189 citations · 955 across the 37 of their papers we have counts for
38 papers
Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane
Decio Levi, Miguel A. Rodríguez
Determining if an (1+1)-differential-difference equation is integrable or not (in the sense of possessing an infinite number of symmetries) can be reduced to the study of the depen…
Integrable Ito equations with multiple noises
Giuseppe Gaeta, Miguel Angel Rodriguez
The classification of scalar Ito equations with a single noise source which admit a so called standard symmetry and hence are -- by the Kozlov construction -- integrable is by now…
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…
Symmetry classification of scalar autonomous Ito stochastic differential equations with simple noise
Giuseppe Gaeta, Miguel Angel Rodriguez
It is known that knowledge of a symmetry of a scalar Ito stochastic differential equations leads, thanks to the Kozlov substitution, to its integration. In the present paper we pro…
Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space
Miguel Angel Rodriguez Rodriguez
We present and study commutative Banach algebras generated by Toeplitz operators with generalized quasi-radial pseudo-homogeneous symbols acting on the Bergman space over the unit…
A new class of entropic information measures, formal group theory and information geometry
Miguel A. Rodríguez, Álvaro Romaniega, Piergiulio Tempesta
In this work, we study generalized entropies and information geometry in a group-theoretical framework. We explore the conditions that ensure the existence of some natural properti…