INVARIANT IMBEDDING AND GENERALIZED TRANSPORT THEORY; A BASIC STOCHASTIC FUNCTIONAL EQUATION

Abstract

The aim of the present paper was to extend previous results and techniques so as to include an extensive category of transport processes involving both deterministic and stochastic interaction, general geometries, and the determina tion of characteristic functions and probabilities as well as fluxes, which is to say, expected values. Utilizing the principle of invariant imbedding, a basic stochastic functional equation was derived. From this equation appropriately specialized, can be obtained all the relations pertaining to fluxes contained in previous papers, and in addition corresponding relations for characteristic functions.

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Document Details

Document Type
Technical Report
Publication Date
Jun 03, 1958
Accession Number
AD0606929

Entities

People

  • G. Milton Wing
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Equations
  • Geometry
  • Mathematics
  • Particles
  • Probability
  • Random Walk
  • Reflection
  • Scattering
  • Stratification
  • Transport Ships
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Operations Research
  • Solar Physics