On the algebra of equal-input matrices in time-inhomogeneous Markov flows

被引：0

作者：

Baake, Michael ^{[1
]}

Sumner, Jeremy ^{[2
]}

机构：

[1] Univ Bielefeld, Fak Math, Postfach 10 01 31, D-33501 Bielefeld, Germany

[2] Univ Tasmania, Sch Nat Sci, Discipline Math, Private Bag 37, Hobart, Tas 7001, Australia

来源：

DOCUMENTA MATHEMATICA | 2025年 / 30卷

关键词：

Markov matrices and generators; matrix algebras; embedding problem;

D O I：

10.4171/DM/997

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Markov matrices of equal-input type constitute a widely used model class. The corresponding equal-input generators span an interesting subalgebra of the real matrices with zero row sums. Here, we summarise some of their amazing properties and discuss the corresponding Markov embedding problem, both homogeneous and inhomogeneous in time. In particular, we derive exact and explicit solutions for time-inhomogeneous Markov flows with non-commuting generator families of equal-input type and beyond.

引用

页码：455 / 474

页数：20

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