Null Structures and Degenerate Dispersion Relations in Two Space Dimensions

Continuity in two dimensions for a very degenerate elliptic equation

An elliptic equation ∇· (F (∇u)) = f whose ellipticity strongly degenerates for small values of ∇u (say, F = 0 on B(0, 1)) is considered. The aim is to prove regularity for F (∇u). The paper proves a continuity result in dimension two and presents some applications.

Fermi Liquids in Two Space Dimensions

Marginal extended perturbations in two dimensions and gap – exponent relations

The most general form of a marginal extended perturbation in a two– dimensional system is deduced from scaling considerations. It includes as particular cases extended perturbations decaying either from a surface, a line or a point for which exact results have been previously obtained. The first–order corrections to the local exponents, which are functions of the amplitude of the defect, are de...

Diagonal Tuple Space Search in Two Dimensions

Due to the evolution of the Internet and its services, the process of forwarding packets in routers is becoming more complex. In order to execute the sophisticated routing logic of modern firewalls, multidimensional packet classification is required. Unfortunately, the multidimensional packet classification algorithms are known to be either time or storage hungry in the general case. It has bee...

Gluonic states in two space dimensions

We discuss the “spectroscopy” of gluonic states in systems with two space dimensions, using simple models to mimic the results of lattice gauge theory computations. We first discuss the quantum numbers of these systems, including charge conjugation. Two types of systems are discussed in detail: “gluelumps” which have a heavy adjoint color charge at the origin and glueballs which are composed en...