{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":24,"n_cols":5,"rows_kept":24,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[10,2,10,3],[17,2,17,3],[18,2,18,3],[22,2,22,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910484040503321"]
[null,null,"Autore",null,"Tian Jianjun Paul"]
[null,null,"Titolo",null,"Evolution algebras and their applications / / Jianjun Paul Tian"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany ; ; New York, New York : , : Springer, , [2008]"]
[{"$nulls":4},"©2008"]
[null,null,"ISBN",null,"3-540-74284-0"]
[null,null,"Edizione",null,"[1st ed. 2008.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XI, 133 p.)"]
[null,null,"Collana",null,"Lecture notes in mathematics ; ; 1921"]
[null,null,"Disciplina",null,"512.554"]
[null,null,"Soggetti",null,"Phytophthora infestans - Genetics"]
[{"$nulls":4},"Stochastic processes"]
[{"$nulls":4},"Nonassociative algebras"]
[{"$nulls":4},"Markov processes"]
[{"$nulls":4},"Genetic algebras"]
[{"$nulls":4},"Banach algebras"]
[{"$nulls":4},"Algebra"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [119]-121) and index."]
[null,null,"Nota di contenuto",null,"Motivations -- Evolution Algebras -- Evolution Algebras and Markov Chains -- Evolution Algebras and Non-Mendelian Genetics -- Further Results and Research Topics."]
[null,null,null,"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."]