Stationary Probability Vectors of Higher-Order Two-Dimensional Symmetric Transition Probability Tensors

DOI10.1142/S0217595920400199zbMath1454.60117arXiv1802.10270OpenAlexW3081886937WikidataQ114073189 ScholiaQ114073189MaRDI QIDQ5149528

Liqun Qi, Zheng-Hai Huang

Publication date: 11 February 2021

Published in: Asia-Pacific Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10270

zbMATH Keywords

transition probability tensorstationary probability vectorhigher-order Markov chaineigenvalue of tensor

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Transition functions, generators and resolvents (60J35) Stochastic matrices (15B51)

Related Items (5)

Higher order ergodic Markov chains and first passage times ⋮ On classification of states in higher order Markov chains ⋮ Ever-reaching probabilities and mean first passage times of higher order ergodic Markov chains ⋮ Improved uniqueness conditions of solution for multilinear pagerank and its application ⋮ An SDP relaxation method for Perron pairs of a nonnegative tensor

Cites Work

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• On the uniqueness of the -eigenvector of transition probability tensors
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Estimation and Modelling Repeated Patterns in High Order Markov Chains with the Mixture Transition Distribution Model
• On the limiting probability distribution of a transition probability tensor

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