Výsledky vyhledávání - "Carlos Arnoldo Morales Rojas"

Akademický článek

ON THE HAUSDORFF MEASURE OF CERTAIN PLANE SET PROJECTIONS

Publikováno v: Pesquimat, Vol 2, Iss 2 (2014)

A characterization of plane sets whose projection have zero Hausdorff measure is given. This is obtained through the study of an angular density introduced first by Marstrand [2].

Externí odkaz: https://doaj.org/article/6ac9b4083c9045eba99c8be67d093f67

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Topological stability from Gromov-Hausdorff viewpoint

Autor: Alexanger Arbieto, Carlos Arnoldo Morales Rojas

Publikováno v: Discrete and Continuous Dynamical Systems. 37:3531-3544

We combine the classical Gromov-Hausdorff metric [ 5 ] with the \begin{document}$C^0$\end{document} distance to obtain the \begin{document}$C^0$\end{document} -Gromov-Hausdorff distance between maps of possibly different metric spaces. The latter is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9ec8c17a8db26dc0991cb7591f8c10f7
https://doi.org/10.3934/dcds.2017151

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Topological entropy for set-valued maps

Autor: Carlos Arnoldo Morales Rojas, Roger Metzger Alvan, Dante Carrasco-Olivera

Publikováno v: Discrete & Continuous Dynamical Systems - B. 20:3461-3474

In this paper we define and study the topological entropy of a set-valued dynamical system. Actually, we obtain two entropies based on separated and spanning sets. Some properties of these entropies resembling the single-valued case will be obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5f392b08f791f11f612254aee0b55ac7
https://doi.org/10.3934/dcdsb.2015.20.3461

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Topological properties of sectional-Anosov flows

Autor: Carlos Arnoldo Morales Rojas, Enoch Humberto Apaza Calla, Bulmer Mejia Garcia

Publikováno v: Discrete & Continuous Dynamical Systems - A. 35:4735-4741

We study sectional-Anosov flows on compact $3$-manifolds. First we prove that every periodic orbits represents an infinite order element of the fundamental group outside the strong stable manifolds of the singularities. Next, in the transitive case,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::be82ce3891c3d811e78cc034411cd173
https://doi.org/10.3934/dcds.2015.35.4735

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Elektronická kniha

Geometry, Dynamics And Topology Of Foliations: A First Course

Autor: Bruno Scardua, Carlos Arnoldo Morales Rojas

The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of s

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