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Pretty Pictures
Pretty Pictures
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).