Random Walks

Complexity Explorer


Wichtige informationen

  • Kurs
  • Online
  • Wann:
    Freie Auswahl

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.

Wichtige informationen

Wo und wann

Beginn Lage
Freie Auswahl

Was lernen Sie in diesem Kurs?

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


  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.