D. Cheraghi

activity

20072024

most citedSatellite renormalization of quadratic polynomials

18 citations · 49 across the 11 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DS2020

Analytic maps of parabolic and elliptic type with trivial centralisers

Artur Avila, Davoud Cheraghi, Alexander Eliad

We prove that for a dense set of irrational numbers $α$ , the analytic centraliser of the map $e^{2 π i α} z + z^{2}$ near $0$ is trivial. We also prove that some analytic circle diffeom…

math.DS2020★ 1 cited

Lacunary series, resonances, and automorphisms of $C^{2}$ with a round Siegel domain

Davoud Cheraghi, Francois Berteloot

We construct transcendental automorphims of $C^{2}$ having an unbounded and regular Siegel domain.

math.DS2020★ 2 cited

Dimension paradox of irrationally indifferent attractors

Davoud Cheraghi, Alexandre DeZotti, Fei Yang

We prove that for an infinite dimensional class of holomorphic maps with an elliptic fixed point, the post-critical set has Hausdorff dimension two, provided the rotation number is…

Analytic maps of parabolic and elliptic type with trivial centralisers

Lacunary series, resonances, and automorphisms of C2 with a round Siegel domain

Dimension paradox of irrationally indifferent attractors

Lacunary series, resonances, and automorphisms of $C^{2}$ with a round Siegel domain