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Renewal theorems for a class of processe...

Kombrink, Sabrina...

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Renewal theorems for a class of processes with dependent interarrival times and applications in geometry by Kombrink, Sabrina ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	28-12-2015
Summary	Renewal theorems are developed for point processes with interarrival times Wn=ξ(Xn+1Xn⋯), where (Xn)n∈Z is a stochastic process with finite state space Σ and ξ:ΣA→R is a Hölder continuous function on a subset ΣA⊂ΣN. 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, results on the Minkowski measurability of self-conformal sets are deduced. Indeed, these geometric problems motivated the development of the renewal theorems.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1512.08351

Citation

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AMA 11th EditionReferences

Kombrink, Sabrina. Renewal theorems for a class of processes with dependent interarrival times and applications in geometry. N.A. December 28, 2015. Accessed August 08, 2025. https://online.provdatabase.com/cite/22713

APA 7th EditionReferences

Kombrink, Sabrina. (2015). Renewal theorems for a class of processes with dependent interarrival times and applications in geometry. N.A. https://online.provdatabase.com/cite/22713

Chicago 17th EditionReferences

Kombrink, Sabrina. Renewal theorems for a class of processes with dependent interarrival times and applications in geometry. N.A. 2015. https://online.provdatabase.com/cite/22713

HarvardReferences

Kombrink, Sabrina. (2015). Renewal theorems for a class of processes with dependent interarrival times and applications in geometry. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22713. (Accessed 08 August 2025).

Harvard AustraliaReferences

Kombrink, Sabrina, 2015, Renewal theorems for a class of processes with dependent interarrival times and applications in geometry, N.A, viewed 08 August 2025, <https://online.provdatabase.com/cite/22713>

MLA 9th EditionWorks Cited

Kombrink, Sabrina. Renewal theorems for a class of processes with dependent interarrival times and applications in geometry. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/22713.

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