Asymptotically linear iterated function systems on the real line
DOI10.1214/22-aap1812zbMath1525.60090arXiv2102.02299OpenAlexW3126374253MaRDI QIDQ6103966
Gerold Alsmeyer, Sara Brofferio, Dariusz Buraczewski
Publication date: 5 June 2023
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.02299
tail behavioriterated function systemstationary distributionasymptotically linearMarkov renewal theory
Discrete-time Markov processes on general state spaces (60J05) Random operators and equations (aspects of stochastic analysis) (60H25) Markov renewal processes, semi-Markov processes (60K15) Renewal theory (60K05)
Cites Work
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- Spectral gap properties for linear random walks and Pareto's asymptotics for affine stochastic recursions
- A survey of max-type recursive distributional equations
- Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps
- A simple proof of heavy tail estimates for affine type Lipschitz recursions
- Implicit renewal theory and tails of solutions of random equations
- On the stationary tail index of iterated random Lipschitz functions
- Random difference equations and renewal theory for products of random matrices
- Renewal theory for functionals of a Markov chain with general state space
- Limit theorems for semi-Markov processes and renewal theory for Markov chains
- On the Markov renewal theorem
- Random logistic maps. I
- The tail of the stationary distribution of an autoregressive process with \(\text{ARCH}(1)\) errors
- On unbounded invariant measures of stochastic dynamical systems
- Stochastic Models with Power-Law Tails
- Tail behaviour of stationary solutions of random difference equations: the case of regular matrices
- On multidimensional Mandelbrot cascades
- Iterated Random Functions
- Componentwise different tail solutions for bivariate stochastic recurrence equations with application to ${\rm GARCH}(1,1)$ processes
- Ergodicity for Infinite Dimensional Systems
- Affine stochastic equation with triangular matrices
- Quasistochastic matrices and Markov renewal theory
- Tail of the stationary solution of the stochastic equation \(Y_{n+1}=a_{n} Y_{n}+b_{n}\) with Markovian coefficients
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