69 citations · 209 across the 17 of their papers we have counts for
19 papers
On the integration of Ito equations with a random or a W-symmetry
Giuseppe Gaeta
Symmetries can be used to integrate scalar Ito equation -- or reduce systems of such equations -- by the Kozlov substitution, i.e. passing to symmetry adapted coordinates. While th…
On the Geometry of Twisted Symmetries: Gauging and Coverings
D. Catalano Ferraioli, G. Gaeta
We consider the theory of \emph{twisted symmetries} of differential equations, in particular and -symmetries, and discuss their geometrical content. We focus on their interp…
W-Symmetries of Ito stochastic differential equations
Giuseppe Gaeta
We discuss W-symmetries of Ito stochastic differential equations, introduced in a recent paper by Gaeta and Spadaro [J. Math. Phys. 2017]. In particular, we discuss the general for…
Symmetry and integrability for stochastic differential equations
Giuseppe Gaeta, Claudia Lunini
We discuss the interrelations between symmetry of an Ito stochastic differential equations (or systems thereof) and its integrability, extending in party results by R. Kozlov [J. P…
On Lie-point symmetries for Ito stochastic differential equations
Giuseppe Gaeta, Claudia Lunini
In the deterministic realm, both differential equations and symmetry generators are geometrical objects, and behave properly under changes of coordinates; actually this property is…
On the isotropic-biaxial phase transition in nematic liquid crystals
Giuseppe Gaeta
We apply a recently developed technique to determine adapted coordinates for the sixth degree Landau-deGennes potential, in which the potential is specially simple, to analyze the…