作者：KRAMLI, A; SIMANYI, N; SZASZ, D
摘要：Sinai's strengthened version of the ergodic hypothesis is proved for three billiard balls (i.e., three elastic hard balls) on the nu-dimensional torus: On connected components of the submanifold of the phase space specified by the trivial conservation laws of the energy and of the trajectory of the center of mass, the system is a K-flow. To cope with the difficulty that in the isomorphic one-particle-billiard system the scatterers are only convex, in contrast to the case of two billiard balls ...
作者：FRIEDLAND, S
摘要：In this note we define an entropy of rational maps of a smooth projective variety X to itself in terms of the growth rate of the volumes of its subvarieties. We give a formula for this entropy in terms of the spectral radius of the iterates of the induced maps on the homology subgroups of X generated by analytic cycles. In the case of holomorphic maps we show that this entropy is the standard entropy which is equal to the log of the spectral radius of the induced map on the homology.
作者：BENEDICKS, M; CARLESON, L
