• Publications
  • Influence
On the reliability of numerical studies of stochasticity
SummaryIn the numerical study of classical dynamical systems presenting stochastic behaviour one frequently makes use, in an explicit or an implicit way, of the Birkhoff ergodic theorem. The correctExpand
  • 24
  • 2
Numerical computations on a stochastic parameter related to the Kolmogorov entropy
A stochastic parameter which appears to be related to the Kolmogorov entropy is computed for a system of $N$ particles in a line with the nearest-neighbor Lennard-Jones interaction. It is found thatExpand
  • 61
On the reliability of numerical studies of stochasticity I: Existence of time averages
SummaryThe stochastic properties of classical dynamical systems are often studied by means of numerical computations of orbits up to very large times, so that the accumulation of numerical errorsExpand
  • 44
A singular integral operator arising from 1/N expansions: analytical and numerical results
It is shown that the considered singular integral operator Ksigma has a simple discrete spectrum with asymptotic behaviour.
  • 2
Local order and onset of chaos for a family of two-dimensional dissipative mappings
SummaryWe study the stochastic transition of a family of dissipative mappings of the two-dimensional torus, having a pure rotation and an Anosov hyperbolic automorphism as limit cases. NumericalExpand
  • 1
Compatibility of the Schroedinger and the born interpretations of the wave function
Abstract Examples are shown to exist in which the Schroedinger and the Born interpretations are compatible. To this end use is made of the Fenyes-Weizel-Nelson theorem and of known results ofExpand
  • 1
Complexity, rate of energy exchanges and stochasticity
SummaryThe complexity of trajectories in the phase space of anharmonic crystals (mostly a Lennard-Jones chain) is analysed by the variance of microcanonical density and by new parametersP and ϰExpand
  • 7
Relaxation time and randomness in phase space
SummaryThe stochastic region in the phase space of a classical nonlinear system, a Lennard-Jones chain, is proven to be nonuniform with respect to a random access, through the sensitivity of theExpand
  • 4