Franco Vivaldi: recent work

(FOR PUBLICATIONS ON MATHEMATICAL EDUCATION, CLICK HERE)

(FOR TALKS, CLICK HERE)

Publications

L Platchkova and F Vivaldi,
Bezier curves and the Takagi function,
Bulletin des Sciences Mathématiques 199 103543 (2025)
arxiv.org/abs/2401.16178
J A G Roberts, A Saito and F Vivaldi,
Critical curves of rotations,
Indag. Mathemat. 35 989-1008 (2024)
arxiv.org/abs/2302.17955

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
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
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
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
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
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]
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].

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).
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
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.]
H Reeve-Black and F Vivaldi,
Near-integrable behaviour in a family of discretised rotations,
Nonlinearity 26 (2013) 1227-1270.
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.
J H Lowenstein, and F Vivaldi, Flights in a pseudo-chaotic system,
Chaos 21 (2011) 033117.

	L Platchkova and F Vivaldi, Bezier curves and the Takagi function, Bulletin des Sciences Mathématiques 199 103543 (2025) arxiv.org/abs/2401.16178
	J A G Roberts, A Saito and F Vivaldi, Critical curves of rotations, Indag. Mathemat. 35 989-1008 (2024) arxiv.org/abs/2302.17955
	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
	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
	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
	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
	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
	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]
	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].
	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).
	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
	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.]
	H Reeve-Black and F Vivaldi, Near-integrable behaviour in a family of discretised rotations, Nonlinearity 26 (2013) 1227-1270.
	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.
	J H Lowenstein, and F Vivaldi, Flights in a pseudo-chaotic system, Chaos 21 (2011) 033117.