ar X iv : c on d - m at / 0 00 80 18 v 1 1 A ug 2 00 0 Introduction to the Bethe Ansatz III

ar X iv : 0 80 3 . 44 39 v 2 [ m at h . D S ] 4 A ug 2 00 8 PERIODIC UNIQUE BETA - EXPANSIONS : THE SHARKOVSKIĬ ORDERING

Let β ∈ (1, 2). Each x ∈ [0, 1 β−1 ] can be represented in the form

ar X iv : n uc l - th / 0 10 80 18 v 1 8 A ug 2 00 1 1 Photon and Electron induced Particle Production on Nuclei ∗

ar X iv : 0 80 8 . 27 24 v 1 [ m at h - ph ] 2 0 A ug 2 00 8 Bosons in Rapid Rotation ∗

Some recent progress in the mathematical physics of rapidly rotating, dilute Bose gases in anharmonic traps is reviewed.

ar X iv : 0 80 4 . 18 38 v 2 [ m at h . D G ] 4 A ug 2 00 8 AHS – STRUCTURES AND AFFINE HOLONOMIES

We show that a large class of non–metric, non–symplectic affine holonomies can be realized, uniformly and without case by case considerations, by Weyl connections associated to the natural AHS–structures on certain generalized flag manifolds.

ar X iv : 0 80 8 . 23 49 v 1 [ m at h . N A ] 1 8 A ug 2 00 8 EULERIAN NUMBERS AND B SPLINES

2000 Mathematics Subject Classification. Primary 65D07; Secondary 11B68.