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The lifetime of conditioned Brownian motion. (English) Zbl 0506.60071

60J45 Probabilistic potential theory
60J65 Brownian motion
Full Text: DOI
[1] Chow, Y.S., Teicher, H.: Probability Theory. Berlin-Heidelberg-New York: Springer 1978 · Zbl 0399.60001
[2] Chung, K.L.: Lectures from Brownian motion to Markov processes. Berlin-Heidelberg-New York: Springer 1982 · Zbl 0503.60073
[3] Doob, J.L.: Conditional Brownian motion and the boundary limits of harmonic functions. Bull. Soc. Math. France 85, 431-458 (1957) · Zbl 0097.34004
[4] Getoor, R.K., Sharpe, M.J.: Last Exit Decompositions. Indiana Math. J. 23, 377-404 (1973) · Zbl 0314.60055 · doi:10.1512/iumj.1973.23.23031
[5] Ito, K., McKean, H.P.: Diffusion Processes and their Sample Paths. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0285.60063
[6] Lamb, C.W.: A note on harmonic functions and martingales. Annals Math. Stat. 42, No. 6, 2044-2049 (1971) · Zbl 0229.60055 · doi:10.1214/aoms/1177693072
[7] Martin, R.S.: Minimal positive harmonic functions. Trans. Amer. Math. Soc. 49, 137-172 (1941) · Zbl 0025.33302 · doi:10.1090/S0002-9947-1941-0003919-6
[8] Meyer, P.A., Smythe, R.T., Walsh, J.B.: Birth and Death of Markov processes. Proc. Sixth Berkeley Sympos. Math. Statist. and Probability Vol. III, 295-305, Univ. Calif. (1972) · Zbl 0255.60046
[9] Pittenger, A.O., Shih, C.T.: Coterminal families and the strong Markov property. Trans. Amer. Math. Soc. 182, 1-42 (1973) · Zbl 0275.60084 · doi:10.1090/S0002-9947-1973-0336827-2
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