0 A ug 2 00 7 Classification of outer actions of Z N on O 2

Classification of Outer Actions of Z N on O 2

We will show that any two outer actions of Z on O2 are cocycle conjugate.

A ug 2 00 6 Classification of Z m p k orientation preserving actions on surfaces

In this article we classify actions of the groups Z pk (p is a prime integer) on compact oriented surfaces.

nd - m at . s up r - co n ] 2 9 A ug 2 00 2 Direct Correlation between Tc and CuO 2 Bilayer Spacing in YBa 2 Cu 3 O 7 − x

0 A ug 2 00 7 ON FIXED POINTS OF PERMUTATIONS

The number of fixed points of a random permutation of {1, 2, . . . , n} has a limiting Poisson distribution. We seek a generalization, looking at other actions of the symmetric group. Restricting attention to primitive actions, a complete classification of the limiting distributions is given. For most examples, they are trivial – almost every permutation has no fixed points. For the usual actio...

A ug 2 00 0 August 31 , 2000 Proof of the Boltzmann - Sinai Ergodic Hypothesis for Typical Hard Disk Systems

We consider the system of N (≥ 2) hard disks of masses m1, . . . , mN and radius r in the flat unit torus T. We prove the ergodicity (actually, the B-mixing property) of such systems for almost every selection (m1, . . . , mN ; r) of the outer geometric parameters. Primary subject classification: 37D50 Secondary subject classification: 34D05