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The favorite point of a Poisson process

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Publication:1890712
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DOI10.1016/0304-4149(94)00077-7zbMath0824.60042OpenAlexW2053199520MaRDI QIDQ1890712

Thomas M. Lewis, Davar Khoshnevisan

Publication date: 23 May 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)00077-7


zbMATH Keywords

Dirichlet processPoisson processoccupation timelaw of iterated logarithmmost visited site


Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items

The rate of escape of the most visited site of Brownian motion ⋮ Favourite sites of transient Brownian motion



Cites Work

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  • A theorem of Feller revisited
  • The asymptotic behavior of spacings under Kakutani's model for interval subdivision
  • General one-sided laws of the iterated logarithm
  • The most visited site of Brownian motion and simple random walk
  • Entropy and maximal spacings for random partitions
  • Association of Random Variables, with Applications
  • A note on the Borel-Cantelli lemma
  • On the law of the iterated logarithm
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