CONNECTING STATISTICS, PROBABILITY, ALGEBRA AND DISCRETE MATHEMATICS

In this paper, we connect four different branches of Mathematics: Statistics, Probability, Algebra and Discrete Mathematics with the objective of introducing new results on Markov chains and evolution algebras obtained by following a relatively new line of research, already dealt with by several aut...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 2; p. 862
Main Authors Lopez-Blazquez, F, Nunez-Valdes, J, Recacha, S, Villar-Linan, M.T
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.04.2024
Subjects
Algebra
Markov processes
Statistics
Iran
Spain
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ISSN2146-1147

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Summary:In this paper, we connect four different branches of Mathematics: Statistics, Probability, Algebra and Discrete Mathematics with the objective of introducing new results on Markov chains and evolution algebras obtained by following a relatively new line of research, already dealt with by several authors. It consists of the use of certain directed graphs to facilitate the study of Markov chains and evolution algebras, as well as to use each of the three objects to make easier the study of the other two. The results obtained can be useful, in turn, to link different scientific disciplines, such as Physics, Engineering and Mathematics, in which evolution algebras are considered very interesting tools. Keywords: Evolution algebras; directed graphs; Markov chains; mathematical modellings. AMS Subject Classification: 17D99; 05C20; 60J10; 60J25.
ISSN:2146-1147