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Hausdorff dimension of Weierstrass-Mandelbrot process

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Publication:1613005
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DOI10.1016/S0167-7152(01)00195-XzbMath1005.60086MaRDI QIDQ1613005

Jerzy Szulga

Publication date: 5 September 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

fractional Brownian motioncharacteristic functionHausdorff dimensionfractal dimensionWeierstrass-Mandelbrot processsmall ball probabilitylaw tails


Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) Sample path properties (60G17) Markov processes (60J99)


Related Items (2)

Weierstrass functions with random phases ⋮ Control of Weierstrass–Mandelbrot Function Model with Morlet Wavelets



Cites Work

  • CONVERGENCE OF THE WEIERSTRASS-MANDELBROT PROCESS TO FRACTIONAL BROWNIAN MOTION
  • On the Weierstrass-Mandelbrot fractal function
  • The Hausdorff dimension of graphs of Weierstrass functions
  • The Weierstrass-Mandelbrot process revisited
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