ar X iv : 0 71 1 . 27 39 v 1 [ m at h . N T ] 1 9 N ov 2 00 7 ASYMPTOTIC COHOMOLOGY OF CIRCULAR UNITS

ar X iv : 0 71 1 . 23 72 v 1 [ m at h . G R ] 1 5 N ov 2 00 7 Braid groups and Artin groups

ar X iv : 0 71 1 . 28 84 v 1 [ m at h . R T ] 1 9 N ov 2 00 7 UNIQUENESS AND DISJOINTNESS OF KLYACHKO MODELS

We show the uniqueness and disjointness of Klyachko models for GLn over a non-archimedean local field. This completes, in particular, the study of Klyachko models on the unitary dual. Our local results imply a global rigidity property for the discrete automorphic spectrum.

ar X iv : 0 71 1 . 41 28 v 1 [ m at h - ph ] 2 6 N ov 2 00 7 Mean field limit for bosons and infinite dimensional phase - space analysis

This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.

ar X iv : 0 71 1 . 26 95 v 1 [ m at h . SP ] 1 6 N ov 2 00 7 REGULARITY AND THE CESÀRO – NEVAI CLASS

We consider OPRL and OPUC with measures regular in the sense of Ullman–Stahl–Totik and prove consequences on the Jacobi parameters or Verblunsky coefficients. For example, regularity on [−2, 2] implies lim N →∞ N −1 [ N n=1 (a n −1) 2 +b 2 n ] = 0.

ar X iv : 0 71 1 . 32 82 v 1 [ he p - ph ] 2 1 N ov 2 00 7 Study of Pure Annihilation Decays B d , s → D 0 D 0

With heavy quark limit and hierarchy approximation λ QCD ≪ m D ≪ m B , we analyze the