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Probability Theory and Related Fields

, Volume 120, Issue 1, pp 68–84 | Cite as

Crossing estimates for symmetric Markov processes

  • Z.-Q. Chen
  • P.J. Fitzsimmons
  • R. Song

Abstract.

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

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Z.-Q. Chen
    • 1
  • P.J. Fitzsimmons
    • 2
  • R. Song
    • 3
  1. 1.Department of Mathematics, Box 354350, University of Washington, Seattle, WA98195, USA. e-mail: zchen@math.washington.eduUS
  2. 2.Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0112, USA. e-mail: pfitz@euclid.ucsd.eduUS
  3. 3.Department of Mathematics, University of Illinois, Urbana, IL 61801, USA. e-mail: rsong@math.uiuc.eduUS

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