ar X iv : m at h - ph / 0 61 10 16 v 1 8 N ov 2 00 6 Topology and Bistability in liquid crystal devices

X iv : m at h - ph / 0 61 10 16 v 1 8 N ov 2 00 6 Topology and Bistability in liquid crystal devices

We study nematic liquid crystal configurations in a prototype bistable device the Post Aligned Bistable Nematic (PABN) cell [9]. Working within the Oseen-Frank continuum model, we describe the liquid crystal configuration by a unit-vector field n, in a model version of the PABN cell. Firstly, we identify four distinct topologies in this geometry. We explicitly construct trial configurations wit...

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : 1 61 1 . 00 87 9 v 1 [ m at h - ph ] 3 N ov 2 01 6 Stable laws for chaotic billiards with cusps at flat points ∗ PAUL

We consider billiards with a single cusp where the walls meeting at the vertex of the cusp have zero one-sided curvature, thus forming a flat point at the vertex. For Hölder continuous observables, we show that properly normalized Birkoff sums, with respect to the billiard map, converge in law to a totally skewed α-stable law.

ar X iv : 0 81 1 . 12 76 v 1 [ m at h - ph ] 8 N ov 2 00 8 Correlation Functions for β = 1 Ensembles of Matrices of Odd Size

Using the method of Tracy and Widom we rederive the correlation functions for β = 1 Hermitian and real asymmetric ensembles of N ×N matrices with N odd.

ar X iv : h ep - p h / 00 11 16 3 v 3 2 8 N ov 2 00 0 SLAC - PUB - 8707 hep - ph / 0011163 November 2000 Challenges in

We give an personal overview of some of the unsolved problems related to hyperon decays. We cover nonleptonic decays, radiative decays and magnetic moments. Some of the theoretical issues are also touched upon.