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Moment Bounds for a Generalized Anderson Model with Gaussian Noise Rough in Space

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  • Junfeng Liu

    (Nanjing Audit University)

Abstract

In this article, we study a generalized Anderson model driven by Gaussian noise which is white/colored in time and has the covariance of a fractional Brownian motion with Hurst index $$H

Suggested Citation

  • Junfeng Liu, 2023. "Moment Bounds for a Generalized Anderson Model with Gaussian Noise Rough in Space," Journal of Theoretical Probability, Springer, vol. 36(1), pages 167-200, March.
    • Handle: RePEc:spr:jotpro:v:36:y:2023:i:1:d:10.1007_s10959-022-01175-z
    DOI: 10.1007/s10959-022-01175-z
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    References listed on IDEAS

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    1. Raluca M. Balan & Le Chen, 2018. "Parabolic Anderson Model with Space-Time Homogeneous Gaussian Noise and Rough Initial Condition," Journal of Theoretical Probability, Springer, vol. 31(4), pages 2216-2265, December.
    2. Debbi, Latifa & Dozzi, Marco, 2005. "On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension," Stochastic Processes and their Applications, Elsevier, vol. 115(11), pages 1764-1781, November.
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