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19922026
most citedGeneralized Global Symmetries

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hep-th1992★ 34 cited

Construction of Modular Branching Functions from Bethe's Equations in the 3-State Potts Chain

Rinat Kedem, Barry M. Mccoy

We use the single particle excitation energies and the completeness rules of the 3-state anti-ferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute…

math.DS1992★ 1 cited

Optical Hamiltonians and symplectic twist maps

Christopher Golé

This paper concentrates on optical Hamiltonian systems of $T*\T^n$, i.e. those for which $\Hpp$ is a positive definite matrix, and their relationship with symplectic twist maps. We…

hep-th1992★ 6 cited

Thermodynamics of the 3-State Potts Spin Chain

Rinat Kedem

We demonstrate the relation of the infrared anomaly of conformal field theory with entropy considerations of finite temperature thermodynamics for the 3-state Potts chain. We compu…

math.DS1992★ 125 cited

Local connectivity of Julia sets: expository lectures

John W. Milnor

The following notes provide an introduction to recent work of Branner, Hubbard and Yoccoz on the geometry of polynomial Julia sets. They are an expanded version of lectures given i…

hep-th1992★ 9 cited

Electrodynamics in the presence of an axion

Claudio Coriano'

The low energy limit of an axion field coupled to gauge fields is investigated through the behaviour of the gauge field propagator in a local vaccum angle background. The local (si…

math.DS1992★ 5 cited

The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets

Mitsuhiro Shishikura

It is shown that the boundary of the Mandelbrot set has Hausdorff dimension two and that for a generic $c \in \bM$, the Julia set of also has Hausdorff dimens…

math.DS1992★ 1 cited

New examples of manifolds with completely integrable geodesic flows

Gabriel Paternain, Ralf J. Spatzier

We construct Riemannian manifolds with completely integrable geodesic flows, in particular various nonhomogeneous examples. The methods employed are a modification of Thimm's metho…

math.DS1992★ 44 cited

The Julia sets and complex singularities in hierarchical Ising models

Pavel Bleher, Mikhail Lyubich

We study the analytical continuation in the complex plane of free energy of the Ising model on diamond-like hierarchical lattices. It is known that the singularities of free energy…