Evolution algebras and their applications / / Jianjun Paul Tian

• Autore: Tian Jianjun Paul
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer, , [2008]; ©2008
• Edizione: 1st ed. 2008.
• Descrizione fisica: 1 online resource (XI, 133 p.)
• Disciplina: 512.554
• Soggetto topico: Phytophthora infestans - Genetics; Stochastic processes; Nonassociative algebras; Markov processes; Genetic algebras; Banach algebras; Algebra
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (pages [119]-121) and index.
• Nota di contenuto: Motivations -- Evolution Algebras -- Evolution Algebras and Markov Chains -- Evolution Algebras and Non-Mendelian Genetics -- Further Results and Research Topics.
• Sommario/riassunto: Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.
• Titolo autorizzato: Evolution algebras and their applications
• ISBN: 3-540-74284-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484040503321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1921.