94 citations · 448 across the 40 of their papers we have counts for
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Three superposition principles: currents, continuity equations and curves of measures
Eugene Stepanov, Dario Trevisan
We establish a general superposition principle for curves of measures solving a continuity equation on metric spaces without any smooth structure nor underlying measure, representi…
Passive states optimize the output of bosonic Gaussian quantum channels
Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti
An ordering between the quantum states emerging from a single mode gauge-covariant bosonic Gaussian channel is proven. Specifically, we show that within the set of input density ma…
Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients
Dario Trevisan
We investigate well-posedness for martingale solutions of stochastic differential equations, under low regularity assumptions on their coefficients, widely extending some results f…
Functional Cramer-Rao bounds and Stein estimators in Sobolev spaces, for Brownian motion and Cox processes
Eni Musta, Maurizio Pratelli, Dario Trevisan
We investigate the problems of drift estimation for a shifted Brownian motion and intensity estimation for a Cox process on a finite interval , when the risk is given by the…
Lecture notes on the DiPerna-Lions theory in abstract measure spaces
Luigi Ambrosio, Dario Trevisan
These notes closely correspond to a series of lectures given by the first author in Toulouse, on the recent extension of the theory of ODE well-posedness to abstract spaces, jointl…