Abstract Funding Acknowledgements Type of funding sources: None. Introduction Aortic dilatation is most commonly associated with hypertension, bicuspid aortic valve and connective tissue diseases such as Marfan’s. It a precursor to life threatening complications rupture or dissection the aorta. The current ESC Guidelines recommend surgical intervention once diameter >50 mm in patients Ma...

We introduce length dilatation structures on metric spaces, tempered dilatation structures and coherent projections and explore the relations between these objects and the Radon-Nikodym property and Gamma-convergence of length functionals. Then we show that the main properties of sub-riemannian spaces can be obtained from pairs of length dilatation structures, the first being a tempered one and...