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Applied
Math Seminar NYU |
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We study the evolution of a 1-D system of particles. The particles have random initial velocities, coallesce through inelastic collisions, and evolve under a 1-D graviatational potential. In particular, we study the evolution of the mass distibution for the system. We find a non-random critical time which seperates two different mass distribution regimes. The mass distribution at the critical time can be described in terms of functionals of Brownian motion and some aspects of the asymptotic theory of random permutations. |