704 citations · 2.4k across the 64 of their papers we have counts for
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math.DS2014★ 2 cited
The local Hoelder exponent for the dimension of invariant subsets of the circle
Carlo Carminati, Giulio Tiozzo
We consider for each t the set K(t) of points of the circle whose forward orbit for the doubling map does not intersect (0,t), and look at the dimension function eta(t) := H.dim K(…
math.DS2014★ 1 cited
Continuity of core entropy of quadratic polynomials
Giulio Tiozzo
The core entropy of polynomials, recently introduced by W. Thurston, is a dynamical invariant which can be defined purely in combinatorial terms, and provides a useful tool to stud…