D
Dario Trevisan
Researcher at University of Pisa
Publications - 75
Citations - 1105
Dario Trevisan is an academic researcher from University of Pisa. The author has contributed to research in topics: Measure (mathematics) & Gaussian. The author has an hindex of 17, co-authored 66 publications receiving 832 citations.
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Well-posedness of multidimensional diffusion processes with weakly differentiable coefficients
TL;DR: In this article, the authors investigated well-posedness for martingale solutions of stochastic differential equations, under low regularity assumptions on their coefficients, widely extending the results first obtained by A. Figalli in [19].
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Well-posedness of Lagrangian flows and continuity equations in metric measure spaces
Luigi Ambrosio,Dario Trevisan +1 more
TL;DR: In this paper, an analogue of DiPerna-Lions theory on well-posedness of flows of ODEs associated to Sobolev vector fields is established.
Posted Content
A PDE approach to a 2-dimensional matching problem
TL;DR: In this paper, Caracciolo et al. proved asymptotic results for 2-dimensional random matching problems and obtained the leading term in the expected quadratic transportation cost for empirical measures of two samples of independent uniform random variables.
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A PDE approach to a 2-dimensional matching problem
TL;DR: In this paper, the authors obtained the leading term in the asymptotic expansion of the expected quadratic transportation cost for empirical measures of two samples of independent uniform random variables in the square.
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The Quantum Wasserstein Distance of Order 1
TL;DR: This work proposes a generalization of the Wasserstein distance of order 1 to the quantum states of $n$ qudits and derives bounds on the contraction coefficients of shallow quantum circuits and of the tensor product of one-qudit quantum channels with respect to the proposed distance.