Incomplete fractal showers and restoration of dimension

Tatiana Dedovich; Mikhail Tokarev

doi:10.1051/epjconf/201920406003

EPJ

a
b
d
e
ap
st
h
plus

Proceedings

Open Access

EPJ Web of Conferences 204, 06003 (2019)
https://doi.org/10.1051/epjconf/201920406003

Incomplete fractal showers and restoration of dimension

Tatiana Dedovich^* and Mikhail Tokarev^**

Joint Institute for Nuclear Research, 141980 Dubna, Russia

^* e-mail: tdedovich@yandex.ru
^** e-mail: tokarev@jinr.ru

Published online: 3 April 2019

Abstract

The S ePaC and BC methods are used in the fractal analysis of mixed events containing incomplete fractals. The reconstruction of the event distribution by the dimension D_F is studied. The procedures of analyzing incomplete fractals and correcting the determination of D_F of combined fractals by the SePaC method are proposed. We find that the S ePaC method fully reconstructs incomplete fractals and suppresses background, the separation of the incomplete fractals and the background by the BC method depends on the basis of the formation of the fractal, and the distribution of events by the value of D_F is more accurately reconstructed with the S ePaC method in comparison with the BC method.

© The Authors, published by EDP Sciences, 2019

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.