Alexandre Dezotti

activity

20092020

most citedOn (non-)local-connectivity of some Julia sets

8 citations · 19 across the 6 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DS2020★ 6 cited

Some connections of complex dynamics

Alexandre DeZotti

We survey some of the connections linking complex dynamics to other fields of mathematics and science. We hope to show that complex dynamics is not just interesting on its own but…

math.DS2020★ 2 cited

Dimension paradox of irrationally indifferent attractors

Davoud Cheraghi, Alexandre DeZotti, Fei Yang

We prove that for an infinite dimensional class of holomorphic maps with an elliptic fixed point, the post-critical set has Hausdorff dimension two, provided the rotation number is…

math.DS2020★ 2 cited

Eventual hyperbolic dimension of entire functions and Poincaré functions of polynomials

Alexandre DeZotti, Lasse Rempe-Gillen

Let $P : C \to C$ be an entire function. A Poincaré function $L : C \to C$ of $P$ is the entire extension of a linearising coord…