Carsten Lunde Petersen

activity

20192025

most citedOn the correspondence of external rays under renormalization

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2025

Lemon limbs of the cubic connectedness locus

Carsten Lunde Petersen, Saeed Zakeri

We describe a primary limb structure in the connectedness locus of complex cubic polynomials, where the limbs are indexed by the periodic points of the doubling map $t \mapsto 2t \…

math.DS2024

Buff forms and invariant curves of near-parabolic maps

Carsten Lunde Petersen, Saeed Zakeri

We introduce a general framework to study the local dynamics of near-parabolic maps using the meromorphic $1$ -form introduced by X.~Buff. As a sample application of this setup, we…

math.DS2019★ 1 cited

On the correspondence of external rays under renormalization

Carsten L. Petersen, Saeed Zakeri

Let $P$ be a monic polynomial of degree $D \geq 3$ whose filled Julia set $K_{P}$ has a non-degenerate periodic component $K$ of period $k \geq 1$ and renormalization degree $2 \leq…