Markov evolution algebras

被引：8

作者：

Paniello, Irene ^{[1
]}

机构：

[1] Univ Publ Navarra, Dept Estadist Informat & Matemat, Pamplona, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 19期

关键词：

Markov evolution algebra; stochastic semigroup; continuous-time evolution algebra;

D O I：

10.1080/03081087.2021.1893636

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Markov evolution algebras, that is, evolution algebras having Markov structure matrices. We first consider the discrete-time case, and delve into their algebraic structure for later application to continuous-time Markov evolution algebras that arise defined by standard stochastic semigroups. The study of embeddable Markov evolution algebras, that is, of Markov evolution algebras with structure matrices existing within standard stochastic semigroups is then equivalent to the embedding problem for Markov matrices.

引用

页码：4633 / 4653

页数：21

共 26 条

[1]

Allen LJ, 2010, INTRO STOCHASTIC PRO, DOI 10.1201/b12537

[2] Notes on Markov embedding [J].

Baake, Michael ;

Sumner, Jeremy .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 594 :262-299

[3]

Bremaud P., 1999, TEXT APPL M, DOI 10.1007/978-1-4757-3124-8

[4]

CABRERA Y, 2016, LINEAR ALGEBRA APPL, V495, P122, DOI DOI 10.1016/j.laa.2016.01.007

[5]

Cabrera Y., 2019, LINEAR ALGEBRA APPL, V570, P122

[6] The connection between evolution algebras, random walks and graphs [J].

Cadavid, Paula ;

Rodino Montoya, Mary Luz ;

Rodriguez, Pablo M. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (02)

[7] The derivations of some evolution algebras [J].

Camacho, L. M. ;

Gomez, J. R. ;

Omirov, B. A. ;

Turdibaev, R. M. .

LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (03) :309-322

[8] Embeddability and rate identifiability of Kimura 2-parameter matrices [J].

Casanellas, Marta ;

Fernandez-Sanchez, Jesus ;

Roca-Lacostena, Jordi .

JOURNAL OF MATHEMATICAL BIOLOGY, 2020, 80 (04) :995-1019

[9] Generating Markov evolutionary matrices for a given branch length [J].

Casanellas, Marta ;

Kedzierska, Anna M. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (05) :2484-2499

[10] On Evolution Algebras [J].

Casas, J. M. ;

Ladra, M. ;

Omirov, B. A. ;

Rozikov, U. A. .

ALGEBRA COLLOQUIUM, 2014, 21 (02) :331-342

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