The Hausdorff Alpha-Dimensional Measures of the Level Sets and the Graph of the N-Parameter Wiener Process.

Abstract

Let W(N,d) be the N-parameter Wiener process with values in Rd. Then the dimension of the level sets is N - d/2 with positive probability if d < 2N. The dimension of the graph is a.s. min(2N, N + d/2). The level sets have zero (N - d/2) - measure a.s. and the graph has zero min(2N, N + d/2) - measure a.s. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA096975

Entities

People

  • Lanh Tat Tran
  • Madan L. Puri

Organizations

  • Indiana University Bloomington

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Analysis Of Variance
  • Brownian Motion
  • Data Science
  • Gaussian Processes
  • Geometry
  • Information Science
  • Mathematics
  • New York
  • Probability
  • Random Variables
  • Security
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

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