Hitting Lines with Two-Dimensional Brownian Motion

Abstract

This paper consists of the computation of several hitting time and hitting place distributions for two-dimensional Brownian motion. The motivation for this study is two-fold: first, to get a diffusion model for the firing behavior of a simple network of neurons, and second, to get an interesting two- dimensional version of the inverse Gaussian distribution.

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Document Details

Document Type
Technical Report
Publication Date
May 27, 1990
Accession Number
ADA223595

Entities

People

  • Satish Iyengar

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Applied Mathematics
  • Artificial Intelligence
  • Bessel Functions
  • Brownian Motion
  • Chebyshev Polynomials
  • Classification
  • Computations
  • Data Science
  • Equations
  • Gaussian Distributions
  • Gaussian Processes
  • Geometry
  • Information Science
  • Military Research
  • Statistics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • ballistics.