Showing papers by "Jürg Fröhlich published in 1991"
TL;DR: In this article, the authors discuss the large-scale physics of incompressible Hall fluids from the point of view of universality and symmetry and show that, in the scaling limit, they are described by certain topological Chern-Simons gauge theories.
223 citations
TL;DR: In this paper, it was shown that the theory of the quantum Hall effect is closely related to Chern-Simons gauge theory and to rational conformal field theory, and that the equations of classical electromagnetism in quantum Hall systems are derived from a pure Chern-simons action.
214 citations
TL;DR: In this article, a class of Hamiltonian systems describing an infinite array of coupled anharmonic oscillators was considered, and the bifurcation of periodic orbits off the equilibrium point was studied.
Abstract: We consider a class of Hamiltonian systems describing an infinite array of coupled anharmonic oscillators, and we study the bifurcation of periodic orbits off the equilibrium point. The family of orbits we construct can be parametrized by their periods which belong to Cantor sets of large measure containing certain periods of the linearized problem as accumulation points. The infinitely many holes forming a dense set on which the existence of a periodic orbit cannot be proven originate from a dense set of resonances that are present in the system. We also have a result concerning the existence of solutions of arbitrarily large amplitude.
33 citations