ar X iv : m at h - ph / 9 91 00 17 v 1 1 2 O ct 1 99 9 UNIFORM SPECTRAL PROPERTIES OF ONE - DIMENSIONAL QUASICRYSTALS , III . α - CONTINUITY

ar X iv : m at h - ph / 9 91 00 13 v 1 8 O ct 1 99 9 q - deformed

ar X iv : h ep - l at / 9 91 00 40 v 1 2 5 O ct 1 99 9 RUHN - 99 - 3 The Overlap Dirac Operator ⋆

This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can be implemented.

ar X iv : m at h - ph / 9 91 00 16 v 1 1 1 O ct 1 99 9 GEOMETRICAL AND OPERATIONAL ASPECTS OF IRREVERSIBILITY

In the statistical description of dynamical systems, an indication of the irreversibility of a given state change is given geometrically by means of a (pre-)ordering of state pairs. Reversible state changes of classical and quantum systems are shown to be represented by isometric state transformations. An operational distinction between reversible and irreversible dynamics is given and related ...

ar X iv : m at h - ph / 9 90 80 30 v 2 2 1 O ct 1 99 9 Nonlinear Hodge maps

We consider maps between Riemannian manifolds in which the map is a stationary point of the nonlinear Hodge energy. The variational equations of this functional form a quasilinear, nondiagonal, nonuniformly elliptic system which models certain kinds of compressible flow. Conditions are found under which singular sets of prescribed dimension cannot occur. Continuity results are given for the tra...

ar X iv : m at h - ph / 0 11 00 12 v 1 9 O ct 2 00 1 Functional Equations and Poincare Invariant Mechanical Systems

We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincaré algebra: