Utilization of Fractal Geometry Possibilities for Information Systems Security

Blahova, Marta; Mikulicova, Michaela; Hromada, Martin

doi:10.2507/31st.daaam.proceedings.085

DAAAM Proceedings

2020

DOI: 10.2507/31st.daaam.proceedings.085

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Utilization of Fractal Geometry Possibilities for Information Systems Security

Marta Blahova¹,

Michaela Mikulicova²,

Martin Hromada³

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2023

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“…There are sharply differentiated opinions regarding the appropriate analysis method of interrupted phenomena in mathematics to study interruption. Additional methods include crash theory, chaos theory, fractal geometry [68], synergistic theory [69], self-organizing criticality [70], rotating glass theory, and emerging complexity [71].…”

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Mathematical Approaches Transform Cybersecurity from Protoscience to Science

et al. 2023

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The area of cybersecurity problems has reached the stage of becoming a science. This raises questions about the connection between the mathematical theories used in cybersecurity research and their relation to the methodology for experiments and conceptual models synthesized from the academic community. This research proposes an analytical review of the mathematical ideas used in applied cyber-security and theoretical explorations. This meta viewpoint is dedicated to standard mathematical theories applied in cybersecurity issues. The ground of the work is methodological problems relating to the validation of experiments and models with mathematical ideas in the cybersecurity exploration of digital space. This research emphasizes the application of game theory, catastrophe theory, queuing systems, and Markov chains. The methods are shown without claiming to be exhaustive. The goal is to review the currently established implementation of mathematical approaches to cybersecurity. A spectrum of possibilities for applying mathematical apparatus in future research for cybersecurity is given. After a review of the literature for each presented mathematical approach, we expose a list of problematic areas in which this has already been implemented.

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Mathematical Approaches Transform Cybersecurity from Protoscience to Science

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Utilization of Fractal Geometry Possibilities for Information Systems Security

Cited by 1 publication

References 0 publications

Mathematical Approaches Transform Cybersecurity from Protoscience to Science

Mathematical Approaches Transform Cybersecurity from Protoscience to Science

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