https://doi.org/10.1140/epjc/s10052-022-10098-2
Regular Article - Theoretical Physics
Correlation integral vs. second order factorial moments and an efficient computational technique
Nuclear and Particle Physics Section, Faculty of Physics, University of Athens, 15784, Athens, Greece
Received:
28
September
2021
Accepted:
7
February
2022
Published online:
7
March
2022
We develop a mapping between the factorial moments of the second order 
and the correlation integral C. We formulate a fast computation technique for the evaluation of both, which is more efficient, compared to conventional methods, for data containing number of pairs per event which is lower than the estimation points. We find the effectiveness of the technique to be more prominent as the dimension of the embedding space increases. We are able to analyse large amount of data in short computation time and access very low scales in C or extremely high partitions in . The technique is an indispensable tool for detecting a very weak signal hidden in strong noise.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjc/s10052-022-10098-2.
© The Author(s) 2022
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