ar X iv : m at h . C O / 0 41 16 10 v 1 2 7 N ov 2 00 4 CHAIN POLYNOMIALS OF DISTRIBUTIVE LATTICES ARE 75 %

ar X iv : h ep - p h / 00 11 11 7 v 1 8 N ov 2 00 0 1 ( Mis ) Understanding the Atmospheric Neutrino Anomaly

ar X iv : m at h - ph / 0 01 10 16 v 1 1 0 N ov 2 00 0 CORRELATIONS BETWEEN ZEROS AND SUPERSYMMETRY

We complete the computations in [BSZ2] and give a supersymmetric formula for the scaling limit correlation functions for simultaneous zeros of generalized polynomials. We also give an explicit formula for the scaling limit pair correlation function for the point case in all dimensions.

ar X iv : 0 71 1 . 14 20 v 1 [ m at h . O A ] 9 N ov 2 00 7 Finite - dimensional Hopf C - bimodules and C - pseudo - multiplicative unitaries

Finite quantum groupoids can be described in many equivalent ways [8, 11, 16]: In terms of the weak Hopf C -algebras of Böhm, Nill, and Szlachányi [2] or the finite-dimensional Hopf-von Neumann bimodules of Vallin [14], and in terms of finite-dimensional multiplicative partial isometries [4] or the finite-dimensional pseudo-multiplicative unitaries of Vallin [15]. In this note, we show that in ...

ar X iv : m at h / 04 05 17 6 v 3 [ m at h . R T ] 1 7 N ov 2 00 4 QUANTIZED SYMPLECTIC OSCILLATOR ALGEBRAS OF RANK ONE

A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with Uq(sl2). We study its representation theory, and in particular, its category O.

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.