Zobrazeno 1 - 10 of 54 pro vyhledávání: '"Katrin Gelfert"'
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Akademický článek
Random iterations of homeomorphisms on the circle
Autor: Katrin Gelfert, Örjan Stenflo
Publikováno v: Modern Stochastics: Theory and Applications, Vol 4, Iss 3, Pp 253-271 (2017)
We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal. We show how such systems can be analyzed in terms of iterated function systems with pro
Externí odkaz: https://doaj.org/article/1d8cefdc9be24b41b22cbf9064ae0c45
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3
The structure of the space of ergodic measures of transitive partially hyperbolic sets
Autor: Katrin Gelfert, Tiane Marcarini, Lorenzo J. Díaz, Michał Rams
Publikováno v: Monatshefte für Mathematik. 190:441-479
We provide examples of transitive partially hyperbolic dynamics (specific but paradigmatic examples of homoclinic classes) which blend different types of hyperbolicity in the one-dimensional center direction. These homoclinic classes have two disjoin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5af00c911cf91c9c86036ec768c3d128
https://doi.org/10.1007/s00605-019-01325-2
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4
Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach
Autor: Lorenzo J. Díaz, Bruno Santiago, Katrin Gelfert
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 169:507-545
We study $C^1$-robustly transitive and nonhyperbolic diffeomorphisms having a partially hyperbolic splitting with one-dimensional central bundle whose strong un-/stable foliations are both minimal. {In dimension $3$, an important class of examples of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6f310fe813ef3e6368a9c76c43ba47a
https://doi.org/10.1017/s0305004119000276
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5
Invariant multi-graphs in step skew-products
Autor: Katrin Gelfert, Daniel Ribeiro de Oliveira
Publikováno v: Dynamical Systems. 35:1-28
We study step skew-products over a finite-state shift (base) space whose fiber maps are $C^1$ injective maps on the unit interval. We show that certain invariant sets have a multi-graph structure and can be written graphs of one, two or more function
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c498439c02e96578c3780c1b4a71126
https://doi.org/10.1080/14689367.2019.1616674
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6
Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles
Autor: Katrin Gelfert, Rafael O. Ruggiero
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics induces an equivalence relation on the unit tangent bundle. Its quotie
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49966f22eac96059b8aa78431194b98a
http://arxiv.org/abs/2009.11365
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7
Geodesic Flows Modelled by Expansive Flows
Autor: Rafael O. Ruggiero, Katrin Gelfert
Publikováno v: Proceedings of the Edinburgh Mathematical Society. 62:61-95
Given a smooth compact surface without focal points and of higher genus, it is shown that its geodesic flow is semi-conjugate to a continuous expansive flow with a local product structure such that the semi-conjugation preserves time parametrization.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::df95fdeb0101438c0e1e3470b24d94ba
https://doi.org/10.1017/s0013091518000160
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8
Dominated Pesin theory: convex sum of hyperbolic measures
Autor: Jairo Bochi, Katrin Gelfert, Christian Bonatti
Publikováno v: Israel Journal of Mathematics
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Israël Journal of Mathematics
Israël Journal of Mathematics, Hebrew University Magnes Press, 2018, 226 (1), pp.387-417. ⟨10.1007/s11856-018-1699-8⟩
In the uniformly hyperbolic setting it is well known that the set of all measures supported on periodic orbits is dense in the convex space of all invariant measures. In this paper we consider the converse question, in the non-uniformly hyperbolic se
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23e6d3a608369498300e25c426d4c471
https://doi.org/10.1007/s11856-018-1699-8
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9
Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew products
Autor: Lorenzo J. Díaz, Katrin Gelfert, M. Rams
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 297:98-115
We review some ergodic and topological aspects of robustly transitive partially hyperbolic diffeomorphisms with one-dimensional center direction. We also discuss step skew-product maps whose fiber maps are defined on the circle which model such dynam
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::937246011b61b173dbe4b9538c2ebdcc
https://doi.org/10.1134/s008154381704006x
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10
Horseshoes for diffeomorphisms preserving hyperbolic measures
Autor: Katrin Gelfert
Publikováno v: Mathematische Zeitschrift. 283:685-701
We give extensions of Katok’s horseshoe constructions, comment on related results, and provide a self-contained proof. We consider either a $$C^{1+\alpha }$$ diffeomorphism preserving a hyperbolic measure or a $$C^1$$ diffeomorphism preserving a hy
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c38826a8af5a2e47a9f19f9b5e32fea7
https://doi.org/10.1007/s00209-016-1618-9
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