Pinned Ball, Foldings and Particle Collisions 

Shuntao Chen (UW)
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THO 119
In the foldings part, we estimated the convergence rate for the folding model on the unit sphere in \(R^n\). This is a toy model for the coupling approach to the convergence rate in densely packed pinned billiard balls on a torus. In the particle collisions part, we gave the asymptotic formula for the collision location of two sample particles with fixed initial locations and velocities distributed according to the microcanonical ensemble formula.
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