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Crossing estimates for symmetric Markov processes
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  • Published: May 2001

Crossing estimates for symmetric Markov processes

  • Z.-Q. Chen1,
  • P.J. Fitzsimmons2 &
  • R. Song3 

Probability Theory and Related Fields volume 120, pages 68–84 (2001)Cite this article

  • 102 Accesses

  • 5 Citations

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Abstract.

A crossing estimate is established for symmetric Markov processes on general state spaces.

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Authors and Affiliations

  1. Department of Mathematics, Box 354350, University of Washington, Seattle, WA98195, USA. e-mail: zchen@math.washington.edu, , , , , , US

    Z.-Q. Chen

  2. Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0112, USA. e-mail: pfitz@euclid.ucsd.edu, , , , , , US

    P.J. Fitzsimmons

  3. Department of Mathematics, University of Illinois, Urbana, IL 61801, USA. e-mail: rsong@math.uiuc.edu, , , , , , US

    R. Song

Authors
  1. Z.-Q. Chen
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  2. P.J. Fitzsimmons
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  3. R. Song
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Additional information

Received: 20 May 1999 / Revised version: 30 August 2000 / Published online: 9 March 2001

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Chen, ZQ., Fitzsimmons, P. & Song, R. Crossing estimates for symmetric Markov processes. Probab Theory Relat Fields 120, 68–84 (2001). https://doi.org/10.1007/PL00008776

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  • Issue Date: May 2001

  • DOI: https://doi.org/10.1007/PL00008776

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  • Mathematics Subject Classification (2000): Primary 31C25; Secondary 60J45
  • Key words or phrases: Crossing estimate – Dirichlet form – Reflected Dirichlet space – Resurrected form – Harmonic function – Martingale
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