Carsten Lunde Petersen

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math.DS2025

On qc compatibility of satellite copies of the Mandelbrot set: II

Luna Lomonaco, Carsten Lunde Petersen

The Mandelbrot set is a fractal which classifies the behaviour of complex quadratic polynomials. Although its remarkably simple definition: $\mathcal{M}:=\{c \in \mathbb{C}\,|\,Q_c…

math.DS2024

Convergence of Equilibrium Measures under $K$ -regular Polynomial Sequences and their Derivatives

Christian Henriksen, Carsten Lunde Petersen, Eva Uhre

Let $K \subset C$ be non-polar, compact and polynomially convex. We study the limits of equilibrium measures on preimages of compact sets, under $K$ -regular sequences of pol…

On qc compatibility of satellite copies of the Mandelbrot set: II

Convergence of Equilibrium Measures under K-regular Polynomial Sequences and their Derivatives

Convergence of Equilibrium Measures under $K$ -regular Polynomial Sequences and their Derivatives