340 citations · 642 across the 20 of their papers we have counts for
22 papers
Regularity of characteristic exponents and linear response for transfer operator cocycles
Julien Sedro, Hans Henrik Rugh
We consider cocycles obtained by composing sequences of transfer operators with positive weights, associated with uniformly expanding maps (possibly having countably many branches)…
Ratio ergodic theorems: From Hopf to Birkhoff and Kingman
Hans Henrik Rugh, Damien Thomine
Hopf's ratio ergodic theorem has an inherent symmetry which we exploit to provide a simplification of standard proofs of Hopf's and Birkhoff's ergodic theorems. We also present a r…
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…
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…
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…
Kneading with weights
Hans Henrik Rugh, Lei Tan
We generalise Milnor-Thurston's kneading theory to the setting of piecewise continuous and monotone interval maps with weights. We define a weighted kneading determinant ${\cal D}(…