Skip to main content
SpringerLink
Log in

Lois de sortie et semi-groupes basiques

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

Let ℙ=(P t)t<0 be a semigroup of kernel and letm be an excessive reference measure for ℙ. In this work we prove that ℙ ism-basic if and only if everym.a.e. finite purely excessive function is represented by a unique exit law for ℙ. In this case we deduce some applications about natural densities, energie functionnal and invariant functions for the time-space semigroup of ℙ.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Références

  1. Dellacherie, C.;Meyer, P.A.:Probabilités et potentiel, XII-XVI, Hermann, Paris (1987)

    MATH  Google Scholar 

  2. Dynkin, E.B.:Minimal excessive measures and functions, Trans. Amer. Math. Soc.258, 217–244 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  3. Dynkin, E.B.:Green’s and Dirichlet spaces for a symmetric Markov transition function, Lect Notes of the London Math. Soc.79, 79–98 (1983)

    MathSciNet  Google Scholar 

  4. Fitzsimmons, P.J.:Markov Processes and Nonsymmetric Dirichlet Forms without Regularity, J. Funct. Anal.85, 287–306 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  5. Fitzsimmons, P.J.;Getoor, R.K.:On the Potential Theory of Symmetric Markov Processes, Math. Ann.281, 495–512 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  6. Janssen, K.:Representation of excessive measures, Sem. Stoch. Processes 1986, Birkhäuser, Boston, Mass., 85–105 (1987)

    Google Scholar 

  7. Wittmann, R.:Natural Densities of Markov Transition Probabilities, Prob. Th. Rel. Fields73, 1–10 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  8. Yan, J.A. A formula for densities of transition functions, Sem. Prob. XXII, Lect. Notes in Math.1321, 92–100 (1988)

    Google Scholar 

Download references

Author information

Author notes

  1. Mohamed Hmissi

    Present address: Fachbereich Mathematik, Universität Frankfurt am Main, Postfach 11 19 32, D-6000, Frankfurt Am Main, FRG

Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Tunis, TN-1060 Belvédère, Tunis, Tunisia

    Mohamed Hmissi

Authors
  1. Mohamed Hmissi
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hmissi, M. Lois de sortie et semi-groupes basiques. Manuscripta Math 75, 293–302 (1992). https://doi.org/10.1007/BF02567086

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567086

Search

Navigation