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Stochastic calculus and the continuity of local times of Lévy processes

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1526)

Keywords

  • Local Time
  • Markov Property
  • Stochastic Calculus
  • Local Martingale
  • Joint Continuity

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References

  1. M. T. Barlow, Continuity of local times for Lévy processes. Z. f. Wahrsch. 69 (1985) 23–35.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. T. Barlow, Necessary and sufficient conditions for the continuity of local time of Lévy processes. Ann. Probab. 16 (1988) 1389–1427.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. T. Barlow and J. Hawkes, Application de l'entropie métrique á la continuité des temps locaux des processus de Lévy. C. R. Acad. Sci. Paris 301 (1985) 237–239.

    MathSciNet  MATH  Google Scholar 

  4. E. S. Boylan, Local times for a class of Markov processes. Illinois J. Math. 8 (1964) 19–39.

    MathSciNet  MATH  Google Scholar 

  5. C. Dellacherie and P.-A. Meyer, Probabilités et Potentiel: Théorie des Martingales. Paris, Hermann, 1980.

    MATH  Google Scholar 

  6. R. M. Dudley, Sample functions of the Gaussian process. Ann. Probab. 1 (1973) 66–103.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. R. K. Getoor and H. Kesten, Continuity of local times of Markov processes. Compositio Math. 24 (1972) 277–303.

    MathSciNet  MATH  Google Scholar 

  8. H. Kesten, Hitting probabilities of single points for processes with stationary independent increments. Mem. A. M. S. 93.

    Google Scholar 

  9. M. R. Marcus and J. Rosen, Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes. Preprint.

    Google Scholar 

  10. H. P. McKean, Jr., A Hölder condition for Brownian local time. J. Math. Kyoto Univ. 1–2 (1962) 195–201.

    MathSciNet  MATH  Google Scholar 

  11. P.-A. Meyer, Sur les lois de certaines fonctionelles additives: Applications aux temps locaux. Publ. Inst. Statist. Univ. Paris 15 (1966) 295–310.

    MathSciNet  MATH  Google Scholar 

  12. P. W. Millar and L. T. Tran, Unbounded local times. Z. f. Wahrsch. 30 (1974) 87–92.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1992 Springer-Verlag

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Bass, R., Khoshnevisan, D. (1992). Stochastic calculus and the continuity of local times of Lévy processes. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXVI. Lecture Notes in Mathematics, vol 1526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084306

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  • DOI: https://doi.org/10.1007/BFb0084306

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56021-0

  • Online ISBN: 978-3-540-47342-8

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