The \(K\)-property of \(N\)-billiard balls. II: Computation of neutral linear spaces
The present second part [part I: ibid. 108, No. 3, 521-548 (1992; Zbl 0759.58029)] finishes the proof of the Kolmogorov mixing property for hard ball systems in tori, provided that the number of balls does not exceed the dimension of the torus. The missing computation of the linear spaces of non-expanding and non-contracting tangent vectors at phase points with combinatorially rich symbolic collision sequences is presented hereby.
discontinuous hyperbolic dynamical system
scientific article; zbMATH DE number 167391