Journal article · January 2021
Strongly Super-Poisson Statistics Replaced by a Wide-Pulse Poisson Process: The Billiard Random Generator
Chaos, Solitons and Fractals 153 (2021) · doi:10.1016/j.chaos.2021.111451
Abstract
In this paper we present a study on random processes consisting of delta pulses characterized by strongly super-Poisson statistics and calculate its spectral density. We suggest a method for replacing a strongly super-Poisson process with a wide-pulse Poisson process, while demonstrating that these two processes can be set in such a way to have similar spectral densities, the same mean values, and the same correlation times. We also present a billiard system that can be used to generate random pulse noise of arbitrary statistical properties. The particle dynamics is considered in terms of delta and wide pulses simultaneously. The results of numerical experiments with the billiard system are in a good agreement with the analytical findings. o̧pyright 2021 Elsevier Ltd
Cite
@article{chichigina2021,
arxiv = {not in arxiv},
author = {Chichigina, Olga A. and Valenti, Davide},
author_keywords = {Billiard-like systems; Fluctuation phenomena; Hardware random number generator; Renewal process; Stochastic processes; Super-Poisson statistics},
doi = {10.1016/j.chaos.2021.111451},
issn = {09600779},
journal = {Chaos, Solitons and Fractals},
keywords = {Number theory,Random number generation,Random processes},
title = {Strongly Super-Poisson Statistics Replaced by a Wide-Pulse Poisson Process: The Billiard Random Generator},
volume = {153},
year = {2021}
}