Fractional Brownian motion and packing dimension

Michel Talagrand, Yimin Xiao

Type: Article

Publication Date: 1996-07-01

Citations: 28

DOI: https://doi.org/10.1007/bf02214076

View Publication

Locations

Journal of Theoretical Probability - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Dimensional Properties of Fractional Brownian Motion	2007	Dong Sheng Wu Yimin Xiao
+ PDF Chat	Fractional Brownian motion	2013	Joseph L. McCauley
+ PDF Chat	Fractional Brownian Motion	2017	Hasan Fallahgoul Sergio M. Focardi Frank J. Fabozzi
+ PDF Chat	Fractional Brownian Motion	2019	Oksana Banna Yuliya Mishura Kostiantyn Ralchenko Sergiy Shklyar
+	Fractional Randomness and the Brownian Bridge	2018	Charles S. Tapiero Pierre Vallois
+	Packing-type Measures of the Sample Paths of Fractional Brownian Motion	2005	Zhenlong Chen Sanyang Liu XU Ci-wen
+	Hausdorff measures and packing premeasures	2004	薫秦野弘明連絡相川
+	Hausdorff measures and packing premeasures	2004	Kaoru Hatano Hiroaki Aikawa
+	Geometric Properties of Fractional Brownian Sheets	2007	Dongsheng Wu Yimin Xiao
+ PDF Chat	Fractional Brownian Flows	2008	Sreekar Vadlamani
+	Hausdorff and Packing Measures	2024
+	Fluctuations and Brownian Motion	2024
+ PDF Chat	Asymptotic Properties and Hausdorff Dimensions of Fractional Brownian Sheets	2005	Antoine Ayache Yimin Xiao
+ PDF Chat	Packing measure of the sample paths of fractional Brownian motion	1996	Yimin Xiao
+	Brownian motion and fractal geometry in the liquid state	1986	Jannis Samios Peter Pfeifer U. Mittag Martin Obert Th. Dorfmüller
+	The fractal geometry of Brownian motion	2009	Paul Potgieter
+	Brownian Motion and Diffusions	2011	Vincenzo Capasso
+	Brownian Motion and Diffusions	2012
+ PDF Chat	Packing dimension of the image of fractional Brownian motion	1997	Yimin Xiao
+ PDF Chat	Packing dimension of mean porous measures	2009	D. Beliaev Esa Järvenpää Maarit Järvenpää Antti Käenmäki Tapio Rajala Stanislav Smirnov Ville Suomala

Works That Cite This (26)

Action	Title	Year	Authors
+ PDF Chat	Sample Path Properties of Anisotropic Gaussian Random Fields	2008	Yimin Xiao
+	Random fractals and Markov processes	2004	Yimin Xiao
+ PDF Chat	Minkowski dimension of Brownian motion with drift	2014	Philippe H. A. Charmoy Yuval Peres Perla Sousi
+	Dimension results for sample paths of operator stable Lévy processes	2004	Mark M. Meerschaert Yimin Xiao
+ PDF Chat	Sectorial Local Non-Determinism and the Geometry of the Brownian Sheet	2006	Yimin Xiao Davar Khoshnevisan Dongsheng Wu
+ PDF Chat	Packing dimension of the image of fractional Brownian motion	1997	Yimin Xiao
+	Hausdorff-type measures of the sample paths of fractional Brownian motion	1998	Yimin Xiao
+	Packing dimension, Hausdorff dimension and Cartesian product sets	1996	Yimin Xiao
+	Recent Developments on Fractal Properties of Gaussian Random Fields	2013	Yimin Xiao
+ PDF Chat	Packing-dimension profiles and fractional Brownian motion	2008	Davar Khoshnevisan Yimin Xiao

Works Cited by This (10)

Action	Title	Year	Authors
+	Some Random Series of Functions	1985	Jean‐Pierre Kahane
+	Local Nondeterminism and Hausdorff Dimension	1987	Ditlev Monrad Loren D. Pitt
+	The packing measure of rectifiable subsets of the plane	1986	S. J. Taylor Claude Tricot
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer
+ PDF Chat	Uniform measure results for the image of subsets under Brownian motion	1987	Edwin Perkins S. J. Taylor
+	Packing regularity of sets in <i>n</i>-space	1988	Xavier Saint Raymond Claude Tricot
+ PDF Chat	Packing measure, and its evaluation for a Brownian path	1985	S. J. Taylor Claude Tricot
+	The measure theory of random fractals	1986	S. J. Taylor
+	Two definitions of fractional dimension	1982	Claude Tricot
+	The use of packing measure in the analysis of random sets	1986	S. J. Taylor