69 citations · 505 across the 27 of their papers we have counts for
27 papers
The Collatz Problem generalized to 3x+k
Franz Wegner
The Collatz problem with is revisited. Positive and negative limit cycles are given up to k=9997 starting with . A simple relation between the…
From Elastica to Floating Bodies of Equilibrium
Franz Wegner
A short historical account of the curves related to the two-dimensional floating bodies of equilibrium and the bicycle problem is given. Bor, Levi, Perline and Tabachnikov found, q…
In memory of Leo P. Kadanoff
Franz J. Wegner
Leo Kadanoff has worked in many fields of statistical mechanics. His contributions had an enormous impact. This holds in particular for critical phenomena, where he explained Widom…
Duality in generalized Ising models
Franz J. Wegner
This paper rests to a large extend on a paper I wrote some time ago on 'Duality in generalized Ising models and phase transitions without local order parameter'. It deals with Isin…
Electromagnetic Waves in a Model with Chern-Simons Potential
D. Yu. Pis'mak, Yu. M. Pis'mak, F. J. Wegner
We investigate the appearance of Chern-Simons terms in electrodynamics at the surface/interface of materials. The requirement of locality, gauge invariance and renormalizability in…
Inhomogeneous Fixed Point Ensembles Revisited
Franz J. Wegner
The density of states of disordered systems in the Wigner-Dyson classes approaches some finite non-zero value at the mobility edge, whereas the density of states in systems of the…