# Stochastic Processes

* [Brownian Motion](brownian-motion.md) - Continuous-time stochastic process with stationary independent Gaussian increments.
* [Diffusion-Limited Aggregation](diffusion-limited-aggregation.md) - Stochastic growth process in which particles undergoing Brownian motion cluster together, producing fractal aggregates with characteristic dendritic branching.
* [Fractional Brownian Motion](fractional-brownian-motion.md) - Generalization of Brownian motion governed by a Hurst exponent H in (0,1) that controls long-range dependence and the roughness of sample paths.
* [Hurst Exponent](hurst-exponent.md) - Parameter H in (0,1) characterizing long-range dependence and the roughness/persistence of a time series; relates to fractal dimension via D = 2 - H for 1D signals.
* [Percolation Theory](percolation-theory.md) - Branch of statistical physics that studies connectivity in random media, near the critical threshold producing fractal clusters.
* [Pink Noise](pink-noise.md) - Random signal whose power spectral density is inversely proportional to frequency; a 1D fractal noise widely observed in natural systems.