Predictive models for identification of parameters of seismic vibrations by applying the theory of covariance functions

Skeivalas, Jonas; Paršeliūnas, Eimuntas; Obuchovski, Romuald

doi:10.1007/s12648-019-01665-7

Cited by 2 publications

(3 citation statements)

References 24 publications

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“…Perhaps the most notable and thoroughly studied probe showing evidence of cosmological‐scale anisotropy and a cosmological‐scale axis is the cosmic microwave background (Abramo et al 2006; Ade et al 2014; Campanelli et al 2007; Cline et al 2003; Dong et al 2015; Eriksen et al 2004; Gordon & Hu 2004; Gruppuso et al 2018; Land & Magueijo 2005; Mariano & Perivolaropoulos 2013; Santos et al 2015; Yeung & Chu 2022; Zhe et al 2015). Other messengers that show cosmological anisotropy and possible axes in the large‐scale structure include radio sources (Ghosh et al 2016; Tiwari & Jain 2015; Tiwari & Nusser 2016), LX‐T scaling (Migkas et al 2020), short gamma ray bursts (Mészáros 2019), cosmological acceleration rates (Krishnan et al 2021; Migkas et al 2021; Perivolaropoulos 2014), galaxy morphology types (Javanmardi & Kroupa 2017), Ia supernova (Javanmardi et al 2015; Lin et al 2016), dark energy (Adhav 2011; Adhav et al 2011; Colin et al 2019; Perivolaropoulos 2014), fine structure constant (Webb et al 2011), galaxy motion (Skeivalas et al 2021),

H_{o}

(Luongo et al 2021), polarization of quasars (Hutsemékers et al 2005; Secrest et al 2021; Semenaite et al 2021; Zhao & Xia 2021), and high‐energy cosmic rays (Aab et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Large‐scale asymmetry in galaxy spin directions: Analysis of galaxies with spectra in DES, SDSS, and DESI Legacy Survey

Shamir

2022

Astron Nachr

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Multiple previous studies using several different probes have shown considerable evidence for the existence of cosmological‐scale anisotropy and a Hubble‐scale axis. One of the probes that show such evidence is the distribution of the directions toward which galaxies spin. The advantage of the analysis of the distribution of galaxy spin directions compared to the cosmic microwave background anisotropy is that the ratio of galaxy spin directions is a relative measurement, and therefore less sensitive to background contamination such as Milky Way obstruction. Another advantage is that many spiral galaxies have spectra, and therefore allow to analyze the location of such axis relative to Earth. This paper shows an analysis of the distribution of the spin directions of over 90K galaxies with spectra. That analysis is also compared to previous analyses using the Earth‐based Sloan Digital Sky Survey, Panoramic Survey Telescope and Rapid Response System, and Dark Energy Spectroscopic Instrument Legacy Survey, as well as space‐based data collected by Hubble Space Telescope. The results show very good agreement between the distribution patterns observed with the different telescopes. The dipole or quadrupole axes formed by the spin directions of the galaxies with spectra do not necessarily go directly through Earth.

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H_{o}

(Luongo et al 2021), polarization of quasars (Hutsemékers et al 2005; Secrest et al 2021; Semenaite et al 2021; Zhao & Xia 2021), and high‐energy cosmic rays (Aab et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Large‐scale asymmetry in galaxy spin directions: Analysis of galaxies with spectra in DES, SDSS, and DESI Legacy Survey

Shamir

2022

Astron Nachr

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“…Now, it is possible to calculate cross-covariance and autocovariance functions of the seismic vibrations as well as the shifts of the seismic vibrations, respectively, to each other by introducing the Doppler effect expression. Let us take the formula for the parameter z [76][77][78]:…”

Section: Modelling Of Seismic Vibrationsmentioning

confidence: 99%

“…By employing the theory of the covariance functions, it is possible to express the cross-covariance functions of the corresponding seismic vibrations vectors taking into account the fact that every vector of vibrations intensities could be treated as a random function as follows [77,79,80]:…”

Section: Modelling Of Seismic Vibrationsmentioning

confidence: 99%

On Analysis of Seismic Vibrations Data Applying Doppler Effect Expression

Skeivalas

Paršeliūnas

Obuchovski

et al. 2021

Advances in Civil Engineering

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In the paper, a possibility to develop the digital models of the seismic vibrations parameters is analyzed. To reach this goal, the observations at seismic station LUWI (Indonesia) were processed applying the statistical procedures. In fact, the biggest attention was given to the introduction of the Doppler effect expression and the employment of the theory of covariance functions. The trend in vectors of vibrations intensities values was detected and estimated upon using the least-squares method and polynomial approximation. In addition, by this technique, the random errors were eliminated partially. The self-developed computer programs based on Matlab programming package procedures were applied.

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Predictive models for identification of parameters of seismic vibrations by applying the theory of covariance functions

Cited by 2 publications

References 24 publications

Large‐scale asymmetry in galaxy spin directions: Analysis of galaxies with spectra in DES, SDSS, and DESI Legacy Survey

Large‐scale asymmetry in galaxy spin directions: Analysis of galaxies with spectra in DES, SDSS, and DESI Legacy Survey

On Analysis of Seismic Vibrations Data Applying Doppler Effect Expression

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