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Hausdorff dimension of the record set of a fractional Brownian motion

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Publication:1748576
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DOI10.1214/18-ECP121zbMath1390.60143arXiv1706.09726MaRDI QIDQ1748576

Assaf Shapira, Lucas Benigni, Clément Cosco, Kay Jörg Wiese

Publication date: 11 May 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09726


zbMATH Keywords

fractional Brownian motionHausdorff dimensionrecord set


Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Sample path properties (60G17) Self-similar stochastic processes (60G18) Fractals (28A80) Hausdorff and packing measures (28A78)




Cites Work

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  • On the one-sided exit problem for fractional Brownian motion
  • Stochastic analysis of the fractional Brownian motion
  • Maximum of a fractional Brownian motion: Probabilities of small values
  • ON SPECTRAL SIMULATION OF FRACTIONAL BROWNIAN MOTION
  • Universal Record Statistics of Random Walks and Lévy Flights
  • Breaking Records and Breaking Boards
  • Recent Developments on Fractal Properties of Gaussian Random Fields
  • Random Fields and Geometry
  • Record statistics of a strongly correlated time series: random walks and Lévy flights
  • On the fluctuations of sums of random variables
  • Brownian Motion
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