Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Andy Hammerlindl"'
Publikováno v:
Annales Henri Poincaré. 23:923-971
We study global-local mixing for a family of accessible skew products with an exponentially mixing base and non-compact fibers, preserving an infinite measure. For a dense set of almost periodic global observables, we prove rapid mixing; and for a de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fa1f6be14ab9bbde54f67aee04c24bf
https://doi.org/10.1007/s00023-021-01102-8
https://doi.org/10.1007/s00023-021-01102-8
Autor:
Layne Hall, Andy Hammerlindl
We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to characterise the dynamics in the presence of periodic centre annuli. Thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7d60b0bd094170c99a8ab7c49f62f5c
http://arxiv.org/abs/2011.01378
http://arxiv.org/abs/2011.01378
Publikováno v:
Journal of Computational Dynamics. 9:393
A heterodimensional cycle consists of two saddle periodic orbits with unstable manifolds of different dimensions and a pair of connecting orbits between them. Recent theoretical work on chaotic dynamics beyond the uniformly hyperbolic setting has sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73394aaed83ea2631d47471e57818b80
https://doi.org/10.3934/jcd.2022008
https://doi.org/10.3934/jcd.2022008
Autor:
Andy Hammerlindl
Publikováno v:
Mathematische Zeitschrift. 288:741-755
We show that a partially hyperbolic system can have at most a finite number of compact center-stable submanifolds. We also give sufficient conditions for these submanifolds to exist and consider the question of whether they can intersect each other.<
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::417170d215901f81d0d6e42f7c3dfa9c
https://doi.org/10.1007/s00209-017-1910-3
https://doi.org/10.1007/s00209-017-1910-3
Autor:
Andy Hammerlindl
Publikováno v:
2018 MATRIX Annals ISBN: 9783030382292
These notes present a careful explanation of parts of a proof showing that if an Anosov diffeomorphism has global product structure and the universal cover has polynomial growth of volume, then the Anosov diffeomorphism is topologically conjugate to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d85616a1f33750b8d0a3bb16fc18ea0a
https://doi.org/10.1007/978-3-030-38230-8_25
https://doi.org/10.1007/978-3-030-38230-8_25
Autor:
Layne Hall, Andy Hammerlindl
We explicitly construct a dynamically incoherent partially hyperbolic endomorphisms of $\mathbb{T}^2$ in the homotopy class of any linear expanding map with integer eigenvalues. These examples exhibit branching of centre curves along countably many c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be534bae93055ca64b6bd30aebe12638
Autor:
Andy Hammerlindl, Yi Shi
This paper shows any non-Anosov partially hyperbolic diffeomorphism on the 3-torus which is homotopic to Anosov must be accessible.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::799c053cb1acba0d352511105815f1cc
Autor:
Andy Hammerlindl
Publikováno v:
Algebr. Geom. Topol. 20, no. 6 (2020), 2779-2820
This paper gives a classification of the topology of vector fields which are nowhere tangent to the fibers of a Seifert fibering.
Comment: 35 pages, 1 figure. The v2 version of this preprint significantly differs from v1. It is over twice as lon
Comment: 35 pages, 1 figure. The v2 version of this preprint significantly differs from v1. It is over twice as lon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a046a2391fa9e6e286e906c043e6b98c
https://projecteuclid.org/euclid.agt/1608087630
https://projecteuclid.org/euclid.agt/1608087630
We show that conservative partially hyperbolic diffeomorphism isotopic to the identity on Seifert 3-manifolds are ergodic.
1 figure
1 figure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9727c0f8156e12e7816437e26a2e6b83
http://arxiv.org/abs/1907.04755
http://arxiv.org/abs/1907.04755
Autor:
Andy Hammerlindl
Publikováno v:
Dynamical Systems. 31:151-157
We answer a question of Burns and Wilkinson, showing that there are open families of volume-preserving partially hyperbolic diffeomorphisms which are accessible and centre bunched and neither dynamically coherent nor Anosov. We also show in the volum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::192287da0ebd08222963d50af087800f
https://doi.org/10.1080/14689367.2015.1078290
https://doi.org/10.1080/14689367.2015.1078290