising background on the correlations of the Ly{\alpha} forest transmission fraction measured in quasar spectra.
Satya Gontcho A Gontcho +2 more
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The autocorrelation of the Möbius function and Chowla's conjecture for the rational function field in characteristic 2 [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2012 We prove a function field version of Chowla's conjecture on the autocorrelation of the Möbius function in the limit of a large finite field of characteristic 2, extending previous work in odd characteristic.
Dan Carmon
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Yarn-Dyed Fabric Defect Detection Based On Autocorrelation Function And GLCM
AUTEX Research Journal, 2015 In this study, a new detection algorithm for yarn-dyed fabric defect based on autocorrelation function and grey level co-occurrence matrix (GLCM) is put forward.
Zhu Dandan +3 more
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Velocity autocorrelation function of a Brownian particle
, 2011 In this article, we present molecular dynamics study of the velocity autocorrelation function (VACF) of a Brownian particle. We compare the results of the simulation with the exact analytic predictions for a compressible fluid from [T.S.
D. Chakraborty
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