Browsing by Author "Ponce Acevedo, Mario"
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- ItemA Livsic type theorem for germs of analytic diffeomorphisms(2013) Navas, Andrés; Ponce Acevedo, Mario
- ItemEquators have at most countable many singularities with bounded total angle(2017) Herreros Cortázar, Pilar; Ponce Acevedo, Mario; Veerman, J.
- ItemFibred non-hyperbolic quadratic families(2024) Domínguez Calderón, Igsyl; Ponce Acevedo, Mario; Pontificia Universidad Católica de Chile. Facultad de MatemáticasThe aim of this thesis is two-folding. In the initial instance, we have made signifIcant progress in the problem of density of hyperbolic components within the context of fibred quadratic polynomial dynamics by demonstrating the existence of robust non- hyperbolic fibred quadratic polynomials. Secondly, we present a more complex class of invariant sets that are distinct from the invariant curves for fibred polynomial dynamics, called multi-curves. Furthermore, a construction for multi-curves in quadratic polynomial dynamics is shown, resulting in the attainment of not only invariant multi-curves, but also with the characteristic of being attracting.
- ItemHyperbolization of cocycles by isometries of the Euclidean space(2014) Ponce Acevedo, Mario
- ItemON BOUNDED COCYCLES OF ISOMETRIES OVER MINIMAL DYNAMICS(2013) Coronel, D.; Navas, A.; Ponce Acevedo, Mario
- ItemOn equidistant sets and generalized conics: The old and the new(2014) Ponce Acevedo, Mario; Santibáñez Galdames, Patricio Jesús
- ItemThe scaling mean and a Law of Large Permanents(2016) Bochi, Jairo; Iommi, Godofredo; Ponce Acevedo, Mario