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Limit Theorems for Local and Occupation Times of Random Walks and Brownian Motion on a Spider

Author

Listed:
  • Endre Csáki

    (Hungarian Academy of Sciences)

  • Miklós Csörgő

    (Carleton University)

  • Antónia Földes

    (CUNY)

  • Pál Révész

    (Technische Universität Wien)

Abstract

A simple random walk and a Brownian motion are considered on a spider that is a collection of half lines (we call them legs) joined at the origin. We give a strong approximation of these two objects and their local times. For fixed number of legs, we establish limit theorems for n-step local and occupation times.

Suggested Citation

  • Endre Csáki & Miklós Csörgő & Antónia Földes & Pál Révész, 2019. "Limit Theorems for Local and Occupation Times of Random Walks and Brownian Motion on a Spider," Journal of Theoretical Probability, Springer, vol. 32(1), pages 330-352, March.
    • Handle: RePEc:spr:jotpro:v:32:y:2019:i:1:d:10.1007_s10959-017-0788-7
    DOI: 10.1007/s10959-017-0788-7
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    References listed on IDEAS

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    1. Yuko Yano, 2017. "On the Joint Law of the Occupation Times for a Diffusion Process on Multiray," Journal of Theoretical Probability, Springer, vol. 30(2), pages 490-509, June.
    2. Alexander Gairat & Vadim Shcherbakov, 2017. "Density Of Skew Brownian Motion And Its Functionals With Application In Finance," Mathematical Finance, Wiley Blackwell, vol. 27(4), pages 1069-1088, October.
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