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On the Empty Essential Spectrum for Markov Processes in Dimension One

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Abstract

This paper gives characterizations for diffusion processes on the line and birth–death processes whose generators admit the empty essential spectra. Some equivalent conditions for empty essential spectra for general Markov generators are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China

    Yong Hua Mao

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  1. Yong Hua Mao
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Correspondence to Yong Hua Mao.

Additional information

Research supported in part by RFDP (No. 2001002707), 973 Project, and NSFC (No. 10121101)

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Mao, Y.H. On the Empty Essential Spectrum for Markov Processes in Dimension One. Acta Math Sinica 22, 807–812 (2006). https://doi.org/10.1007/s10114-005-0587-4

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  • DOI: https://doi.org/10.1007/s10114-005-0587-4

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