Renewal theory for transient Markov chains with asymptotically zero drift
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Publication:5125063
DOI10.1090/tran/8167zbMath1454.60136arXiv1907.07940OpenAlexW3015571589MaRDI QIDQ5125063
Vitali Wachtel, Denis Denisov, Dmitrii Korshunov
Publication date: 1 October 2020
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07940
Martingales with discrete parameter (60G42) Discrete-time Markov processes on general state spaces (60J05) Renewal theory (60K05)
Related Items (3)
Strong transience for one-dimensional Markov chains with asymptotically zero drifts ⋮ Stochastic processes under constraints. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ On supercritical branching processes with emigration
Cites Work
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- Excursions and local limit theorems for Bessel-like random walks
- Markov chains and stochastic stability
- Criteria for the recurrence or transience of stochastic process. I
- Renewal theory for functionals of a Markov chain with general state space
- Marches aléatoires sur les groupes de Lie
- On local limit theorems and Blackwell's renewal theorem for independent random variables
- Limit theorems for semi-Markov processes and renewal theory for Markov chains
- Renewal theory for functionals of a Markov chain with compact state space.
- Markov processes with asymptotically zero drifts
- On conditioning a random walk to stay nonnegative
- Multidimensional renewal theory in the non-centered case: application to strongly ergodic Markov chains
- Local large deviations and the strong renewal theorem
- Potential analysis for positive recurrent Markov chains with asymptotically zero drift: power-type asymptotics
- On the existence of a regularly varying majorant of an integrable monotone function
- The key renewal theorem for a transient Markov chain
- Criteria for stochastic processes. II: Passage-time moments
- A discrete renewal theorem with infinite mean
- Strong renewal theorems and local large deviations for multivariate random walks and renewals
- Extension of a renewal theorem
- Non-homogeneous Random Walks
- Green function behaviour of critical Galton-Watson processes with immigration
- Asymptotics of Renewal Functions
- Some Renewal Theorems for Non-Negative Independent Random Variables
- A Local Limit Theorem for a Certain Class of Random Walks
- An Analogue of the Renewal Theorem in Higher Dimensions
- Strong Renewal Theorems with Infinite Mean
- Further results on the critical Galton-Watson process with immigration
- A property of power series with positive coefficients
- A renewal theorem
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