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physics.ed-ph2004
A Billiard-Theoretic Approach to Elementary 1d Elastic Collisions
S. Redner
A simple relation is developed between elastic collisions of freely-moving point particles in one dimension and a corresponding billiard system. For two particles with masses m_1 a…
physics.ed-ph2003
Random Walk with Shrinking Steps
P. L. Krapivsky, S. Redner
We outline basic properties of a symmetric random walk in one dimension, in which the length of the nth step equals lambda^n, with lambda<1. As the number of steps N-->oo, the prob…