A renewal theorem for strongly ergodic Markov chains in dimension \(d \geq 3\) and centered case

DOI10.1007/s11118-010-9200-2zbMath1218.60062arXiv1009.5916OpenAlexW2140166784MaRDI QIDQ535196

Loïc Hervé, Denis Guibourg

Publication date: 11 May 2011

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5916

zbMATH Keywords

Markov chainsspectral methodrenewal theoremFourier transform methods

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Renewal theory (60K05)

Related Items (4)

Multidimensional renewal theory in the non-centered case: application to strongly ergodic Markov chains ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ Renewal theorem for strongly ergodic Markov chains : application to Lipschitz iterative models ⋮ Limit theorems for stationary Markov processes with \(L^{2}\)-spectral gap

Cites Work

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• Characterization of weak convergence of Birkhoff sums for Gibbs-Markov maps
• Markov chains and stochastic stability
• Limit theorems in the stadium billiard
• Local theorem for Markov chains with quasicompact transition probability. Applications to \(V\)-geometrically ergodic chains and iterative models
• Théorie du renouvellement pour des chaînes semi-markoviennes transientes. (Renewal theory for transient semi-Markov chains)
• Central limit theorems for iterated random Lipschitz mappings.
• Renewal theorem for strongly ergodic Markov chains : application to Lipschitz iterative models
• Asymptotic expansions in multidimensional Markov renewal theory and first passage times for Markov random walks
• The Nagaev-Guivarc’h method via the Keller-Liverani theorem
• Banach spaces adapted to Anosov systems
• On spectral properties of a family of transfer operators and convergence to stable laws for affine random walks
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness

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