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Ergodic-Type Limit Theorem for Fundamental Solutions of Critical Schrödinger Operators

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  • Masaki Wada

    (Fukushima University)

Abstract

Let $$\{X_t\}_{t \ge 0}$$ { X t } t ≥ 0 be the symmetric $$\alpha $$ α -stable process with generator $$H = (-\Delta )^{\alpha /2}$$ H = ( - Δ ) α / 2 for $$0

Suggested Citation

  • Masaki Wada, 2019. "Ergodic-Type Limit Theorem for Fundamental Solutions of Critical Schrödinger Operators," Journal of Theoretical Probability, Springer, vol. 32(1), pages 447-459, March.
    • Handle: RePEc:spr:jotpro:v:32:y:2019:i:1:d:10.1007_s10959-017-0793-x
    DOI: 10.1007/s10959-017-0793-x
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    References listed on IDEAS

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    1. Chen, Zhen-Qing & Kumagai, Takashi, 2003. "Heat kernel estimates for stable-like processes on d-sets," Stochastic Processes and their Applications, Elsevier, vol. 108(1), pages 27-62, November.
    2. Masayoshi Takeda & Masaki Wada, 2016. "Large time asymptotics of Feynman–Kac functionals for symmetric stable processes," Mathematische Nachrichten, Wiley Blackwell, vol. 289(16), pages 2069-2082, November.
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    Cited by:

    1. Masaki Wada, 2021. "Asymptotic Behavior of the Fundamental Solutions for Critical Schrödinger Forms," Journal of Theoretical Probability, Springer, vol. 34(4), pages 1951-1958, December.

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