Universal spectral features of different classes of random diffusivity processes
Abstract
Tête-à-tête graphs and relative tête-à-tête graphs were introduced by N.
A’Campo in 2010 to model monodromies of isolated plane curves. By recent work of
Fdez de Bobadilla, Pe Pereira and the author, they provide a way of modeling the periodic
mapping classes that leave some boundary component invariant. In this work we introduce
the notion of general tête-à-tête graph and prove that they model all periodic mapping
classes. We also describe algorithms that take a Seifert manifold and a horizontal surface
and return a tête-à-tête graph and vice versa.