28 citations · 62 across the 29 of their papers we have counts for
Showing 2010 · math.DSShow all
2 papers · 2 filters
math.DS2010★ 1 cited
Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinder
Pavel Bleher, Mikhail Lyubich, Roland Roeder
In a classical work of the 1950's, Lee and Yang proved that the zeros of the partition functions of a ferromagnetic Ising models always lie on the unit circle. Distribution of thes…
math.DS2010
A dichotomy for Fatou components of polynomial skew products
Roland K. W. Roeder
We consider polynomial maps of the form f(z,w) = (p(z),q(z,w)) that extend as holomorphic maps of CP^2. Mattias Jonsson introduces in (Math. Ann., 1999) a notion of connectedness f…