94 citations · 448 across the 40 of their papers we have counts for
8 papers · 1 filter
A PDE approach to a 2-dimensional matching problem
Luigi Ambrosio, Federico Stra, Dario Trevisan
We prove asymptotic results for 2-dimensional random matching problems. In particular, we obtain the leading term in the asymptotic expansion of the expected quadratic transportati…
A rough calculus approach to level sets in the Heisenberg group
Valentino Magnani, Eugene Stepanov, Dario Trevisan
We introduce novel equations, in the spirit of rough path theory, that parametrize level sets of intrinsically regular maps on the Heisenberg group with values in . T…
Gaussian states minimize the output entropy of one-mode quantum Gaussian channels
Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti
We prove the longstanding conjecture stating that Gaussian thermal input states minimize the output von Neumann entropy of one-mode phase-covariant quantum Gaussian channels among…
The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have Gaussian Maximizers
Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti
We determine the p->q norms of the Gaussian one-mode quantum-limited attenuator and amplifier and prove that they are achieved by Gaussian states, extending to noncommutative proba…
On Lipschitz vector fields and the Cauchy problem in homogeneous groups
Valentino Magnani, Dario Trevisan
We introduce a class of "Lipschitz horizontal" vector fields in homogeneous groups, for which we show equivalent descriptions, e.g. in terms of suitable derivations. We then invest…
Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator
Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti
We prove that Gaussian thermal input states minimize the output von Neumann entropy of the one-mode Gaussian quantum-limited attenuator for fixed input entropy. The Gaussian quantu…
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence
Luigi Ambrosio, Federico Stra, Dario Trevisan
This paper is devoted to the study of weak and strong convergence of derivations, and of the flows associated to them, when dealing with a sequence of metric measure structures (X,…
A particle system approach to cell-cell adhesion models
Mikhail Neklyudov, Dario Trevisan
We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featu…