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Large deviations and renormalization for Riesz potentials of stable intersection measures

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  • Chen, Xia
  • Rosen, Jay

Abstract

We study the object formally defined as where Xt denotes the symmetric stable processes of index 0

Suggested Citation

  • Chen, Xia & Rosen, Jay, 2010. "Large deviations and renormalization for Riesz potentials of stable intersection measures," Stochastic Processes and their Applications, Elsevier, vol. 120(9), pages 1837-1878, August.
    • Handle: RePEc:eee:spapps:v:120:y:2010:i:9:p:1837-1878
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    References listed on IDEAS

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    1. Khoshnevisan, Davar & Lewis, Thomas M., 1998. "A law of the iterated logarithm for stable processes in random scenery," Stochastic Processes and their Applications, Elsevier, vol. 74(1), pages 89-121, May.
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    Cited by:

    1. Yan, Litan & Yu, Xianye & Sun, Xichao, 2016. "Asymptotic behavior of the solution of the fractional heat equation," Statistics & Probability Letters, Elsevier, vol. 117(C), pages 54-61.
    2. Litan Yan & Xianye Yu, 2019. "Asymptotic Behavior for High Moments of the Fractional Heat Equation with Fractional Noise," Journal of Theoretical Probability, Springer, vol. 32(4), pages 1617-1646, December.
    3. Matsuda, Toyomu, 2022. "Integrated density of states of the Anderson Hamiltonian with two-dimensional white noise," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 91-127.

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