Crossings of Curves by a One-Dimensional Brownian Motion Process.

Abstract

The paper proves that for any given differentiable function and any T > O, the set of points between zero and T where the sample path of a standard separable Brownian motion process intersects the graph of the function is almost surely a perfect set. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1973
Accession Number
AD0758708

Entities

People

  • Douglas Yates Rowland

Organizations

  • Case Western Reserve University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Brownian Motion
  • Crossings

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.