129 citations · 1.3k across the 56 of their papers we have counts for
59 papers
Permutation group entropy: a new route to complexity for real-valued processes
José M. Amigó, Roberto Dale, Piergiulio Tempesta
This is a review of group entropy and its application to permutation complexity. Specifically we revisit a new approach to the notion of complexity in time serie analysis, based on…
Partial separability and symplectic-Haantjes manifolds
Daniel Reyes, Piergiulio Tempesta, Giorgio Tondo
A theory of partial separability for classical Hamiltonian systems is proposed in the context of Haantjes geometry. As a general result, we show that the knowledge of a non-semisim…
On higher-dimensional superintegrable systems: A new family of classical and quantum Hamiltonian models
Miguel A. Rodriguez, Piergiulio Tempesta
We introduce a family of -dimensional Hamiltonian systems which, contain, as special reductions, several superintegrable systems as the Tremblay-Turbiner-Winternitz system, a ge…
Polarization of generalized Nijenhuis torsions
Piergiulio Tempesta, Giorgio Tondo
In this work, we introduce the notion of polarization of generalized Nijenhuis torsions and establish several algebraic identities. We prove that these polarizations are relevant i…
Classical Multiseparable Hamiltonian Systems, Superintegrability and Haantjes Geometry
Daniel Reyes Nozaleda, Piergiulio Tempesta, Giorgio Tondo
We show that the theory of classical Hamiltonian systems admitting separating variables can be formulated in the context of () structures. They are symplectic manif…
A generalized permutation entropy for random processes
José M. Amigó, Roberto Dale, Piergiulio Tempesta
Permutation entropy measures the complexity of deterministic time series via a data symbolic quantization consisting of rank vectors called ordinal patterns or just permutations. T…