Estimates of the Hausdorff dimension of the boundary of positive brownian sheet components

Thomas S. Mountford

Séminaire de probabilités de Strasbourg (1993)

  • Volume: 27, page 233-255

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Mountford, Thomas S.. "Estimates of the Hausdorff dimension of the boundary of positive brownian sheet components." Séminaire de probabilités de Strasbourg 27 (1993): 233-255. <http://eudml.org/doc/113850>.

@article{Mountford1993,
author = {Mountford, Thomas S.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Brownian sheet; Hausdorff dimension},
language = {fre},
pages = {233-255},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Estimates of the Hausdorff dimension of the boundary of positive brownian sheet components},
url = {http://eudml.org/doc/113850},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Mountford, Thomas S.
TI - Estimates of the Hausdorff dimension of the boundary of positive brownian sheet components
JO - Séminaire de probabilités de Strasbourg
PY - 1993
PB - Springer - Lecture Notes in Mathematics
VL - 27
SP - 233
EP - 255
LA - fre
KW - Brownian sheet; Hausdorff dimension
UR - http://eudml.org/doc/113850
ER -

References

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  2. Dalang, R.C. and Walsh, J. (1992a): The Structure of the Brownian Bubble. Preprint. Zbl0794.60047MR1234620
  3. Dalang, R.C. and Walsh, J. (1992b): Geography of the Level Sets of the Brownian Sheet. Preprint. Zbl0792.60038MR1227030
  4. Ehm, W. (1981): Sample Function Properties of Multi-parameter Stable Processes. Z. Wahr. v. Geb.50, 195-228. Zbl0471.60046MR618272
  5. Ito, K. and McKean, H.P. (1965): Diffusion processes and their sample paths, Springer Verlag, Berlin, New York. Zbl0127.09503
  6. Kahane, J-P. (1985): Some Random Fourier Series of Functions, Cambridge University press, Cambridge, New York. MR833073
  7. Kendall, W. (1980): Contours of Brownian processes with several-dimensional time. Z. Wahr. v. Geb.52, 269-276. Zbl0431.60056MR576887
  8. Landkoff, N. (1972): Foundations of Modern Potential Theory, Springer Verlag, Berlin, New York. Zbl0253.31001MR350027
  9. Orey, S. and Pruitt, W. (1973): Sample functions of the N-parameter Wiener process on Rd. Annals of Probability1, 138-163. Zbl0284.60036MR346925
  10. Rosen, J. (1983): Joint Continuity of the Local Time for the N-Parameter Wiener process on Rd . Preprint University of Massachusetts, Amherst. 
  11. Taylor, S.J. (1961): On the connection between Hausdorff measures and generalized capacities. Proceedings of the Cambridge Philosophical Society57. 524-531. Zbl0106.26802MR133420
  12. Walsh, J.B. (1984): An Introduction to Stochastic Partial Differential Equations. Ecole d'Ete de Probabilites de Saint-FlourX1VSpringer, Berlin, New York. Zbl0608.60060MR876085

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