Random Walks

Complexity Explorer
Online

Gratis

Informazione importanti

  • Corso
  • Online
  • Quando:
    Da definire
Descrizione

Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems. A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.

Informazione importanti
Sedi

Dove e quando

Inizio Luogo
Da definire
Online

Cosa impari in questo corso?

Distribution
Square Displacement
Spatial Dimension
Central Limit Theorem
First Passage Phenomena
Final Remarks
Applications of First Passage Phenomena
Diffusion Equation
Passage Phenomena

Programma

Syllabus
  1. Introduction
  2. Root Mean Square Displacement
  3. Role of the Spatial Dimension
  4. Probability Distribution and Diffusion Equation
  5. Central Limit Theorem
  6. First Passage Phenomena
  7. Elementary Applications of First Passage Phenomena
  8. Final Remarks
  9. Homework

This tutorial is designed for more advanced math students.  Math prerequisites for this course are an understanding of calculus, basic probability, and Fourier transforms.