ar X iv : 0 81 1 . 04 65 v 1 [ m at h . A P ] 4 N ov 2 00 8 Spurious caustics of Dispersion Relation Preserving schemes

ar X iv : 0 81 1 . 27 54 v 1 [ m at h . L O ] 1 7 N ov 2 00 8 A semantics for obligations ∗

We attack two problems here: First, we want to combine a modal accessibility relation with a preferential relation in a modal language. This problem is solved by adding a complementary modality. Second, we want to characterize obligations syntactically and semantically. This problem is solved sytactically by suitable disjunctions of conjunctions but not negations. Semantically, we define a Hamm...

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 : m at h / 04 11 35 1 v 2 [ m at h . A T ] 1 7 N ov 2 00 4 POINCARÉ SUBMERSIONS

We prove two kinds of fibering theorems for maps X → P , where X and P are Poincaré spaces. The special case of P = S yields a Poincaré duality analogue of the fibering theorem of Browder and Levine.

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 : 0 81 1 . 23 46 v 2 [ m at h . A G ] 1 6 N ov 2 00 8 EFFECTIVE ALGEBRAIC DEGENERACY

We prove that any nonconstant entire holomorphic curve f : C → X in a projective algebraic hypersurface X ⊂ P(C) of arbitrary dimension n > 2 must be algebraically degenerate if X is generic and if its degree satisfies the effective lower bound degX > n n+5 . Table of contents