Tuning and plateaux for the entropy of α-continued fractions
Carminati, Carlo · Tiozzo, Giulio
Original · EN
The entropy h(Tα) of α-continued fraction transformations is known to be locally monotone outside a closed, totally disconnected set. We will exploit the explicit description of the fractal structure of to investigate the self-similarities displayed by the graph of the function α h(Tα). Finally, we completely characterize the plateaux occurring in this graph, and classify the local monotonic behaviour.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.