Maximal Codimension Collisions and Invariant Measures for Hard Spheres on a Line
Mark Wilkinson
Abstract:For any $$N\ge 3$$
N
≥
3
, we study invariant measures of the dynamics of N hard spheres whose centres are constrained to lie on a line. In particular, we study the invariant submanifold $$\mathcal {M}$$
M
of the tangent bundle of the hard sphere billiard table comprising initial data that lead to the simultaneous collision of all N hard spheres. Firstly, we obtai… Show more
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