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References
Azéma, J., Yor, M.: Une solution simple au problème de Skorokhod, in: Séminaire de Probabilités XIII, Lecture Notes in Mathematics 721, Springer, pages 90–115 (1979)
Carmona, P., Petit, F., Yor, M.: Some extensions of the Arcsine law as partial consequences of the scaling property for Brownian motion, Probab. Theory Relat. Fields 100, 1–29 (1994)
Getoor, R.K.: The Brownian escape process, Ann. Prob. 7, 864–867 (1979)
Kent, J.: Some probabilistic properties of Bessel functions, Ann. Probab. 6, 760–770 (1978)
Lamperti, J.: Semi-stable Markov processes. I, Z. Wahrscheinlichkeitstheorie verw. Geb. 22, 205–225 (1972)
Le Gall, J.F., Yor, M.: Excursions browniennes et carrés de processus de Bessel, C.R. Acad. Sci. Paris, Série I, 303, 73–76 (1986)
Le Gall, J.F., Yor, M.: Enlacements du mouvement brownien autour des courbes de l’espace, Trans. Amer. Math. Soc., 317, 687–722 (1990)
Perman, M.: An excursion approach to Ray-Knight theorems for perturbed reflecting Brownian motion, preprint (1994).
P. Révész: Local time and invariance, in: Analytical methods in Probability (D. Dugué, E. Lukacs, V.K. Rohatgi ed.), Lecture Notes in Math. 861, 128–145 (1981)
Revuz, D., Yor, M.: Continuous martingales and Brownian motion, 2nd edition, Springer, 1994.
Shi, Z., Werner, W.: Asymptotics for occupation times of half-lines by stable processes and perturbed reflecting Brownian motion, Stochastics, to appear (1995)
Watson, G.N.: Theory of Bessel functions, Cambridge University Press, 1922.
Yor, M.: Some aspects of Brownian motion, Part I: Some special functionals, Lecture Notes ETH Zürich, Birkhäuser, Basel, 1992.
Yor, M.: Sur certaines fonctionnelles exponentielles du mouvement brownien réel, J. Appl. Prob. 29, 202–208 (1992)
Davis, B.: Path convergence of random walk partly reflected at extrema, Technical repor #94-22, Department of Statistics, Purdue University (1994)
Nester, D.K.: Random walk with partial reflection of repulsion at both extrema, preprint (1994)
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Werner, W. (1995). Some remarks on perturbed reflecting Brownian motion. In: Azéma, J., Emery, M., Meyer, P.A., Yor, M. (eds) Séminaire de Probabilités XXIX. Lecture Notes in Mathematics, vol 1613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094198
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DOI: https://doi.org/10.1007/BFb0094198
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