1. The Foundation: Independent Increments in Brownian Motion Standard Brownian motion, denoted W(t), is a continuous-time stochastic process characterized by continuous paths and independent, normally distributed increments. For any times t > s, the difference W(t) − W(s) follows a normal distribution with mean zero and variance t − s: W(t) − W(s) ~ N(0, … Continue reading The Blue Wizard: Proof and Progress in Mathematics and Computing
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