44 citations · 138 across the 32 of their papers we have counts for
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math.DG2015★ 4 cited
Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics
Antonio Lerario, Andrea Mondino
Given a manifold and a proper sub-bundle , we study homotopy properties of the horizontal base-point free loop space , i.e. the space of absolutely continuous m…
math.CV2015★ 19 cited
On the zeros of random harmonic polynomials: the truncated model
Antonio Lerario, Erik Lundberg
A probabilistic approach to the study of the number of zeros of complex harmonic polynomials was initiated by W. Li and A. Wei (2009), who derived a Kac-Rice type formula for the e…
math.DG2015★ 3 cited
Homotopy properties of endpoint maps and a theorem of Serre in subriemannian geometry
Francesco Boarotto, Antonio Lerario
We discuss homotopy properties of endpoint maps for affine control systems. We prove that these maps are Hurewicz fibrations with respect to some topology on the space of…