Some remarks on perturbed reflecting brownian motion

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1. [1] Azéma, J., Yor, M.: Une solution simple au problème de Skorokhod, in: Séminaire de Probabilités XIII, Lecture Notes in Mathematics721, Springer, pages 90-115 (1979) Zbl0414.60055
2. [2] 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. Fields100, 1-29 (1994) Zbl0808.60066MR1292188
3. [3] Getoor, R.K.: The Brownian escape process, Ann. Prob.7, 864-867 (1979) Zbl0416.60086MR542136
4. [4] Kent, J.: Some probabilistic properties of Bessel functions, Ann. Probab.6, 760-770 (1978) Zbl0402.60080MR501378
5. [5] Lamperti, J.: Semi-stable Markov processes. I, Z. Wahrscheinlichkeitstheorie verw. Geb.22, 205-225 (1972) Zbl0274.60052MR307358
6. [6] 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) Zbl0589.60070MR851079
7. [7] Le Gall, J.F., Yor, M.: Enlacements du mouvement brownien autour des courbes de l'espace, Trans. Amer. Math. Soc.317, 687-722 (1990) Zbl0696.60072MR946219
8. [8] Perman, M.: An excursion approach to Ray-Knight theorems for perturbed reflecting Brownian motion, preprint (1994). Zbl0909.60067MR1411190
9. [9] 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) Zbl0456.60029MR655268
10. [10] Revuz, D., Yor, M.: Continuous martingales and Brownian motion, 2nd edition, Springer, 1994. Zbl0804.60001MR1303781
11. [11] Shi, Z., Werner, W.: Asymptotics for occupation times of half-lines by stable processes and perturbed reflecting Brownian motion, Stochastics, to appear (1995) Zbl0886.60030MR1382286
12. [12] Watson, G.N.: Theory of Bessel functions, Cambridge University Press, 1922. Zbl48.0412.02JFM50.0264.01
13. [13] Yor, M.: Some aspects of Brownian motion, Part I: Some special functionals, Lecture Notes ETH Zürich, Birkhäuser, Basel, 1992. Zbl0779.60070MR1193919
14. [14] Yor, M.: Sur certaines fonctionnelles exponentielles du mouvement brownien réel, J. Appl. Prob.29, 202-208 (1992) Zbl0758.60085MR1147781
15. [15] Davis, B.: Path convergence of random walk partly reflected at extrema, Technical report #94-22, Departement of Statistics, Purdue University (1994) 
16. [16] Nester, D.K.: Random walk with partial reflection of repulsion at both extrema, preprint (1994) 

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