Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Jon Chaika"'
Autor:
Jon Chaika, Barak Weiss
Publikováno v:
Forum of Mathematics, Pi, Vol 12 (2024)
Let ${{\mathcal {H}}}$ be a stratum of translation surfaces with at least two singularities, let $m_{{{\mathcal {H}}}}$ denote the Masur-Veech measure on ${{\mathcal {H}}}$ , and let $Z_0$ be a flow on $({{\mathcal {H}}}, m_{{{\mathcal {H}
Externí odkaz:
https://doaj.org/article/25ba5dea8d6745998c926fe28ea72017
Autor:
Arjun Krishnan, Jon Chaika
Publikováno v:
Nonlinearity. 34:7045-7063
This paper is a sequel to Chaika and Krishnan [arXiv:1612.00434]. We again consider translation invariant measures on families of nearest-neighbor semi-infinite walks on the integer lattice Z^d. We assume that once walks meet, they coalesce. We consi
Building on works of Berthe-Steiner-Thuswaldner and Fogg-Nous, we show that on the two-dimensional torus, Lebesgue almost every translation admits a natural coding such that the associated subshift satisfies the Boshernitzan criterion. As a consequen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a4c16644db35de823130b9d8fb4cd75
https://doi.org/10.4171/jst/411
https://doi.org/10.4171/jst/411
Autor:
Alex Eskin, Jon Chaika
Publikováno v:
Journal of Modern Dynamics. 14:55-86
We show that Sarnak's conjecture on Mobius disjointness holds for interval exchange transformations on three intervals (3-IETs) that satisfy a mild diophantine condition.
32 pages, 3 figures
32 pages, 3 figures
Autor:
Jon Chaika, Donald Robertson
Publikováno v:
Robertson, D & Chaika, J 2019, ' Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang) ', Journal of Modern Dynamics . https://doi.org/10.3934/jmd.2019023
For any \begin{document}$ \mathrm{SL}(2, \mathbb{R}) $\end{document} invariant and ergodic probability measure on any stratum of flat surfaces, almost every flat surface has the property that its non-decreasing sequence of saddle connection lengths i
Autor:
Jon Chaika, Alex Wright
Publikováno v:
Journal of the American Mathematical Society. 32:81-117
We construct a smooth, area preserving, mixing flow with finitely many nondegenerate fixed points and no saddle connections on a closed surface of genus 5 5 . This resolves a problem that has been open for four decades.
Publikováno v:
Communications in Mathematical Physics
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surface is two, almost every such locally Hamiltonian flow with two non de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::108ccd2c316b5cba64594f4ae0bc48ea
http://arxiv.org/abs/1912.10250
http://arxiv.org/abs/1912.10250
Autor:
Kathryn Lindsey, Jon Chaika
Publikováno v:
Ergodic Theory and Dynamical Systems. 39:1441-1461
The orbit closure of any translation surface under the horocycle flow in almost any direction equals its $SL_2(\mathbb{R})$ orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the hororcycle flow.
Comme
Comme
Autor:
Sebastian Hensel, Jon Chaika
Publikováno v:
Ergodic Theory and Dynamical Systems. 39:311-356
Let $\unicode[STIX]{x1D70B}$ be a non-degenerate permutation on at least four symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation $\unicode[STIX]{x1D70B}$ is path-connected.
Autor:
Jon Chaika, Rodrigo Treviño
Publikováno v:
Journal of Modern Dynamics. 11:563-588
We show that Masur's logarithmic law of geodesics in the moduli space of translation surfaces does not imply unique ergodicity of the translation flow, but that a similar law involving the flat systole of a Teichm\"{u}ller geodesic does imply unique