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- W2902772161 abstract "Abstract In this paper we develop renewal theorems for point processes with interarrival times ξ( X n +1 X n …), where ( X n ) n ∈ℤ is a stochastic process with finite state space Σ and ξ:Σ A →ℝ is a Hölder continuous function on a subset Σ A ⊂Σ ℕ . The theorems developed here unify and generalise the key renewal theorem for discrete measures and Lalley's renewal theorem for counting measures in symbolic dynamics. Moreover, they capture aspects of Markov renewal theory. The new renewal theorems allow for direct applications to problems in fractal and hyperbolic geometry, for instance to the problem of Minkowski measurability of self-conformal sets." @default.
- W2902772161 created "2018-12-11" @default.
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- W2902772161 date "2018-11-29" @default.
- W2902772161 modified "2023-09-25" @default.
- W2902772161 title "Renewal theorems for processes with dependent interarrival times" @default.
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- W2902772161 doi "https://doi.org/10.1017/apr.2018.56" @default.
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