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Excursions in Brownian motion

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Arkiv för Matematik

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References

  1. Chung, K. L.,Markov Chains with Stationary Transition Probabilities, second edition, Springer-Verlag, 1967.

  2. Chung, K. L., On the boundary theory for Markov chains II,Acta Math. 115 (1966), 111–163.

    Article  MATH  MathSciNet  Google Scholar 

  3. Chung, K. L.,Lectures on Boundary Theory for Markov Chains, Princeton University Press 1970.

  4. Chung, K. L., Maxima in Brownian excursions,Bull. Amer. Math. Soc. 81 (1975), 742–745.

    Article  MATH  MathSciNet  Google Scholar 

  5. Chung, K. L., A bivariate distribution in regeneration.J. Appl. Prob. 12 (1975), 837–839.

    Article  MATH  Google Scholar 

  6. Chung, K. L. andDurrett, R., Downcrossings and local time. To appear inZeitschrift für Wahrscheinlichkeitstheorie.

  7. Durrett, R. T. andIglehart, D. L., Functionals of Brownian meandering and Brownian excursion.To appear.

  8. Freedman, D.,Brownian Motion and Diffusion, Holden-Day 1971.

  9. Iglehart, D. L., Functional central limit theorems for random walks conditioned to stay positive,Ann. Probability 2 (1974), 608–619.

    Article  MATH  MathSciNet  Google Scholar 

  10. Ito, K. andMcKean, jr. H. P.,Diffusion Processes and Their Sample Paths, Springer-Verlag, 1965.

  11. Kaigh, W. D., An invariance principle for random walk conditioned by a late return to zero.To appear in Ann. of Probability.

  12. Lévy, Paul, Sur certains processus stochastiques homogènes,Compositio Math. 7 (1939), 283–339.

    MATH  MathSciNet  Google Scholar 

  13. Lévy, Paul,Processus stochastiques et mouvement brownien, second edition, Gauthier-Villars 1965 (first ed. 1948).

  14. Pólya, G. andSzego″, G.,Aufgaben der Lehrsätze aus der Analysis, Springer-Verlag 1925.

  15. Williams, D., The Ito excursion law for Brownian motion.To appear.

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, 94305, Stanford, California, USA

    Kai Lai Chung

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  1. Kai Lai Chung
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Dedicated to the Memory of Paul Lévy

Research supported in part by NSF grant 41 710.

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Chung, K.L. Excursions in Brownian motion. Ark. Mat. 14, 155–177 (1976). https://doi.org/10.1007/BF02385832

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  • DOI: https://doi.org/10.1007/BF02385832

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