Entropy and the clique polynomial

By Curtis T. McMullen. 2015

51 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8910c0b3f67753d7b210d40a13073c7f3c0cfe1a