Local Properties of Index-Alpha Stable Fields.

Abstract

This document examines the paths of the stable fields that are the analogs of index-beta Gaussian fields. The author finds Holder conditions on their paths and finds the Hausdorff dimension of the image, graph, and level sets when we have local nondeterminism, generalizing the Gaussian results. Keywords: inversion; random variables.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA186432

Entities

People

  • John P Nolan

Organizations

  • University of North Carolina at Chapel Hill

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Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Computing-Related Activities
  • Continuity
  • Data Science
  • Fourier Series
  • Gaussian Processes
  • Indexes
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • North Carolina
  • Probability
  • Random Variables
  • Statistics
  • Stochastic Processes
  • Theorems
  • Universities

Readers

  • Mathematical Modeling and Probability Theory.
  • Wave Propagation and Nonlinear Chaotic Dynamics.