Markov processes and convex minorants

Richard F. Bass

Séminaire de probabilités de Strasbourg (1984)

  • Volume: 18, page 29-41

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Bass, Richard F.. "Markov processes and convex minorants." Séminaire de probabilités de Strasbourg 18 (1984): 29-41. <http://eudml.org/doc/113489>.

@article{Bass1984,
author = {Bass, Richard F.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {convex minorant; extreme point; decomposition of general Markov processes; splitting times},
language = {eng},
pages = {29-41},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Markov processes and convex minorants},
url = {http://eudml.org/doc/113489},
volume = {18},
year = {1984},
}

TY - JOUR
AU - Bass, Richard F.
TI - Markov processes and convex minorants
JO - Séminaire de probabilités de Strasbourg
PY - 1984
PB - Springer - Lecture Notes in Mathematics
VL - 18
SP - 29
EP - 41
LA - eng
KW - convex minorant; extreme point; decomposition of general Markov processes; splitting times
UR - http://eudml.org/doc/113489
ER -

References

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  1. 1. R.M. Blumenthal, Weak convergence to Brownian excursion, to appear in Ann. Prob.11 (1983). Zbl0515.60081MR704566
  2. 2. J.L. Doob, Conditional Brownian motion and the boundary limits of harmonic functions, Bull. Soc. Math. France85(1957), 431-458. Zbl0097.34004MR109961
  3. 3. J.L. Doob, Heuristic approach to the Kolmogorov-Smirnov theorems, Ann. Math. Stat.16(1949), 31-41. Zbl0035.08901MR30732
  4. 4. R.T. Durrett, D.L. Inglehart, and D.R. Miller, Weak convergence to Brownian meander and Brownian excursion, Ann. Prob.5(1977), 117-129. Zbl0356.60034MR436353
  5. 5. P. Groeneboom, The concave majorant of Brownian motion, to appear in Ann. Prob. Zbl0523.60079MR714964
  6. 6. K. Ito and H.P. McKean, Jr., Diffusion processes and their sample paths, Springer-Verlag, New York, 1974. Zbl0285.60063MR345224
  7. 7. P.A. Meyer, R.T. Smythe, and J.B. Walsh, Birth and death of Markov processes, Sixth Berkeley Symposium, Vol.3, 295-305, Univ. of California Press, Berkeley, 1972. Zbl0255.60046MR405600
  8. 8. P.W. Millar, A path decomposition for Markov processes, Ann. Prob.6(1978), 345-348. Zbl0379.60070MR461678
  9. 9. J.W. Pitman, Remarks on the convex minorant of Brownian motion, to appear in Seminar on Stochastic Processes1982, Birkhäuser, Boston. Zbl0528.60033MR733673

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