Dynamics of a Julia sets which contains a Cantor set of quasicircles. Part II [ Back ]

Date:
11.06.20   
Times:
16:00 to 17:00
Place:
on-line
Speaker:
Jordi Canela
University:
Centre de Recerca Matemàtica


Abstract:

In this talk we will present a family of rational maps obtained by applying the Chebyshev-Halley family of root-finding algorithms to $z^3-1$. We will show that, for certain parameters, these maps can be studied from the point of view of singular perturbations. We will also show that, for such parameters, the corresponding Julia sets can be locally connected and contain Cantor sets of quasicircles.