Bezier curves and the Takagi function,
To appear in Bulletin des Sciences Mathématiques (2024) arxiv.org/abs/2401.16178
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| Preprints |
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L Platchkova and F Vivaldi, Bezier curves and the Takagi function, To appear in Bulletin des Sciences Mathématiques (2024) arxiv.org/abs/2401.16178 |
| Publications |
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J A G Roberts, A Saito and F Vivaldi, Critical curves of rotations, Indag. Mathemat. 35 989-1008 (2024) arxiv.org/abs/2302.17955 |
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J A G Roberts, A Saito and F Vivaldi, Critical curves of a piecewise linear map, Chaos 31 073134 (2021) (Published online on 20/07/2021, DOI:10.1063/5.0054334) arxiv.org/abs/2104.07197 |
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A Bountis, J J P Veerman and F Vivaldi, Cauchy distribution for the integrable standard map, Phys. Lett. A384 (26): 126659 (2020) arxiv.org/abs/2004.12912 |
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J Hoseana and F Vivaldi, On the unboudedness of the transit time of mean-median orbits, J Difference Equations & Appl.(2020) (Published online on 06 November 2020, pp 1--24.) [DOI:10.1080/10236198.2020.1842385] arXiv:1911.08845 |
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J Hoseana and F Vivaldi, Geometrical properties of the mean-median map, J. Comp. Dyn. 7 83-121 (2020) doi:10.3934/jcd.2020004 arXiv:1806.10184 |
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F Alwani and F Vivaldi, Nonlinear rotations on a lattice, J. Difference Equations & Appl. (2018) Published online on 23 April 2018, pp 1-31 [DOI: 10.1080/10236198.2018.1459592] arXiv:1709.08904 |
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J H Lowenstein, and F Vivaldi, Renormalizable two-parameter piecewise isometries, Chaos 26 063119 (2016). Published online on 24 June 2016, pp 1-26 [DOI: 10.1063/1.4954210] |
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J H Lowenstein, and F Vivaldi, Renormalization of one-parameter families of piecewise isometries, Dynamical Systems, 31 393-465 (2016). [DOI:10.1080/14689367.2016.1153605]. |
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F. Vivaldi, Discrete resonances, Mod. Phys. Lett. B 29 (2015) 1530016 [DOI: 10.1142/S0217984915300161] This article has alse appeared in: 80th Birthday of Professor Hao Bailin, edited by Phua Kok Khoo and Ge Molin, World Scientific (2016). |
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J A G Roberts and F Vivaldi, Arithmetic exponents for piecewise-affine planar maps, Physica D 298 (2015) 298-71. [DOI:10.1016/j.physd.2015.01.0] arXiv:1408.4264 |
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H Reeve-Black and F Vivaldi, Asymptotics in a family of linked strip maps, Physica D 290 (2015) 57-71\\ [DOI: 10.1016/j.physd.2014.09.003.] |
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H Reeve-Black and F Vivaldi, Near-integrable behaviour in a family of discretised rotations, Nonlinearity 26 (2013) 1227-1270. |
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N Neumaerker, J A G Roberts, and F Vivaldi, Distribution of periodic orbits for the Casati-Prosen map on rational lattices, Physica D 241 (2012) 360-371. |
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J H Lowenstein, and F Vivaldi,
Flights in a pseudo-chaotic system, Chaos 21 (2011) 033117. |
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