Stefano Marmi

activity

20122026

most citedNatural boundary for the susceptibility function of generic piecewise expanding unimodal maps

10 citations · 16 across the 4 of their papers we have counts for

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math.DS2026

On the minimum of $σ$ -Brjuno functions

Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi

$σ$ -Brjuno functions were introduced in \cite{MaMoYo_06} as an interesting variant of the classical Brjuno function, where one substitutes the $lo g$ singularity at $x = 0$ with the…

math.DS2024

Global and local minima of $α$ -Brjuno functions

Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi

The main goal of this article is to analyze some peculiar features of the global (and local) minima of $α$ -Brjuno functions $B_{α}$ where $α \in (0, 1] .$ Our starting point is the resul…

math.DS2012★ 10 cited

Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps

Viviane Baladi, Stefano Marmi, David Sauzin

We consider the susceptibility function Psi(z) of a piecewise expanding unimodal interval map f with unique acim mu, a perturbation X, and an observable phi. Combining previous res…

On the minimum of σ-Brjuno functions

Global and local minima of α-Brjuno functions

Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps

On the minimum of $σ$ -Brjuno functions

Global and local minima of $α$ -Brjuno functions