Search Results - "Pilgrim, Kevin M."

Boundedness of hyperbolic components of Newton maps by Nie, Hongming, Pilgrim, Kevin M.

“…We investigate boundedness of hyperbolic components in the moduli space of Newton maps. For quartic maps, (i) we prove hyperbolic components possessing two…”
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Rationality is decidable for nearly Euclidean Thurston maps by Floyd, William, Parry, Walter, Pilgrim, Kevin M.

“…Nearly Euclidean Thurston (NET) maps are described by simple diagrams which admit a natural notion of size. Given a size bound C , there are finitely many…”
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Pullback invariants of Thurston maps by Koch, Sarah, Pilgrim, Kevin M., Selinger, Nikita

“…Associated to a Thurston map f: S^2 \to S^2 are several different invariants obtained via pullback: a relation \mathcal {S}_{P} {\stackrel {f}{\longleftarrow…”
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Minimal Ahlfors regular conformal dimension of coarse expanding conformal dynamics on the sphere by Haïssinsky, Peter, Pilgrim, Kevin M.

“…Suppose that f:S^{2}\to S^{2} determines a dynamical system on the sphere which is topologically coarse expanding conformal in the sense of our previous work…”
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Expansion properties for finite subdivision rules I by Floyd, William J., Parry, Walter R., Pilgrim, Kevin M.

“…Among Thurston maps (orientation-preserving, postcritically finite branched coverings of the 2-sphere to itself), those that arise as subdivision maps of a…”
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Origami, Affine Maps, and Complex Dynamics by Floyd, William, Kelsey, Gregory, Koch, Sarah, Lodge, Russell, Parry, Walter, Pilgrim, Kevin M., Saenz, Edgar

“…We investigate the combinatorial and dynamical properties of so-called nearly Euclidean Thurston maps , or NET maps . These maps are perturbations of…”
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An algebraic formulation of Thurston's combinatorial equivalence by Pilgrim, Kevin M.

“…Let f:S^2 \to S^2 be an orientation-preserving branched covering for which the set P_f of strict forward orbits of critical points is finite and let…”
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Thurston obstructions and Ahlfors regular conformal dimension by Haïssinsky, Peter, Pilgrim, Kevin M.

“…Let f : S 2 → S 2 be a postcritically finite expanding branched covering map of the sphere to itself. Associated to f is a canonical quasisymmetry class G ( f…”
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Conformal surface embeddings and extremal length by Kahn, Jeremy, Pilgrim, Kevin M., Thurston, Dylan P.

“…Given two Riemann surfaces with boundary and a homotopy class of topological embeddings between them, there is a conformal embedding in the homotopy class if…”
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Polynomial Basins of Infinity by DeMarco, Laura, Pilgrim, Kevin M.

“…We study the projection which sends an affine conjugacy class of polynomial to the holomorphic conjugacy class of the restriction of f to its basin of…”
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Correspondences on Riemann surfaces and non-uniform hyperbolicity by Bartholdi, Laurent, Dudko, Dzmitry, Pilgrim, Kevin M

“…We consider certain analytic correspondences on a Riemann surface, and show that they admit a weak form of expansion. In terms of their algebraic encoding by…”
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On the pullback relation on curves induced by a Thurston map by Pilgrim, Kevin M

“…Via taking connected components of preimages, a Thurston map $f: (S^2, P_f) \to (S^2, P_f)$ induces a pullback relation on the set of isotopy classes of curves…”
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Smale’s Mean Value Conjecture and Complex Dynamics by Miles-Leighton, Hayley, Pilgrim, Kevin M.

“…A version of the Smale Mean Value conjecture asserts that for a non-linear complex polynomial of the form , there exists a critical point c of f for which . It…”
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On the non-monotonicity of entropy for a class of real quadratic rational maps by Filom, Khashayar, Pilgrim, Kevin M

“…Journal of Modern Dynamics 16 (2020), 225--254 We prove that the entropy function on the moduli space of real quadratic rational maps is not monotonic by…”
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Ahlfors-regular conformal dimension and energies of graph maps by Pilgrim, Kevin M, Thurston, Dylan P

“…For a hyperbolic rational map $f$ with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set $J_f$…”
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Bounded hyperbolic components of bicritical rational maps by Nie, Hongming, Pilgrim, Kevin M

“…We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli…”
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Canonical Thurston Obstructions by Pilgrim, Kevin M.

“…We refine Douady and Hubbard's proof of Thurston's topological characterization of rational functions by proving the following theorem. Let f:S2→S2 be a…”
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Boundedness of Hyperbolic Components of Newton Maps by Nie, Hongming, Pilgrim, Kevin M

“…We investigate boundedness of hyperbolic components in the moduli space of Newton maps. For quartic maps, (i) we prove hyperbolic components possessing two…”
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Expansion properties for finite subdivision rules II by Floyd, William, Parry, Walter, Pilgrim, Kevin M

“…We prove that every sufficiently large iterate of a Thurston map which is not doubly covered by a torus endomorphism and which does not have a Levy cycle is…”
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Rationality is decidable for nearly Euclidean Thurston maps by Floyd, William, Parry, Walter, Pilgrim, Kevin M

“…Nearly Euclidean Thurston (NET) maps are described by simple diagrams which admit a natural notion of size. Given a size bound $C$, there are finitely many…”
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