Franco Vivaldi: selected work


J H Lowenstein, and F Vivaldi,
Approach to a rational rotation number in a piecewise isometric system,
Nonlinearity 23 (2010) 2677-2721.
J A G Roberts and F Vivaldi,
A combinatorial model for reversible rational maps over finite fields
Nonlinearity 22 (2009) 1965-1982.
G Poggiaspalla, J H Lowenstein and F Vivaldi,
Geometric representation of interval exchange maps over algebraic number fields
Nonlinearity 21 (2008) 149-177.
F Vivaldi and J H Lowenstein,
Arithmetical properties of a family of irrational piecewise rotations,
Nonlinearity 19 (2006) 1069-1097.
J A G Roberts and F Vivaldi,
Signature of time-reversal symmetry in polynomial automorphisms over finite fields,
Nonlinearity 18 (2005) 2171-2192.
J H Lowenstein, K L Kouptsov and F Vivaldi,
Recursive tiling and geometry of piecewise rotations by pi/7,
Nonlinearity 17 (2004) 371-395.
J A G Roberts and F Vivaldi,
Arithmetical method to detect integrability in maps,
Phys. Rev. Lett. 90 No. 3 (2003) [034102].
K Koupstov, J H Lowenstein and F Vivaldi,
Quadratic rational rotations of the torus and dual lattice maps,
Nonlinearity 15 (2002) 1795-1842.
D Bosio and F Vivaldi,
Round-off errors and p-adic numbers,
Nonlinearity 13 (2000) 309-322.
B V Chirikov and F Vivaldi,
An algorithmic view of pseudochaos,
Physica D 129 (1999) 223-235.
J H Lowenstein and F Vivaldi,
Anomalous transport in a model of Hamiltonian round-off,
Nonlinearity 11 (1998) 1321-1350.
R Carretero-Gonzales, D K Arrosmith and F Vivaldi,
Mode-locking in coupled map lattices,
Physica D 103 (1997) 381-403.
P Morton and F Vivaldi,
Bifurcations and discriminants for polynomials maps,
Nonlinearity 8 (1995) 571-584.
S Hatjispyros and F Vivaldi,
A family of rational zeta functions for the quadratic map,
Nonlinearity 8 (1995) 321-332.
D K Arrowsmith and F Vivaldi,
Geometry of p-adic Siegel discs,
Physica D 71 (1994) 222-236.
F Vivaldi,
Periodicity and transport from round-off errors,
Experim. Math. 3 (1994) 303-315.
F Vivaldi and S Hatjyspyros,
Galois theory of periodic orbits of polynomial maps,
Nonlinearity D 5 (1992) 961-978.
N Buric, I C Percival and F Vivaldi,
Critical functions and modular smoothing,
Nonlinearity 3 (1990) 21-37.
I C Percival and F Vivaldi,
Arithmetical properties of strongly chaotic motions,
Physica D 25 (1987) 105-130.
F Vivaldi and A Shaidenko,
Global stability of a class of discontinuous dual billiards,
Commun. Math. Phys. 110 (1987) 625-640.
B V Chirikov, M A Lieberman, D L Shepelyansky and F Vivaldi,
A theory of modulational diffusion,
Physica D 14 (1985) 289-304.
F Vivaldi,
Weak instabilities in many-dimensional hamiltonian systems,
Rev. Mod. Phys. 56 (1984) 737-754.
G Casati, J Ford, F Vivaldi and W M Visscher,
One-dimensional classical many-body system having a normal thermal conductivity,
Phys. Rev. Lett. 52 (1984) 1961-1964.
F Vivaldi, G Casati, and I Guarneri,
The origin of long-time tails in strongly chaotic systems,
Phys. Rev. Lett. 51 (1983) 727-730.
J M Greene, R S Mackay, F Vivaldi and M J Feigenbaum,
Universal behaviour in families of area-preserving maps,
Physica D 3 (1981) 468-486.