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math-ph2017★ 34 cited
Symmetry of stochastic non-variational differential equations
Giuseppe Gaeta
I will sketchily illustrate how the theory of symmetry helps in determining solutions of (deterministic) differential equations, both ODEs and PDEs, staying within the classical th…
math-ph2017★ 18 cited
Random Lie-point symmetries of stochastic differential equations
Giuseppe Gaeta, Francesco Spadaro
We study the invariance of stochastic differential equations under random diffeomorphisms, and establish the determining equations for random Lie-point symmetries of stochastic dif…