Wednesday, September 19, 2012

1209.4035 (Christoph Temmel)

Sufficient conditions for absolute convergence of hardcore cluster
expansions
   [PDF]

Christoph Temmel
We present several new sufficient conditions for uniform boundedness of the reduced correlations and free energy of an abstract polymer system in a small complex disc around zero fugacity. In particular, we solve a discrepancy between several known conditions, which are not always comparable, and show how the arise from a common approach. The main tool is an extension of the tree-operator approach introduced by Fern\`{a}ndez & Procacci combined with novel partition schemes of the spanning subgraph complex of a cluster.
View original: http://arxiv.org/abs/1209.4035

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