Thin points for brownian motion

Amir Dembo; Yuval Peres; Jay Rosen; Ofer Zeitouni

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 6, page 749-774
  • ISSN: 0246-0203

How to cite

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Dembo, Amir, et al. "Thin points for brownian motion." Annales de l'I.H.P. Probabilités et statistiques 36.6 (2000): 749-774. <http://eudml.org/doc/77678>.

@article{Dembo2000,
author = {Dembo, Amir, Peres, Yuval, Rosen, Jay, Zeitouni, Ofer},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {thin points; Hausdorff dimension; packing dimension; occupation measure; escape time; long-range dependence; multifractal spectrum; random fractal},
language = {eng},
number = {6},
pages = {749-774},
publisher = {Gauthier-Villars},
title = {Thin points for brownian motion},
url = {http://eudml.org/doc/77678},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Dembo, Amir
AU - Peres, Yuval
AU - Rosen, Jay
AU - Zeitouni, Ofer
TI - Thin points for brownian motion
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 6
SP - 749
EP - 774
LA - eng
KW - thin points; Hausdorff dimension; packing dimension; occupation measure; escape time; long-range dependence; multifractal spectrum; random fractal
UR - http://eudml.org/doc/77678
ER -

References

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  2. [2] Dembo A., Peres Y., Rosen J., Zeitouni O., Thick points for spatial Brownian motion: Multifractal analysis of occupation measure, Ann. Probab.28 (2000) 1-35. Zbl1130.60311MR1755996
  3. [3] Dembo A., Peres Y., Rosen J., Zeitouni O., Thick points for planar Brownian motion and the Erdös-Taylor conjecture on random walk, Acta Math., to appear. Zbl1008.60063MR1846031
  4. [4] Getoor R.K., The Brownian escape process, Ann. Probab.7 (1979) 864-867. Zbl0416.60086MR542136
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  7. [7] Kahane J.-P., Some Random Series of Functions, 2nd edition, Cambridge University Press, 1985. Zbl0571.60002MR833073
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  9. [9] Kono N., The exact Hausdorff measure of irregularity points for a Brownian path, Z. W.40 (1977) 257-282. Zbl0376.60081MR458564
  10. [10] Khoshnevisan D., Peres Y., Xiao Y., Limsup random fractals, Elect. J. Probab.5 (2000), paper 4, 1-24. Zbl0949.60025MR1743726
  11. [11] Mattila P., Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press, 1995. Zbl0819.28004MR1333890
  12. [12] Munkres J.R., Topology: A First Course, Prentice-Hall, Englewood Cliffs, NJ, 1975. Zbl0306.54001MR464128
  13. [ 13] Orey S., Taylor S.J., How often on a Brownian path does the law of the iterated logarithm fail?, Proc. Lond. Math. Soc.28 (1974) 174-192. Zbl0292.60128MR359031
  14. [14] Perkins E.A., Taylor S.J., Uniform measure results for the image of subsets under Brownian motion, Probab. Theory Related Fields76 (1987) 257-289. Zbl0613.60071MR912654

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