3 papers
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 , the analytic centraliser of the map near is trivial. We also prove that some analytic circle diffeom…
math.DS2020
Lacunary series, resonances, and automorphisms of with a round Siegel domain
Davoud Cheraghi, Francois Berteloot
We construct transcendental automorphims of having an unbounded and regular Siegel domain.
math.GN2019
Hairy Cantor sets
Davoud Cheraghi, Mohammad Pedramfar
We introduce a topological object, called hairy Cantor set, which in many ways enjoys the universal features of objects like Jordan curve, Cantor set, Cantor bouquet, hairy Jordan…