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math.DS2016
The Infimum of Lipschitz Constants in the Conjugacy Class of an Interval Map
Jozef Bobok, Samuel Roth
How can we interpret the infimum of Lipschitz constants in a conjugacy class of interval maps? For positive entropy maps, the exponential of the topological entropy gives a well-kn…
math.DS2016
Constant Slope Maps on the Extended Real Line
Michał Misiurewicz, Samuel Roth
For a transitive countably piecewise monotone Markov interval map we consider the question whether there exists a conjugate map of constant slope. The answer varies depending on wh…