Brownian skier on the Sochi DEM

The skier follows an overdamped Langevin dynamics on a digital elevation model of the Roza Khutor to Sirius corridor:

dx = -\nabla h(x)\,dt + \sigma\,dW

The drift term moves the point downhill; the Brownian term adds controllable noise, so larger \sigma makes the trajectory explore the terrain instead of sliding along one deterministic descent line.

Simulation fps 60 Brownian noise, σ 10.0

Loading Sochi DEM...

Elevation ... Position ...

Tap or click the map to set a new starting point.