ON MARKOV CHAINS AND THE SPECTRA OF THE CORRESPONDING FROBENIUS–PERRON OPERATORS

DOI10.1142/S0219493701000266zbMath1039.60038OpenAlexW2138900442MaRDI QIDQ4460431

Tobias Gayer

Publication date: 18 May 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493701000266

zbMATH Keywords

ergodicityFrobenius-Perron operatorinvariant measureMarkov chainperipheral spectrumalmost invariance

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Positive linear operators and order-bounded operators (47B65) Foundations of stochastic processes (60G05)

Related Items (2)

Near invariance and local transience for random diffeomorphisms ⋮ Bifurcations of stationary measures of random diffeomorphisms

Cites Work

• Recurrence and invariant measures for degenerate diffusions
• Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains
• Metastable States of Symmetric Markov Semigroups I
• On the Approximation of Complicated Dynamical Behavior

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