Výsledky vyhledávání - "Ana Rechtman"

Publikováno v: International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), In press

Given a vector field on a 3D rational homology sphere, we give a formula for the Euler characteristic of its transverse surfaces, in terms of boundary data only. This provides a formula for the genus of a transverse surface, and in particular, of a B

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https://doi.org/10.1093/imrn/rnaa255

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On the existence of supporting broken book decompositions for contact forms in dimension 3

Autor: Vincent Colin, Pierre Dehornoy, Ana Rechtman

We prove that in dimension 3 every nondegenerate contact form is carried by a broken book decomposition. As an application we get that if M is a closed irreducible oriented 3-manifold that is not a graph manifold, for example a hyperbolic manifold, t

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https://hal.archives-ouvertes.fr/hal-02426945

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The trunkenness of a volume-preserving vector field

Autor: Ana Rechtman, Pierre Dehornoy

Publikováno v: Nonlinearity
Nonlinearity, IOP Publishing, 2017

International audience; We construct a new invariant—the trunkenness—for volume-perserving vector fields on S^3 up to volume-preserving diffeomorphism. We prove that the trunkenness is independent from the helicity and that it is the limit of a k

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https://doi.org/10.1088/1361-6544/aa83a8

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A characterization of 3D steady Euler flows using commuting zero-flux homologies

Autor: Francisco Torres de Lizaur, Ana Rechtman, Daniel Peralta-Salas

Publikováno v: Digital.CSIC. Repositorio Institucional del CSIC
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Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2021, 41 (7), pp.2166-2181. ⟨10.1017/etds.2020.25⟩

We characterize, using commuting zero-flux homologies, those volume-preserving vector fields on a 3-manifold that are steady solutions of the Euler equations for some Riemannian metric. This result extends Sullivan's homological characterization of g

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http://arxiv.org/abs/1904.00960

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Aperiodicity at the boundary of chaos

Autor: Steven Hurder, Ana Rechtman

Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2018, 38 (7), pp.2683-2728. ⟨10.1017/etds.2016.144⟩

We consider the dynamical properties of $C^{\infty}$-variations of the flow on an aperiodic Kuperberg plug ${\mathbb K}$. Our main result is that there exists a smooth 1-parameter family of plugs ${\mathbb K}_{\epsilon}$ for $\epsilon \in (-a,a)$ and

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https://hal.archives-ouvertes.fr/hal-02370960

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Two proofs of Taubes’ theorem on strictly ergodic flows

Autor: Ana Rechtman, Victor Kleptsyn

Publikováno v: Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics
Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics, pp.69-73, 2018, ⟨10.1090/conm/709/14292⟩

International audience

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https://hal.science/hal-02370193

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Equivalence of Deterministic walks on regular lattices on the plane

Autor: Ana Rechtman, Raúl Rechtman

Publikováno v: Physica A: Statistical Mechanics and its Applications
Physica A: Statistical Mechanics and its Applications, Elsevier, 2017, 466, pp.69-78. ⟨10.1016/j.physa.2016.08.077⟩

We consider deterministic walks on square, triangular and hexagonal two dimensional lattices. In each case, there is a scatterer at every site that can be in one of two states that force the walker to turn either to his/her immediate right or left. A

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Existence of periodic orbits for geodesible vector fields on closed 3-manifolds

Autor: Ana Rechtman

Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2010, 30 (6), pp.1817-1841. ⟨10.1017/S0143385709000807⟩

In this paper we deal with the existence of periodic orbits of geodesible vector fields on closed 3-manifolds. A vector field is geodesible if there exists a Riemannian metric on the ambient manifold making its orbits geodesics. In particular, Reeb v

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https://doi.org/10.1017/s0143385709000807

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Averaging sequences

Autor: Fernando Alcalde Cuesta, Ana Rechtman

Publikováno v: Pacific Journal of Mathematics
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2012, 255 (1), pp.1-23. ⟨10.2140/pjm.2012.255.1⟩

In the spirit of Goodman-Plante average condition for the existence of a transverse invariant measure for foliations, we give an averaging condition to find tangentially smooth measures with prescribed Radon-Nikodym cocycle. Harmonic measures are exa

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https://hal.archives-ouvertes.fr/hal-02371033

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Minimal Følner foliations are amenable

Autor: Fernando Alcalde Cuesta, Ana Rechtman

Publikováno v: Discrete and Continuous Dynamical Systems-Series A
Discrete and Continuous Dynamical Systems-Series A, American Institute of Mathematical Sciences, 2011, 31 (3), pp.685-707. ⟨10.3934/dcds.2011.31.685⟩

For finitely generated groups, amenability and Folner properties are equivalent. However, contrary to a widespread idea, Kaimanovich showed that Folner condition does not imply amenability for discrete measured equivalence relations. In this paper, w

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https://hal.archives-ouvertes.fr/hal-02370952

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