CRM: Centro De Giorgi
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60 years of dynamics and number expansions

Natural extensions for some generalized $\alpha$-continued fractions

speaker: Tom Schmidt (Oregon State University)

abstract: For each Fuchsian triangle group of signature $(3, n, \infty), n>3$ and each $\alpha \in 0,1$ we associate a continued fraction map. For each, we construct a planar extension. We show how such extensions can be used to prove eventual expansiveness and ergodicity of the maps (with respect to the marginal measures of the planar systems). In particular, the extensions are the natural extensions of the maps. This is joint work with C. Kraaikamp, and with K. Calta.


timetable:
Fri 14 Dec, 10:00 - 10:45, Aula Dini
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