33 citations · 78 across the 13 of their papers we have counts for
4 papers · 2 filters
Phase shift in experimental trajectory scaling functions
Ronnie Mainieri, Robert E. Ecke
For one dimensional maps the trajectory scaling functions is invariant under coordinate transformations and can be used to compute any ergodic average. It is the most stringent tes…
On the equality of Hausdorff and box counting dimensions
Ronnie Mainieri
By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described…
Can averaged orbits be used to extract scaling functions?
Ronnie Mainieri
Trajectory scaling functions are the basic element in the study of chaotic dynamical systems, from which any long time average can be computed. It has never been extracted from an…
Zeta function for the Lyapunov exponent of a product of random matrices
Ronnie Mainieri
A cycle expansion for the Lyapunov exponent of a product of random matrices is derived. The formula is non-perturbative and numerically effective, which allows the Lyapunov exponen…