Xavier Buff

collaborators

2 papers

math.DS2026

Biggest bounded type Siegel disks of monic polynomials include those that stick to all critical points

Xavier Buff, Arnaud ChÃ©ritat, Pascale Roesch

We prove that for all degree $d \geq 2$ and all bounded type irrational $I^¸$ , in the space of monic polynomials having a period $1$ Siegel disk $I^$ of rotation number $I^¸$ , the max…

math.DS2025

On the stability of holomorphic families of endomorphisms of $P^{k}$

FranÃ§ois Berteloot, Xavier Buff

In the context of holomorphic families of $P^{k}$ endomorphisms, we show that various notions of stability are equivalent. This allows us to both extend and simplify the ar…

Biggest bounded type Siegel disks of monic polynomials include those that stick to all critical points

On the stability of holomorphic families of endomorphisms of Pk

On the stability of holomorphic families of endomorphisms of $P^{k}$