Giovanni Alberti

most citedOn the differentiability of Lipschitz functions with respect to measures in the Euclidean space

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2019

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich

Giovanni Alberti, Eugene Stepanov, Dario Trevisan

We show that geometric integrals of the type $\int_{Ω} f d g^{1} \land d g^{2}$ can be defined over a two-dimensional domain $Ω$ when the functions $f$ , $g^{1}$ , $g^2\colon \mathbb{R}^…

math.CA2014★ 1 cited

On the differentiability of Lipschitz functions with respect to measures in the Euclidean space

Giovanni Alberti, Andrea Marchese

Rademacher theorem states that every Lipschitz function on the Euclidean space is differentiable almost everywhere, where "almost everywhere" refers to the Lebesgue measure. In thi…

math.AP2014

Exponential self-similar mixing and loss of regularity for continuity equations

Giovanni Alberti, Gianluca Crippa, Anna L. Mazzucato

We consider the mixing behaviour of the solutions of the continuity equation associated with a divergence-free velocity field. In this announcement we sketch two explicit examples…

Integration of nonsmooth 2-forms: from Young to Itô and Stratonovich

On the differentiability of Lipschitz functions with respect to measures in the Euclidean space

Exponential self-similar mixing and loss of regularity for continuity equations

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich