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Fluctuation scaling limits for positive recurrent jumping-in diffusions with small jumps

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For positive recurrent jumping-in diffusions with small jumps, we establish distributional limits of the fluctuations of inverse local times and occupation times. For this purpose, we introduce and utilize eigenfunctions… Click to show full abstract

For positive recurrent jumping-in diffusions with small jumps, we establish distributional limits of the fluctuations of inverse local times and occupation times. For this purpose, we introduce and utilize eigenfunctions with modified Neumann boundary condition and apply the Krein-Kotani correspondence.

Keywords: recurrent jumping; small jumps; positive recurrent; jumping diffusions; diffusions small

Journal Title: Journal of Functional Analysis
Year Published: 2020

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