Publications: Prof Franco Vivaldi
Alwani F, Vivaldi F(2018).
Nonlinear rotations on a lattice. Journal of Difference Equations and Applications
vol. 24,
(7)
1074-1104.
VIVALDI F, Lowenstein JH(2016).
Renormalizable two-parameter piecewise isometries. Chaos
Vivaldi F(2016).
Discrete resonances. Peregrinations from Physics to Phylogeny Essays on the Occasion of Hao Bailin's 80th Birthday,
Lowenstein JH, Vivaldi F(2016).
Renormalization of one-parameter families of piecewise isometries. Dynamical Systems1-73.
Vivaldi F(2015).
Discrete resonances. Modern Physics Letters B
vol. 29,
(35-36)
Roberts JAG, Vivaldi F(2015).
Arithmetic exponents in piecewise-affine planar maps. Physica D: Nonlinear Phenomena
vol. 298-299,
1-12.
Reeve-Black H, Vivaldi F(2015).
Asymptotics in a family of linked strip maps. Physica D: Nonlinear Phenomena
vol. 290,
57-71.
Reeve-Black H, Vivaldi F(2013).
Near-integrable behaviour in a family of discretized rotations. NONLINEARITY
vol. 26,
(5)
1227-1270.
Neumaerker N, Roberts JAG, Vivaldi F(2012).
Distribution of periodic orbits for the Casati-Prosen map on rational lattices. PHYSICA D-NONLINEAR PHENOMENA
vol. 241,
(4)
360-371.
Lowenstein JH, Vivaldi F(2011).
Flights in a pseudo-chaotic system. Chaos
vol. 21,
(3)
Lowenstein JH, Vivaldi F(2010).
Approach to a rational rotation number in a piecewise isometric system. NONLINEARITY
vol. 23,
(10)
2677-2721.
VIVALDI F(2009).
A combinatorial model for reversible rational maps over finite fields. Nonlinearity
vol. 22,
(8)
1965-1982.
Poggiaspalla G, Lowenstein JH, Vivaldi F(2008).
Geometric representation of interval exchange maps over algebraic number fields. NONLINEARITY
vol. 21,
(1)
149-177.
Lowenstein JH, Vivaldi F(2008).
Scaling dynamics of a cubic interval-exchange transformation. DYNAM SYST
vol. 23,
(3)
283-298.
Lowenstein JH, Poggiaspalla G, Vivaldi F (2007).
Interval exchange transformations over algebraic number fields: the cubic Arnoux-Yoccoz model. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL.
vol. 22,
73-106.
Goetz A, van Strien S, Vivaldi F(2007).
Special issue on geometric dynamics with singularities. DYNAM SYST
vol. 22,
(1)
1-1.
Vivaldi F, Lowenstein JH(2006).
Arithmetical properties of a family of irrational piecewise rotations. NONLINEARITY
vol. 19,
(5)
1069-1097.
Jogia D, Roberts JAG, Vivaldi F(2006).
An algebraic geometric approach to integrable maps of the plane. J PHYS A-MATH GEN
vol. 39,
(5)
1133-1149.
Vivaldi F (2006).
The arithmetic of discretized rotations. p-ADIC Mathematical Physics.
Editors: Khrennikov, AY, Rakic, Z, Volovich, IV,
vol. 826,
162-173.
Lowenstein JH, Poggiaspalla G, Vivaldi F(2005).
Sticky orbits in a kicked-oscillator model. DYNAM SYST
vol. 20,
(4)
413-451.
Roberts JAG, Vivaldi F(2005).
Signature of time-reversal symmetry in polynomial automorphisms over finite fields. NONLINEARITY
vol. 18,
(5)
2171-2192.
Lowenstein JH, Kouptsov KL, Vivaldi F(2004).
Recursive tiling and geometry of piecewise rotations by pi/7. NONLINEARITY
vol. 17,
(2)
371-395.
Roberts JAG, Jogia D, Vivaldi F(2003).
The Hasse-Weil bound and integrability detection in rational maps. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
vol. 10,
166-180.
Vivaldi F, Vladimirov I(2003).
Pseudo-randomness of round-off errors in discretized linear maps on the plane. INT J BIFURCAT CHAOS
vol. 13,
(11)
3373-3393.
Roberts JAG, Vivaldi F(2003).
Arithmetical method to detect integrability in maps (vol 90, art no 034102, 2003). PHYS REV LETT
vol. 90,
(7)
Article 079902,
Roberts JAG, Vivaldi F(2003).
Erratum: Arithmetical method to detect integrability in maps (Phys. Rev. Lett. (2003) 90 (034102)). Physical Review Letters
vol. 90,
(7)
Roberts JAG, Vivaldi F(2003).
Arithmetical method to detect integrability in maps. PHYS REV LETT
vol. 90,
(3)
Article 034102,
Kouptsov KL, Lowenstein JH, Vivaldi F(2002).
Quadratic rational rotations of the torus and dual lattice maps. NONLINEARITY
vol. 15,
(6)
1795-1842.
Pettigrew J, Roberts JAG, Vivaldi F(2001).
Complexity of regular invertible p-adic motions. CHAOS
vol. 11,
(4)
849-857.
VIVALDI F(2001).
Experimental mathematics with Maple. Chapman & Hall/CRC
(London),
