Connecting Statistics, Probability, Algebra and Discrete Mathematics
Fernando L\'opez-Bl\'azquez, Juan N\'u\~nez-Vald\'es, Silvia, Recacha, Mar\'ia Trinidad Villar-Li\~n\'an
TL;DR
This paper explores the interconnections between Statistics, Probability, Algebra, and Discrete Mathematics, introducing new results on Markov chains and evolution algebras using directed graphs to facilitate their analysis.
Contribution
It presents novel insights into Markov chains and evolution algebras by leveraging directed graphs, enhancing understanding across these mathematical disciplines.
Findings
New results on Markov chains and evolution algebras
Use of directed graphs to study mathematical objects
Interdisciplinary connections between four branches of mathematics
Abstract
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.
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Taxonomy
TopicsData Management and Algorithms · Bayesian Modeling and Causal Inference · Algorithms and Data Compression