Comportement asymptotique du nombre de tours effectués par la trajectoire brownienne plane

Jean Bertoin; Wendelin Werner

Séminaire de probabilités de Strasbourg (1994)

  • Volume: 28, page 164-171

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Bertoin, Jean, and Werner, Wendelin. "Comportement asymptotique du nombre de tours effectués par la trajectoire brownienne plane." Séminaire de probabilités de Strasbourg 28 (1994): 164-171. <http://eudml.org/doc/113871>.

@article{Bertoin1994,
author = {Bertoin, Jean, Werner, Wendelin},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {almost sure asymptotic behaviour; Brownian motion; Cauchy process},
language = {eng},
pages = {164-171},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Comportement asymptotique du nombre de tours effectués par la trajectoire brownienne plane},
url = {http://eudml.org/doc/113871},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Bertoin, Jean
AU - Werner, Wendelin
TI - Comportement asymptotique du nombre de tours effectués par la trajectoire brownienne plane
JO - Séminaire de probabilités de Strasbourg
PY - 1994
PB - Springer - Lecture Notes in Mathematics
VL - 28
SP - 164
EP - 171
LA - eng
KW - almost sure asymptotic behaviour; Brownian motion; Cauchy process
UR - http://eudml.org/doc/113871
ER -

References

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  2. [2] B. Fristedt, Sample functions of stochastic processes with stationary independent increments, Advances in Probability III, 241-396 (1973). Zbl0309.60047MR400406
  3. [3] G. Kallianpur, H. Robbins, Ergodic property of Brownian motion process, Proc. Nat. Acad. Sci.U.S.A.39, 525-533 (1953). Zbl0053.10003MR56233
  4. [4] J.F. Le Gall, Some properties of planar Brownian motion, Cours de l'école d'été de St-Flour 1990, Lect. Notes in Math.1527, pp. 111-235, Springer, 1992. Zbl0779.60068MR1229519
  5. [5] T. Meyre, W. Werner, Estimation asymptotique du rayon du plus grand disque recouvert par la saucisse de Wiener plane, Stochastics, à paraître. Zbl0828.60066
  6. [6] J. Pitman, M. Yor, Asymptotic laws of planar Brownian motion, Ann. Probab.14, 733-779 (1986). Zbl0607.60070MR841582
  7. [7] D. Revuz, M. Yor, Continuous martingales and Brownian motion, Springer, 1991. Zbl0731.60002MR1083357
  8. [8] F. Spitzer, Some theorems concerning 2-dimensional Brownian motion, Trans. Amer. Math. Soc.87, 187-197 (1958). Zbl0089.13601MR104296
  9. [9] Z. Shi, Liminf behaviour of the windings and Lévy stochastic area of planar Brownian motion, Séminaire de Probabilités XXVIII (1994). Zbl0810.60076MR1329108

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