# Lacunary Fractional Brownian Motion

ESAIM: Probability and Statistics (2012)

- Volume: 16, page 352-374
- ISSN: 1292-8100

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topClausel, Marianne. "Lacunary Fractional Brownian Motion." ESAIM: Probability and Statistics 16 (2012): 352-374. <http://eudml.org/doc/222471>.

@article{Clausel2012,

abstract = {In this paper, a new class of Gaussian field is introduced called Lacunary Fractional Brownian Motion. Surprisingly we show that usually their tangent fields are not unique at every point. We also investigate the smoothness of the sample paths of Lacunary Fractional Brownian Motion using wavelet analysis.},

author = {Clausel, Marianne},

journal = {ESAIM: Probability and Statistics},

keywords = {Lacunary Gaussian fields; non uniqueness of the tangent field; uniform irregularity; wavelets; lacunary Gaussian fields},

language = {eng},

month = {8},

pages = {352-374},

publisher = {EDP Sciences},

title = {Lacunary Fractional Brownian Motion},

url = {http://eudml.org/doc/222471},

volume = {16},

year = {2012},

}

TY - JOUR

AU - Clausel, Marianne

TI - Lacunary Fractional Brownian Motion

JO - ESAIM: Probability and Statistics

DA - 2012/8//

PB - EDP Sciences

VL - 16

SP - 352

EP - 374

AB - In this paper, a new class of Gaussian field is introduced called Lacunary Fractional Brownian Motion. Surprisingly we show that usually their tangent fields are not unique at every point. We also investigate the smoothness of the sample paths of Lacunary Fractional Brownian Motion using wavelet analysis.

LA - eng

KW - Lacunary Gaussian fields; non uniqueness of the tangent field; uniform irregularity; wavelets; lacunary Gaussian fields

UR - http://eudml.org/doc/222471

ER -

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