What is a Random Walk?
A random walk is a mathematical process that describes a path consisting of a series of random steps. Each step’s direction is determined randomly, making the trajectory unpredictable. The concept is simple yet powerful, with applications ranging from physics and biology to economics and computer science.
In the simplest form of a random walk in two dimensions:
- A point starts at a specific location.
- It moves in one of four directions (up, down, left, or right), chosen randomly.
- This process repeats indefinitely or until a certain condition is met.
Simulating a Random Walk
The following simulation shows how a random walk can be visualized in a 2D space using a canvas element in HTML.