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Algebraic sum of the image sets for a random string process

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Publication:1001954
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zbMath1156.60042MaRDI QIDQ1001954

Zhen Long Chen

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1227708821

zbMATH Keywords

local timesfractal propertiesHausdorff and packing dimensions


Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)


Related Items

Polar functions and intersections of the random string processes, Polar functions for anisotropic Gaussian random fields



Cites Work

  • Unnamed Item
  • Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
  • Geometric properties of fractional Brownian sheets
  • Occupation densities
  • Asymptotic behavior of sample functions of Gaussian random fields
  • Local times of fractional Brownian sheets
  • Hitting properties of a random string
  • Hausdorff measure of trajectories of multiparameter fractional Brownian motion
  • Random motion of strings and related stochastic evolution equations
  • Fractal properties of the random string processes
  • Sample function properties of multi-parameter stable processes
  • Hitting probabilities and polar sets for fractional brownian motion
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