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Stein neighborhoods of graphs of holomorphic mappings
Plurisubharmonic functions pluripotential theory
2011/9/20
Abstract: In this paper we provide sufficient conditions for the graphs of holomorphic mappings on compact sets in complex manifolds to have Stein neighborhoods. We show that under these conditions th...
Quasisymmetric graphs and Zygmund functions
Quasiconformal maps Zygmund functions generalized variation Complex Variables
2011/9/5
Abstract: A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a ge...
Exact Potts Model Partition Functions on Ladder Graphs
Exact Potts Model Partition Functions Ladder Graphs
2010/11/2
We present exact calculations of the partition function $Z$ of the $q$-state Potts model and its generalization to real $q$, the random cluster model, for arbitrary temperature on $n$-vertex ladder gr...