1 citations · 1 across the 5 of their papers we have counts for
5 papers
Canal Classes and Cheeger Sets
Nico Lombardi, Christian Richter, Eugenia Saorín Gómez
Giannopoulos, Hartzoulaki and Paouris asked in \cite{GHP} whether the best ratio between volume and surface area of convex bodies sharing a given orthogonal projection onto a fixed…
Plane -paths and their rectifiability property
Nico Lombardi, Marco Longinetti, Paolo Manselli +1
A family of plane oriented continuous paths depending on a fixed real positive number is considered. For any point on the path, the previous points lie out of any circle of…
Non-asymptotic bounds for percentiles of independent non-identical random variables
Dong Xia
This note displays an interesting phenomenon for percentiles of independent but non-identical random variables. Let be independent random variables obeying non-ide…
Translation invariant valuations on quasi-concave functions
Andrea Colesanti, Nico Lombardi, Lukas Parapatits
We study real-valued, continuous and translation invariant valuations defined on the space of quasi-concave functions of N variables. In particular, we prove a homogeneous decompos…
Valuations on the space of quasi-concave functions
Andrea Colesanti, Nico Lombardi
We characterize the valuations on the space of quasi-concave functions defined on the -dimensional Euclidean space, that are rigid motion invariant and continuous with respect t…