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Publications Influence

On the reliability of numerical studies of stochasticity

- G. Benettin, M. Casartelli, L. Galgani, A. Giorgilli, J. Strelcyn
- Physics, Mathematics
- 1 April 1979

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 correct… Expand

24 2

Numerical computations on a stochastic parameter related to the Kolmogorov entropy

- M. Casartelli, E. Diana, L. Galgani, A. Scotti
- Physics
- 1 May 1976

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 that… Expand

61

On the reliability of numerical studies of stochasticity I: Existence of time averages

- G. Benettin, M. Casartelli, L. Galgani, A. Giorgilli, J. Strelcyn
- Physics
- 1 March 1978

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 errors… Expand

44

A singular integral operator arising from 1/N expansions: analytical and numerical results

- M. Casartelli, G. Marchesini, E. Onofri
- Mathematics
- 1 April 1980

It is shown that the considered singular integral operator Ksigma has a simple discrete spectrum with asymptotic behaviour.

2

Numerical computations on the constants of motion of a Hamiltonian system

- M. Casartelli, G. Casati, L. Galgani, A. Giorgilli, E. Diana, A. Scotti
- Physics
- 1 August 1975

1

Local order and onset of chaos for a family of two-dimensional dissipative mappings

- R. Brambilla, M. Casartelli
- Physics
- 1 August 1985

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. Numerical… Expand

1

Compatibility of the Schroedinger and the born interpretations of the wave function

- M. Casartelli, L. Galgani
- Physics
- 2 December 1974

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 of… Expand

1

Complexity, rate of energy exchanges and stochasticity

- M. Casartelli, S. Sello
- Physics
- 1 February 1987

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 ϰ… Expand

7

Relaxation time and randomness in phase space

- M. Casartelli
- Physics
- 1 August 1983

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 the… Expand

4