Publication: Entropy and the clique polynomial
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Date
2014
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Oxford University Press (OUP)
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McMullen, C. T. 2014. “Entropy and the Clique Polynomial.” Journal of Topology 8 (1) (November 28): 184–212. doi:10.1112/jtopol/jtu022.
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Abstract
This paper gives a sharp lower bound on the spectral radius ρ(A) of a reciprocal Perron–Frobenius matrix A ∈ M2g(Z), and shows in
particular that ρ(A) g ≥ (3 + √ 5)/2. This bound supports conjectures on the minimal entropy of pseudo-Anosov maps. The proof is based
on a study of the curve complex of a directed graph.
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