4 problems
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Pilgrim's conjecture on canonical decompositions and Thurston obstructions
A post-critically finite branched covering of the Riemann sphere may admit stable multicurves and a canonical decomposition in the sense of Pilgrim. A canonical Thurston obstructio…
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Absence of totally non-hyperbolic minimal unimodal examples
Consider the classification of figures by dynamic type and topological shape, and let a totally non-hyperbolic unimodal case mean a unimodal combinatorial case that is totally non-…
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Total non-hyperbolicity conjecture for minimal unimodal combinatorics
Let a minimal unimodal combinatorics be a minimal combinatorial type in the unimodal region, and call it unobstructed when it is realized by the corresponding quadratic dynamical s…
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Strongly obstructed combinatorics limit conjecture
Consider strongly obstructed combinatorics in the bimodal regions of topological shapes and , and let denote the moduli coordinates. In the unimodal ca…