Brownian Motion Simulator

The Brownian Motion Simulator is an educational and interactive tool for visualizing stochastic processes, specifically Brownian motion, via an intuitive web interface.

Developed as a solo project, this app demonstrates how varying the drift (μ), diffusion (σ), number of steps (n), and time interval (k) affects the behavior of a simulated random particle trajectory.

The simulator uses mathematical foundations from stochastic calculus, based on the stochastic differential equation (SDE) dX(t) = μ dt + σ dW(t), and is geared toward students.

Key features:

• Graphing of brownian motion with adjustable parameters
• Clear visualization of stochastic trends and volatility
• Mathematical context provided via concise educational content
• Fully responsive and visually clean UI