Coxeter groups, Salem numbers and the Hilbert metric
Dynamics on blowups of the projective plane
Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations
The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology
Trees and the dynamics of polynomials
In this paper we study branched coverings of metrized, simplicial trees which arise from polynomial maps with disconnected Julia sets. We show that the collection of all such trees, up to scale, forms a contractible space compactifying the moduli space of polynomials of degree ; that records the asymptotic behavior of the multipliers of ; and that any meromorphic family of polynomials over can be completed by a unique tree at its central fiber. In the cubic case we give a combinatorial...
Rigidity and inflexibility in conformal dynamics.
The moduli space of Riemann surfaces is Kähler hyperbolic.
Elder siblings and the taming of hyperbolic 3-manifolds.
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