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Stochastic Variation of the Hubble's Parameter using Ornstein- Uhlenbeck Process

by Mary Chriselda A.
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 176 - Number 21
Year of Publication: 2020
Authors: Mary Chriselda A.
10.5120/ijca2020920162

Mary Chriselda A. . Stochastic Variation of the Hubble's Parameter using Ornstein- Uhlenbeck Process. International Journal of Computer Applications. 176, 21 ( May 2020), 8-13. DOI=10.5120/ijca2020920162

@article{ 10.5120/ijca2020920162,
author = { Mary Chriselda A. },
title = { Stochastic Variation of the Hubble's Parameter using Ornstein- Uhlenbeck Process },
journal = { International Journal of Computer Applications },
issue_date = { May 2020 },
volume = { 176 },
number = { 21 },
month = { May },
year = { 2020 },
issn = { 0975-8887 },
pages = { 8-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume176/number21/31321-2020920162/ },
doi = { 10.5120/ijca2020920162 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:43:06.561152+05:30
%A Mary Chriselda A.
%T Stochastic Variation of the Hubble's Parameter using Ornstein- Uhlenbeck Process
%J International Journal of Computer Applications
%@ 0975-8887
%V 176
%N 21
%P 8-13
%D 2020
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The premise of this paper proves that the constant value of the Hubble’s parameter tends to vary stochastically with time. By the use of Ornstein-Uhlenbeck process a stochastic differential equation has been formulated and solved using the Euler and the Kolmogorov Forward equations. We can further draw conclusion that the randomness in forces affecting the white noise can eventually affect the Hubble Parameter’s behavior leading to scale invariance and thereby causing stochastic fluctuations in the density and the rate of expansion of the Universe. This is further validated by simulating the observations using Python and R-software for validation of the premise postulated.[17]

References
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  17. Waset abstract selected for ICABS 2020
Index Terms

Computer Science
Information Sciences

Keywords

Hubble's Parameter Chapman Kolmogorov Forward Differential Equations Stochastic Differential Equations Ornstein-Uhlenbeck process Fourier Transformation