340 citations · 642 across the 20 of their papers we have counts for
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math.CV2015★ 7 cited
Rational maps as Schwarzian primitives
Guizhen Cui, Yan Gao, Lei Tan +1
We study necessary and sufficient conditions for a meromorphic quadratic differential with prescribed poles to be the Schwarzian derivative of a rational map. We give geometric int…
math.DS2015
Entropy-continuity for interval maps with holes
Oscar F. Bandtlow, Hans Henrik Rugh
We study the dependence of the topological entropy of piecewise monotonic maps with holes under perturbations, for example sliding a hole of fixed size at uniform speed or expandin…
math.DS2015★ 9 cited
The Milnor-Thurston determinant and the Ruelle transfer operator
Hans Henrik Rugh
The topological entropy of a continuous piecewise monotone interval map measures the exponential growth in the number of monotonicity intervals for iterates of the ma…