Overview
A random walk is a mathematical object that describes a path consisting of a succession of random steps. Imagine a drunkard stumbling home, or a stock price fluctuating – these are conceptualizations of random walks. From its origins in physics to its pervasive use in computer science, finance, and biology, the random walk is a fundamental concept for modeling systems where future states are not deterministically predictable. Understanding its properties, like recurrence and transience, is crucial for analyzing complex phenomena.
Key Facts
- Year
- 1905
- Origin
- Physics (Einstein's work on Brownian motion)
- Category
- Mathematics & Statistics
- Type
- Concept