Multifractional brownian fields indexed by metric spaces with distances of negative type

Jacques Istas

ESAIM: Probability and Statistics (2013)

  • Volume: 17, page 219-223
  • ISSN: 1292-8100

Abstract

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We define multifractional Brownian fields indexed by a metric space, such as a manifold with its geodesic distance, when the distance is of negative type. This construction applies when the Brownian field indexed by the metric space exists, in particular for spheres, hyperbolic spaces and real trees.

How to cite

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Istas, Jacques. "Multifractional brownian fields indexed by metric spaces with distances of negative type." ESAIM: Probability and Statistics 17 (2013): 219-223. <http://eudml.org/doc/274353>.

@article{Istas2013,
abstract = {We define multifractional Brownian fields indexed by a metric space, such as a manifold with its geodesic distance, when the distance is of negative type. This construction applies when the Brownian field indexed by the metric space exists, in particular for spheres, hyperbolic spaces and real trees.},
author = {Istas, Jacques},
journal = {ESAIM: Probability and Statistics},
keywords = {fractional brownian motion; self-similarity; complex variations; H-sssi processes; fractional Brownian motion; -sssi processes},
language = {eng},
pages = {219-223},
publisher = {EDP-Sciences},
title = {Multifractional brownian fields indexed by metric spaces with distances of negative type},
url = {http://eudml.org/doc/274353},
volume = {17},
year = {2013},
}

TY - JOUR
AU - Istas, Jacques
TI - Multifractional brownian fields indexed by metric spaces with distances of negative type
JO - ESAIM: Probability and Statistics
PY - 2013
PB - EDP-Sciences
VL - 17
SP - 219
EP - 223
AB - We define multifractional Brownian fields indexed by a metric space, such as a manifold with its geodesic distance, when the distance is of negative type. This construction applies when the Brownian field indexed by the metric space exists, in particular for spheres, hyperbolic spaces and real trees.
LA - eng
KW - fractional brownian motion; self-similarity; complex variations; H-sssi processes; fractional Brownian motion; -sssi processes
UR - http://eudml.org/doc/274353
ER -

References

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  12. [12] J. Istas and C. Lacaux, On locally self-similar fractional random fields indexed by a manifold. Preprint (2009). Zbl1293.60056MR3176470
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