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A remark on the support of cadlag processes

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Stochastic Processes

Abstract

We show that every cadlag process on a metrizable co-Souslin space is supported by a Kσ-set. The result is central for the analytic characterization of Dirichlet forms associated with right-continuous strong Markov processes.

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References

  1. Albeverio, S., Ma, Z.M., Röckner, M., Non-symmetric Dirichlet forms and Markov processes on general state space. Preprint (1991). To appear in C.R. Acad. Sci. Paris, Série I.

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  2. Albeverio, S., Ma, Z.M., Röckner, M., Quasi-regular Dirichlet forms and Markov processes. Preprint (1991).

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  3. Dellacherie, C., Meyer, P.A., Probabilités et potentiel, Chapitres I-IV. Paris: Hermann 1975.

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  4. Lyons, T., Röckner, M., A note on tightness of capacities associated with Dirichlet forms. Preprint Edinburgh 1990. To appear in Bull. London Math. Soc.

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  5. Ma, Z. M., Röckner, M., An introduction to the theory of (non-symmetric) Dirichlet forms. Book in preparation (1991).

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  6. Maisonneuve, B., Topologies du type de Skorohod. In: Séminaire de Probabilités VI, 113–117. Berlin-Heidelberg- New York: Springer 1972.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-Universität Bochum, D-4630, Bochum 1, Germany

    S. Albeverio

  2. SFB 237 — Essen — Bochum — Düseldorf, Germany

    S. Albeverio

  3. BiBoS — Bielefeld — Bochum, Germany

    S. Albeverio

  4. CERFIM — Locarno, Switzerland

    S. Albeverio

  5. Institute for Applied Mathematics, Academia Sinica, P.O.Box 2734, Beijing, 100080, China

    Z. M. Ma

  6. Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, 5300, Bonn, Germany

    M. Röckner

Authors
  1. S. Albeverio
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  2. Z. M. Ma
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  3. M. Röckner
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Editor information

Editors and Affiliations

  1. Department of Statistics, University of North Carolina, Chapel Hill, NC, 27599-3260, USA

    Stamatis Cambanis  & Pranab K. Sen  & 

  2. Indian Statistical Institute, 203, B.T. Road, 700035, Calcutta, India

    Jayanta K. Ghosh

  3. Indian Statistical Institute, 7, S.J.S. Sansanwal Marg, New Delhi, 110016, India

    Rajeeva L. Karandikar

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© 1993 Springer-Verlag New York, Inc.

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Albeverio, S., Ma, Z.M., Röckner, M. (1993). A remark on the support of cadlag processes. In: Cambanis, S., Ghosh, J.K., Karandikar, R.L., Sen, P.K. (eds) Stochastic Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7909-0_1

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  • DOI: https://doi.org/10.1007/978-1-4615-7909-0_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7911-3

  • Online ISBN: 978-1-4615-7909-0

  • eBook Packages: Springer Book Archive

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