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Fractal and lacunary stochastic processes

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Publication:1072237
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DOI10.1007/BF01012302zbMath0587.60060MaRDI QIDQ1072237

E. W. Montroll, Barry D. Hughes, Michael F. Shlesinger

Publication date: 1983

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

fractalslacunary seriesHausdorff- Besicovitch dimensionself-similar jump distribution


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Diffusion processes (60J60)


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Cites Work

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  • Sample functions of stable processes
  • Fractal random walks
  • Riemann's example of a continuous, 'nondifferentiable' function
  • Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles non linéaires
  • Random walks with self-similar clusters
  • Lattice dynamics, random walks, and nonintegral effective dimensionality
  • Memory function approach to nonlinear deterministic systems: An exact linear equation
  • Expected Number of Distinct Sites Visited by a Random Walk with an Infinite Variance
  • What is Dimension?
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