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math.DS2017★ 1 cited
Invisible Tricorns in Real Slices of Rational Maps
Russell Lodge, Sabyasachi Mukherjee
One of the conspicuous features of real slices of bicritical rational maps is the existence of Tricorn-type hyperbolic components. Such a hyperbolic component is called invisible i…
math.DS2017
Quadratic Thurston maps with few postcritical points
Gregory Kelsey, Russell Lodge
We use the theory of self-similar groups to enumerate all combinatorial classes of non-exceptional quadratic Thurston maps with fewer than five postcritical points. The enumeration…