Here are some pictures of the objects that I work with.
Evolving particle paths in the Brownian conga line.
The Brownian conga line for 10,000 steps (red) and 9900 steps (blue). (courtesy: Krzysztof Burdzy).
Reflection coupling of two Brownian motions (courtesy: Wilfrid Kendall)Gravitation versus Brownian motion. Blue: path of inert particle, red: path of Brownian particle, black: gap between particles, green: velocity of inert particle. (courtesy: Mauricio Duarte)
Unit ball in the Heisenberg group (taken from “An introduction to the geometry of stochastic flows” by Fabrice Baudoin).