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On the recurrence of some time inhomogeneous Markov processes
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Yoichi Oshima
Published/Copyright:
March 2, 2009
Abstract
We introduce the notions of weak and strong sense recurrence of time inhomogeneous Markov processes and give general criteria for them. These notions of recurrence are invariant under certain time changes but the Dirichlet forms are not stable under time changes in general. We shall apply the general criterion for the strong recurrence to time inhomogeneous diffusion processes obtained by certain drift transformations of recurrent diffusion processes as well as the processes obtained by time change of Brownian motions.
Received: 1996-06-26
Revised: 1997-03-17
Published Online: 2009-03-02
Published in Print: 1998-01-20
© Walter de Gruyter
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The Lasker-Noether theorem for
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- Contents
- Forum Mathematicum
- The Lasker-Noether theorem for P* - variant ideals
- Atomic decompositions on manifolds with bounded geometry
- Algebraic interpretations of the spectral controllability of a linear delay system
- The length-problem for Eichler-transformations
- On the scattering matrix for the Eisenstein series for the Hecke congruence groups
- Large deviation rule for Anosov flows
- On the recurrence of some time inhomogeneous Markov processes
- Editors
Articles in the same Issue
-
The Lasker-Noether theorem for
*-invariant ideals - Atomic decompositions on manifolds with bounded geometry
- Algebraic interpretations of the spectral controllability of a linear delay system
- The length-problem for Eichler-transformations
- On the scattering matrix for the Eisenstein series for the Hecke congruence groups
- Large deviation rule for Anosov flows
- On the recurrence of some time inhomogeneous Markov processes
- Contents
- Forum Mathematicum
- The Lasker-Noether theorem for P* - variant ideals
- Atomic decompositions on manifolds with bounded geometry
- Algebraic interpretations of the spectral controllability of a linear delay system
- The length-problem for Eichler-transformations
- On the scattering matrix for the Eisenstein series for the Hecke congruence groups
- Large deviation rule for Anosov flows
- On the recurrence of some time inhomogeneous Markov processes
- Editors
