M. Pratelli, D. Trevisan:
Functions of Bounded Variation on the Classical Wiener Space and an
Extended Ocone-Karatzas Formula
(preprint) 2011
D. Trevisan:
BV-capacities on Wiener Spaces and Regularity of the Maximum of the
Wiener Process
(preprint) 2012
D. Trevisan:
Lagrangian flows driven by $BV$ fields in Wiener spaces
(preprint) 2013
Gian Maria Dall'Ara, D. Trevisan:
Uncertainty inequalities on groups and homogeneous spaces via
isoperimetric inequalities
(preprint) 2013
D. Trevisan:
Zero noise limits using local times
(preprint) 2013
D. Trevisan:
BV-regularity for the Malliavin Derivative of the Maximum of the Wiener
Process
(preprint) 2013
D. Trevisan:
Well-posedness of Diffusion Processes in Metric Measure Spaces
(Phd Thesis) 2014
D. Trevisan:
A short proof of Stein's universal multiplier theorem
(preprint) 2014
L. Ambrosio, D. Trevisan:
Well posedness of Lagrangian flows and continuity equations in metric
measure spaces
Analysis and PDE Vol. 7, N. 5, p. 1179-1234, 2014
D. Trevisan:
Well-posedness of Diffusion Processes in Metric Measure Spaces
(Ph.D. Thesis) 2014
Giacomo De Palma, V. Giovannetti, D. Trevisan:
Passive states optimize the output of bosonic Gaussian quantum channels
(preprint) 2015
E. Musta, M. Pratelli, D. Trevisan:
Functional Cramer-Rao bounds and Stein estimators in Sobolev spaces, for
Brownian motion and Cox processes
(preprint) 2015
D. Trevisan:
Well-posedness of Multidimensional Diffusion Processes with Weakly
Differentiable Coefficients
(preprint) 2015
L. Ambrosio, D. Trevisan:
Lecture notes on the DiPerna-Lions theory in abstract measure spaces
(Preprint) 2015
Giacomo De Palma, V. Giovannetti, D. Trevisan:
Gaussian states minimize the output entropy of one-mode quantum Gaussian
channels
(preprint) 2016
Giacomo De Palma, V. Giovannetti, D. Trevisan:
One-mode quantum-limited Gaussian channels have Gaussian maximizers
(preprint) 2016
Giacomo De Palma, V. Giovannetti, D. Trevisan:
Gaussian States Minimize the Output Entropy of the One-Mode Quantum
Attenuator
(preprint) 2016
M. Neklyudov, D. Trevisan:
A particle system approach to cell-cell adhesion models
(preprint) 2016
L. Ambrosio, F. Stra, D. Trevisan:
A PDE approach to a 2-dimensional matching problem
(Preprint) 2016
L. Ambrosio, F. Stra, D. Trevisan:
Weak and strong convergence of derivations and stability of flows with
respect to MGH convergence
(Submitted Paper) 2016
Giacomo De Palma, D. Trevisan:
The Entropy Power Inequality with quantum memory
(preprint) 2017
Giacomo De Palma, V. Giovannetti, D. Trevisan:
Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian
channels
(preprint) 2017
M. Huesmann, D. Trevisan:
A Benamou--Brenier formulation of martingale optimal transport
(preprint) 2017
E. Stepanov, D. Trevisan:
Three superposition principles: currents, continuity equations and
curves of measures
J. Funct. Anal. Vol. 272, p. 1044-1103, 2017
L. Ambrosio, E. Bruè, D. Trevisan:
Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces
Adv. Math. 2017
V. Magnani, E. Stepanov, D. Trevisan:
A rough calculus approach to level sets in the Heisenberg group
J. Lond. Math. Soc. Vol. 97, N. 3, p. 495522, 2018
V. Magnani, D. Trevisan:
On Lipschitz vector fields and the Cauchy problem in homogeneous groups
Commun. Contemp. Math. Vol. 20, N. 5, p. 21, 2018
G. Alberti, E. Stepanov, D. Trevisan:
Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to Itô
and Stratonovich
J. Funct. Anal. (Accepted Paper) 2019
L. Ambrosio, F. Glaudo, D. Trevisan:
On the optimal map in the 2-dimensional random matching problem
(Preprint) p. 20, 2019
E. Stepanov, D. Trevisan:
Towards geometric integration of rough differential forms
J. Geom. Anal. 2020
C. Rigoni, E. Stepanov, D. Trevisan:
Lie brackets of nonsmooth vector fields and commutation of their flows
J. London Math. Soc. 2020
N. Puchkin, V. Spokoiny, E. Stepanov, D. Trevisan:
Reconstruction of manifold embeddings into Euclidean spaces via
intrinsic distances
ESAIM: COCV (Accepted Paper) 2020
M. Goldman, D. Trevisan:
Convergence of asymptotic costs for random Euclidean matching problems
Probability and Mathematical Physics (Accepted Paper) 2020
L. Ambrosio, M. Goldman, D. Trevisan:
On the quadratic random matching problem in two-dimensional domains
Electronic J. Probability (Accepted Paper) 2021
M. Correddu, D. Trevisan:
On Minimum Spanning Trees for Random Euclidean Bipartite Graphs
(preprint) 2021
N. Gigli, L. Tamanini, D. Trevisan:
Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty)$ spaces and applications to large deviations
(preprint) 2022
A. Kroshnin, E. Stepanov, D. Trevisan:
Infinite multidimensional scaling for metric measure spaces
ESAIM: COCV Vol. 28, N. 58, 2022
M. Huesmann, F. Mattesini, D. Trevisan:
Wasserstein Asymptotics for the Empirical Measure of Fractional Brownian Motion on a Flat Torus
Stochastic Processes and their Applications Vol. 155, p. 1--26, 2022
A. Basteri, D. Trevisan:
Quantitative Gaussian Approximation of Randomly Initialized Deep Neural
Networks
(preprint) 2022
M. Goldman, D. Trevisan:
Optimal transport methods for combinatorial optimization over two random
point sets
PTRF (Accepted Paper) 2022
E. Stepanov, D. Trevisan:
On exterior differential systems involving differentials of Hölder
functions
J. Differential Equations Vol. 337, p. 91137, 2022
A. Carbonaro, L. Tamanini, D. Trevisan:
Boundedness of Riesz transforms on $RCD(K,\infty)$ spaces
(preprint) 2023
M. Mariani, D. Trevisan:
Wasserstein Asymptotics for Brownian Motion on the Flat Torus and
Brownian Interlacements
(Preprint) 2023
M. Goldman, D. Trevisan:
On the concave one-dimensional random assignment problem and Young
integration theory
(preprint) 2023
D. Trevisan:
Wide Deep Neural Networks with Gaussian Weights are Very Close to
Gaussian Processes
(preprint) 2023
L. Ambrosio, D. Trevisan, F. Vitillaro:
Sharp PDE estimates for random two-dimensional bipartite matching with
power cost function
(preprint) 2024
E. Caglioti, M. Goldman, F. Pieroni, D. Trevisan:
Subadditivity and optimal matching of unbounded samples
(Preprint) 2024