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math.DS2022★ 1 cited
Dynamics of skew-products tangent to the identity
Matthieu Astorg, Luka Boc Thaler
We study the local dynamics of generic skew-products tangent to the identity, i.e. maps of the form with . More precisely, we focus on map…
math.DS2020
Higher bifurcations for polynomial skew-products
Matthieu Astorg, Fabrizio Bianchi
We continue our investigation of the parameter space of families of polynomial skew products. Assuming that the base polynomial has a Julia set not totally disconnected and is neit…
math.DS2017
Collet, Eckmann and the bifurcation measure
Matthieu Astorg, Thomas Gauthier, Nicolae Mihalache +1
The moduli space of degree rational maps can naturally be endowed with a measure detecting maximal bifurcations, called the bifurcation me…