ar X iv : m at h - ph / 0 31 10 28 v 1 1 9 N ov 2 00 3 Conservation Laws and Variational Sequences in Gauge – Natural

ar X iv : m at h - ph / 0 31 10 01 v 4 3 N ov 2 00 4 Clifford Valued Differential Forms , Algebraic Spinor Fields

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 : 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 : m at h - ph / 0 41 10 29 v 1 8 N ov 2 00 4 Augmented Variational Principles and Relative Conservation Laws in Classical Field Theory

Augmented variational principles are introduced in order to provide a definition of relative conservation laws. As it is physically reasonable, relative conservation laws define in turn relative conserved quantities which measure, for example, how much energy is needed in a field theory to go from one configuration (called the reference or vacuum) to another configuration (the physical state of...

ar X iv : m at h - ph / 0 31 10 44 v 1 2 5 N ov 2 00 3 Group Structure of an Extended Poincare Group

In previous papers we extended the Lorentz and Poincare groups to include a set of Dirac boosts that give a direct correspondence with a set of generators which for spin 1/2 systems are proportional to the Dirac matrices. The groups are particularly useful for developing general linear wave equations beyond spin 1/2 systems. In this paper we develop explicit group properties of the extended Poi...