On equal-input and monotone Markov matrices

DOI10.1017/apr.2021.39zbMath1492.60215arXiv2007.11433OpenAlexW3045322534WikidataQ114119644 ScholiaQ114119644MaRDI QIDQ5084792

Jeremy G. Sumner, Michael Baake

Publication date: 28 June 2022

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11433

zbMATH Keywords

convexityembedding problemMarkov matrixmonotone partial order

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (2)

The embedding problem for Markov matrices ⋮ On monotone Markov chains and properties of monotone matrix roots

Uses Software

• mctoolbox
• OEIS
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Cites Work

• On \(p\)th roots of stochastic matrices
• Embeddable Markov matrices
• Monotone matrices and monotone Markov processes
• Matrix exponentials and inversion of confluent Vandermonde matrices
• Lie Markov models
• Lie Markov models with purine/pyrimidine symmetry
• Embeddability and rate identifiability of Kimura 2-parameter matrices
• Notes on Markov embedding
• Phylogeny
• Probability Measures on Semigroups
• Monotone and associated Markov chains, with applications to reliability theory
• Markov Chains
• MULTIPLICATIVELY CLOSED MARKOV MODELS MUST FORM LIE ALGEBRAS
• Accuracy and Stability of Numerical Algorithms
• Sufficient embedding conditions for three-state discrete-time Markov chains with real eigenvalues
• Functions of Matrices
• On the Existence and Uniqueness of the Real Logarithm of a Matrix
• Stochastically monotone Markov Chains
• The imbedding problem for finite Markov chains
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