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 ε 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. © 2013 IOP Publishing Ltd & London Mathematical Society.
Tuning and plateaux for the entropy of α-continued fractions / Carminati, C.; Tiozzo, G.. - In: NONLINEARITY. - ISSN 0951-7715. - 26:4(2013), pp. 1049-1070. [10.1088/0951-7715/26/4/1049]
Tuning and plateaux for the entropy of α-continued fractions
Tiozzo G.
2013
Abstract
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 ε 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. © 2013 IOP Publishing Ltd & London Mathematical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
