Entropy and the clique polynomial

DOI10.1112/jtopol/jtu022zbMath1353.37033OpenAlexW2115026042MaRDI QIDQ5179530

Curtis T. McMullen

Publication date: 20 March 2015

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: http://nrs.harvard.edu/urn-3:HUL.InstRepos:24890382

zbMATH Keywords

entropydirected graphcurve complexclique polynomialreciprocal Perron-Frobenius matrix

Mathematics Subject Classification ID

Graph polynomials (05C31) Topological entropy (37B40)

Related Items (17)

Lengths spectrum of hyperelliptic components ⋮ Thermodynamic metrics on outer space ⋮ Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups ⋮ McMullen polynomials and Lipschitz flows for free-by-cyclic groups ⋮ A transcendental invariant of pseudo-Anosov maps ⋮ The Reciprocal Algebraic Integers Having Small House ⋮ Notes on the values of volume entropy of graphs ⋮ On the minimal spectral radii of skew-reciprocal integer matrices ⋮ Orientable maps and polynomial invariants of free-by-cyclic groups ⋮ Flows, growth rates, and the veering polynomial ⋮ A polynomial invariant for veering triangulations ⋮ Equilibrium states and growth of quasi-lattice ordered monoids ⋮ Canonical measures on metric graphs and a Kazhdan's theorem ⋮ Uniform growth rate ⋮ An algorithm to compute the Teichmüller polynomial from matrices ⋮ Pseudo-Anosov maps with small stretch factors on punctured surfaces ⋮ Continuity of core entropy of quadratic polynomials

Cites Work

• Unnamed Item
• Clique polynomials have a unique root of smallest modulus
• Pseudo-Anosov braids with small entropy and the magic 3-manifold
• A Weil-Petersson type metric on spaces of metric graphs
• On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus
• Small dilatation mapping classes coming from the simplest hyperbolic braid
• Closed surface bundles of least volume
• Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds
• Moduli of graphs and automorphisms of free groups
• Geometric intersection functions and Hamiltonian flows on the space of measured foliations on a surface
• McMullen polynomials and Lipschitz flows for free-by-cyclic groups
• Geometry of the complex of curves. I: Hyperbolicity
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Digraphs and cycle polynomials for free-by-cyclic groups
• Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior
• The Patterson-Sullivan embedding and minimal volume entropy for outer space.
• Combinatorial problems of commutation and rearrangements
• Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations
• The smallest Perron numbers
• The entropies of topological Markov shifts and a related class of algebraic integers
• Bounds on Least Dilatations
• The Minimum Dilatation of Pseudo-Anosov 5-Braids
• Minimal volume entropy for graphs
• The Minimal Dilatation of a Genus-Two Surface
• The maximal modulus of an algebraic integer
• The spectra of nonnegative integer matrices via formal power series
• The Number of Words of Length n in a Graph Monoid
• Minimal entropy and Mostow's rigidity theorems
• Note on the Smallest Root of the Independence Polynomial

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