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Titlebook: Evolution Algebras and their Applications; Jianjun Paul Tian Book 2008 Springer-Verlag Berlin Heidelberg 2008 Algebraic structure.Group th

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发表于 2025-3-21 17:53:12 | 显示全部楼层 |阅读模式
书目名称Evolution Algebras and their Applications
编辑Jianjun Paul Tian
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Evolution Algebras and their Applications;  Jianjun Paul Tian Book 2008 Springer-Verlag Berlin Heidelberg 2008 Algebraic structure.Group th
描述.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..
出版日期Book 2008
关键词Algebraic structure; Group theory; Lie algebra; Probability theory; algebra; biology; genetics; theory of e
版次1
doihttps://doi.org/10.1007/978-3-540-74284-5
isbn_softcover978-3-540-74283-8
isbn_ebook978-3-540-74284-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2008
The information of publication is updating

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0075-8434 his 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..978-3-540-74283-8978-3-540-74284-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Financial Planning and Forecastingcal transitory and stability, respectively. Coexistence of triplasmy in tissues of patients with sporadic mitochondrial disorders is studied as well. In section 4, we apply evolution algebra theory to the study of asexual progenies of ., an important agricultural pathogen.
发表于 2025-3-22 20:35:26 | 显示全部楼层
Evolution Algebras,s a norm to an evolution algebra. In Section 4, we introduce the concepts of periodicity, algebraic persistency, and algebraic transiency. In the last section, we obtain the hierarchy of an evolution algebra. For illustration, there are examples in each section.
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Evolution Algebras and Non-Mendelian Genetics,cal transitory and stability, respectively. Coexistence of triplasmy in tissues of patients with sporadic mitochondrial disorders is studied as well. In section 4, we apply evolution algebra theory to the study of asexual progenies of ., an important agricultural pathogen.
发表于 2025-3-23 04:52:33 | 显示全部楼层
Evolution Algebras and Markov Chains,f dynamical systems, have a hidden algebraic aspect. In first three sections of this chapter we study the relations between Markov chains and evolution algebras. In the last section, the hierarchy of a general Markov chain is revealed naturally by its evolution algebra.
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