# On number of collisions of billiard balls

Chris Burdzy, UW
Tuesday, April 11, 2017 - 1:30pm to 3:30pm

Krzysztof Burdzy

Consider three billiard balls of the same radius and mass, undergoing totally elastic reflections on a billiard table with no walls (the whole plane).  All three balls can be given non-zero initial velocities.  What is the maximum (supremum) possible number of collisions among the three balls?  The supremum is taken over all initial positions and initial velocities.  I will discuss this problem and its generalization to any finite family of balls in one, two and higher dimensions.

Joint work with Mauricio Duarte.

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