Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Jimmy Tseng"'
Autor:
Jimmy Tseng
Publikováno v:
Mathematische Zeitschrift. 302:2005-2035
Consider a shrinking neighborhood of a cusp of the unit tangent bundle of a noncompact hyperbolic surface of finite area, and let the neighborhood shrink into the cusp at a rate of $T^{-1}$ as $T \rightarrow \infty$. We show that a closed horocycle w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fa8b42cc36402d5381a017c4f9c6789
https://doi.org/10.1007/s00209-022-03118-0
https://doi.org/10.1007/s00209-022-03118-0
Publikováno v:
Athreya, J S, Parrish, A & Tseng, J 2016, ' Ergodic theory and diophantine approximation for translation surfaces and linear forms ', Nonlinearity, vol. 29, no. 8, pp. 2173–2190 . https://doi.org/10.1088/0951-7715/29/8/2173
We derive results on the distribution of directions of saddle connections on translation surfaces using only the Birkhoff ergodic theorem applied to the geodesic flow on the moduli space of translation surfaces. Our techniques, together with an appro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::565e79261d846e229adceb641e0aee04
https://doi.org/10.1088/0951-7715/29/8/2173
https://doi.org/10.1088/0951-7715/29/8/2173
Publikováno v:
Athreya, J S, Ghosh, A & Tseng, J 2015, ' Spiraling of approximations and spherical averages of Siegel transforms ', Journal of the London Mathematical Society, vol. 91, no. 2, pp. 383-404 . https://doi.org/10.1112/jlms/jdu082
We consider the question of how approximations satisfying Dirichlet's theorem spiral around vectors in $\mathbb{R}^d$. We give pointwise almost everywhere results (using only the Birkhoff ergodic theorem on the space of lattices). In addition, we sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94853f1834c6bf1f8982db3e4d506cb7
https://doi.org/10.1112/jlms/jdu082
https://doi.org/10.1112/jlms/jdu082
Autor:
Jimmy Tseng
Publikováno v:
Tseng, J 2017, ' Simultaneous dense and non-dense orbits for toral diffeomorphisms ', Ergodic Theory and Dynamical Systems, vol. 37, no. 4, pp. 1308-1322 . https://doi.org/10.1017/etds.2015.80
We show that, for pairs of hyperbolic toral automorphisms on the $2$-torus, the points with dense forward orbits under one map and non-dense forward orbits under the other is a dense, uncountable set. The pair of maps can be non-commuting. We also sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a22f5d594f741150deab613afbd8e6a2
https://research-information.bris.ac.uk/en/publications/49a29c31-987d-4489-ad3c-c7166a7b028e
https://research-information.bris.ac.uk/en/publications/49a29c31-987d-4489-ad3c-c7166a7b028e
Autor:
Jimmy Tseng, Bill Mance
Publikováno v:
Acta Arithmetica. 158:33-47
This is the author accepted manuscript. The final version is available from Polskiej Akademii Nauk, Instytut Matematyczny via the DOI in this record.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51c3eefa145e684c55009a186c2197c1
https://doi.org/10.4064/aa158-1-2
https://doi.org/10.4064/aa158-1-2
Autor:
Jimmy Tseng
Publikováno v:
Journal of Mobile Technology in Medicine. 1:4-10
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9189b8c41649037e3a5af32ae6f037ed
https://doi.org/10.7309/jmtm.71
https://doi.org/10.7309/jmtm.71
Autor:
Jimmy Tseng
Publikováno v:
Journal of Number Theory. 129:3020-3025
For any real number \t, the set of all real numbers x for which there exists a constant c(x) > 0 such that \inf_{p \in \ZZ} |\t q - x - p| \geq c(x)/|q| for all q in \ZZ {0} is an 1/8-winning set.
6 pages
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b92b0d0dd733ed5b1eeddd6c599801b
https://doi.org/10.1016/j.jnt.2009.05.006
https://doi.org/10.1016/j.jnt.2009.05.006
Autor:
Ronggang Shi, Jimmy Tseng
Publikováno v:
Shi, R & Tseng, J 2015, ' Simultaneous Dense and Nondense Orbits and the Space of Lattices ', International Mathematics Research Notices, vol. 2015, no. 21, pp. 11276-11288 . https://doi.org/10.1093/imrn/rnv018
We show that set of points nondense under the $\times n$-map on the circle and dense for the geodesic flow under the induced map on the circle corresponding to the expanding horospherical subgroup has full Haudorff dimension. We also show the analogo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47da5227b87f241fe17251343eaa8d4f
http://arxiv.org/abs/1408.3572
http://arxiv.org/abs/1408.3572
Publikováno v:
Bergelson, V, Einsiedler, M & Tseng, J 2015, ' Simultaneous dense and nondense orbits for commuting maps ', Israel Journal of Mathematics, vol. 210, no. 1, pp. 23-45 . https://doi.org/10.1007/s11856-015-1244-y
We show that, for two commuting automorphisms of the torus and for two elements of the Cartan action on compact higher rank homogeneous spaces, many points have drastically different orbit structures for the two maps. Specifically, using measure rigi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aad2adb84ec28bf25d0489f85b519ff4
http://arxiv.org/abs/1309.4823
http://arxiv.org/abs/1309.4823
Autor:
Jimmy Tseng
Publikováno v:
Real Anal. Exchange 41, no. 2 (2016), 307-314
Tseng, J 2016, ' Nondense orbits for Anosov diffeomorphisms of the 2-torus ', Real Analysis Exchange, vol. 41, no. 2, pp. 307-314 .
Scopus-Elsevier
Tseng, J 2016, ' Nondense orbits for Anosov diffeomorphisms of the 2-torus ', Real Analysis Exchange, vol. 41, no. 2, pp. 307-314 .
Scopus-Elsevier
Let $\lambda$ denote the probability Lebesgue measure on ${\mathbb T}^2$. For any $C^2$-Anosov diffeomorphism of the $2$-torus preserving $\lambda$ with measure-theoretic entropy equal to topological entropy, we show that the set of points with nonde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c974524e33b2bb1d9394a7d88b2f4285
https://doi.org/10.14321/realanalexch.41.2.0307
https://doi.org/10.14321/realanalexch.41.2.0307