THE CONVERGENCE OF A RANDOM DISTRIBUTION FUNCTION ASSOCIATED WITH A BRANCHING PROCESS,

Abstract

A general branching process is constructed from the standard one by associating with each particle a ''type'', namely a point in a space which is taken to be d-dimensional Euclidian space. At any given time, each particle existing at that time is to be considered as located at a point in the given space. The diffusion of the particles throughout the space is shieded. The branching character of the process alone implies detailed results about its asymptotic behavior, without requiring any specific distribution assumptions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 12, 1964
Accession Number
AD0434059

Entities

People

  • P. E. Ney

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Convergence
  • Diffusion
  • Distribution Functions
  • Functions (Mathematics)
  • Particles
  • Personality
  • Standards

Fields of Study

  • Mathematics

Readers

  • Aerosol Science/Aerosol Physics
  • Computational Modeling and Simulation
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space