13 citations · 25 across the 4 of their papers we have counts for
4 papers
Quantum dynamical entropies for discrete classical systems: a comparison
Valerio Cappellini
On a family of classical dynamical systems on the 2-torus, we perform a discretization procedure similar to the Anti-Wick quantization. Such a discretization is performed by using…
Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework
Fabio Benatti, Valerio Cappellini
We study the presence of a logarithmic time scale in discrete approximations of Sawtooth Maps on the 2--torus. The techniques used are suggested by quantum mechanical similarities,…
Quantum Dynamical Entropies and Complexity in Dynamical Systems
Valerio Cappellini
We analyze the behaviour of two quantum dynamical entropies in connection with the classical limit. Using strongly chaotic classical dynamical systems as models (Arnold Cat Maps an…
Classical Limit of Quantum Dynamical Entropies
F. Benatti, V. Cappellini, M. De Cock +2
Two non-commutative dynamical entropies are studied in connection with the classical limit. For systems with a strongly chaotic classical limit, the Kolmogorov-Sinai invariant is r…