2020/01/19 by Fan Wang, David Steinsaltz, Wang, Fan +1
Computer Science · Mathematics · #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #Matrix Theory and Algorithms #Probability (math.PR) #Random Matrices and Applications #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2001.06865
openalex publication_date 2020/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we consider the Markovian products of invertible (not\nnecessarily positive) matrices chosen from a strongly irreducible, contracting,\nfinite set of matrices. We construct Markovian transfer operators and prove the\nspectral property which draws a connection between the top Lyapunov exponent\nassociated to the random matrix product problem and the spectrum of the\ncorresponding Markovian transfer operator.\n