Brownian Motion

★★★★☆Undergraduate

📖Definition

Fundamental continuous-time, continuous-state stochastic process. Also called Wiener process

📐Formulas

W(0) = 0
W(t) - W(s) ~ N(0, t-s)
Independent increments
Continuous paths

✏️Examples

예제 1

Stock price model

예제 2

Particle diffusion

예제 3

Heat equation

Applications

Financial math

Physics

Biology

#브라운#Brownian#위너#Wiener