On the martingales obtained by an extension due to Saisho, Tanemura and Yor of Pitman's theorem

Koichiro Takaoka

Séminaire de probabilités de Strasbourg (1997)

  • Volume: 31, page 256-265

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Takaoka, Koichiro. "On the martingales obtained by an extension due to Saisho, Tanemura and Yor of Pitman's theorem." Séminaire de probabilités de Strasbourg 31 (1997): 256-265. <http://eudml.org/doc/113962>.

@article{Takaoka1997,
author = {Takaoka, Koichiro},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Brownian motion; Pitman's theorem; stochastic differential equations},
language = {eng},
pages = {256-265},
publisher = {Springer - Lecture Notes in Mathematics},
title = {On the martingales obtained by an extension due to Saisho, Tanemura and Yor of Pitman's theorem},
url = {http://eudml.org/doc/113962},
volume = {31},
year = {1997},
}

TY - JOUR
AU - Takaoka, Koichiro
TI - On the martingales obtained by an extension due to Saisho, Tanemura and Yor of Pitman's theorem
JO - Séminaire de probabilités de Strasbourg
PY - 1997
PB - Springer - Lecture Notes in Mathematics
VL - 31
SP - 256
EP - 265
LA - eng
KW - Brownian motion; Pitman's theorem; stochastic differential equations
UR - http://eudml.org/doc/113962
ER -

References

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  1. [1] Bertoin, J., An extension of Pitman's theorem for spectrally positive Lévy processes, Ann. Prob.20 (1993), 1463-1483. Zbl0760.60068MR1175272
  2. [2] Pitman, J., One-dimensional Brownian motion and the three-dimensional Bessel process, Adv. Appl. Prob.7 (1975), 511-526. Zbl0332.60055MR375485
  3. [3] Rauscher, B., Some remarks on Pitman's theorem, in this volume of the Séminaire de Probabilités. Zbl0884.60076
  4. [4] Revuz, D. & Yor, M., Continuous martingales and Brownian motion, Second edition, Springer (1994). Zbl0804.60001
  5. [5] Saisho, Y. & Tanemura, H., Pitman type theorem for one-dimensional diffusion processes, Tokyo J. Math.13 (1990), 429-440. Zbl0722.60082
  6. [6] Tanaka, H., Time reversal of random walks in dimension one, Tokyo J. Math.12 (1989), 159-174. Zbl0692.60052MR1001739
  7. [7] _, Time reversal of random walks in Rd, Tokyo J. Math.13 (1990), 375-389. Zbl0734.60075MR1088238
  8. [8] Yamada, T. & Watanabe, S., On the uniqueness of solutions of stochastic differential equations, J. Math. Kyoto Univ.11 (1971), 155-167. Zbl0236.60037
  9. [9] Yor, M., Some Aspects of Brownian Motion Part II: Some Recent Martingale Problems, ETH Lecture Notes in Mathematics, Birkhäuser (to appear). Zbl0880.60082MR1442263

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