M. Pratelli, D. Trevisan: Functions of Bounded Variation on the Classical Wiener Space and an Extended Ocone-Karatzas Formula (preprint) http://arxiv.org/abs/1109.5071 2011 D. Trevisan: BV-capacities on Wiener Spaces and Regularity of the Maximum of the Wiener Process (preprint) http://arxiv.org/abs/1204.6652 2012 D. Trevisan: Lagrangian flows driven by $BV$ fields in Wiener spaces (preprint) http://arxiv.org/abs/1310.5655 2013 Gian Maria Dall'Ara, D. Trevisan: Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities (preprint) http://arxiv.org/abs/1308.1069 2013 D. Trevisan: Zero noise limits using local times (preprint) http://arxiv.org/abs/1301.6510 2013 D. Trevisan: BV-regularity for the Malliavin Derivative of the Maximum of the Wiener Process (preprint) http://arxiv.org/abs/1301.1199 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) http://arxiv.org/abs/1408.4752 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) http://arxiv.org/abs/1511.00293 2015 E. Musta, M. Pratelli, D. Trevisan: Functional Cramer-Rao bounds and Stein estimators in Sobolev spaces, for Brownian motion and Cox processes (preprint) http://arxiv.org/abs/1507.01494 2015 D. Trevisan: Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients (preprint) http://arxiv.org/abs/1507.01357 2015 L. Ambrosio, D. Trevisan: Lecture notes on the DiPerna-Lions theory in abstract measure spaces (Preprint) http://arxiv.org/abs/1505.05292 2015 Giacomo De Palma, V. Giovannetti, D. Trevisan: Gaussian states minimize the output entropy of one-mode quantum Gaussian channels (preprint) http://arxiv.org/abs/1610.09970 2016 Giacomo De Palma, V. Giovannetti, D. Trevisan: One-mode quantum-limited Gaussian channels have Gaussian maximizers (preprint) http://arxiv.org/abs/1610.09967 2016 M. Neklyudov, D. Trevisan: A particle system approach to cell-cell adhesion models (preprint) http://arxiv.org/abs/1601.05241 2016 Giacomo De Palma, V. Giovannetti, D. Trevisan: Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator (preprint) http://arxiv.org/abs/1605.00441 2016 L. Ambrosio, F. Stra, D. Trevisan: A PDE approach to a 2-dimensional matching problem (Preprint) http://arxiv.org/abs/1611.04960 2016 L. Ambrosio, F. Stra, D. Trevisan: Weak and strong convergence of derivations and stability of flows with respect to MGH convergence (Submitted Paper) http://arxiv.org/abs/1603.05561 2016 Giacomo De Palma, D. Trevisan: The Entropy Power Inequality with quantum memory (preprint) http://arxiv.org/abs/1706.00440 2017 Giacomo De Palma, V. Giovannetti, D. Trevisan: Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian channels (preprint) http://arxiv.org/abs/1705.00499 2017 E. Stepanov, D. Trevisan: Three superposition principles: currents, continuity equations and curves of measures J. Funct. Anal. Vol. 272, p. 1044-1103, 2017 M. Huesmann, D. Trevisan: A Benamou--Brenier formulation of martingale optimal transport (preprint) http://arxiv.org/abs/1707.01493 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) http://arxiv.org/abs/1912.08796 2019 L. Ambrosio, F. Glaudo, D. Trevisan: On the optimal map in the 2-dimensional random matching problem (Preprint) http://arxiv.org/abs/1903.12153 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) http://arxiv.org/abs/2012.13770 2020 M. Goldman, D. Trevisan: Convergence of asymptotic costs for random Euclidean matching problems Probability and Mathematical Physics (Accepted Paper) http://arxiv.org/abs/2009.04128 2020 L. Ambrosio, M. Goldman, D. Trevisan: On the quadratic random matching problem in two-dimensional domains Electronic J. Probability (Accepted Paper) http://arxiv.org/abs/2110.14372 2021 M. Correddu, D. Trevisan: On Minimum Spanning Trees for Random Euclidean Bipartite Graphs (preprint) http://arxiv.org/abs/2107.08452 2021 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) http://arxiv.org/abs/2203.07379 2022 M. Goldman, D. Trevisan: Optimal transport methods for combinatorial optimization over two random point sets PTRF (Accepted Paper) http://arxiv.org/abs/2209.14615 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) http://arxiv.org/abs/2308.16294 2023 M. Goldman, D. Trevisan: On the concave one-dimensional random assignment problem and Young integration theory (preprint) http://arxiv.org/abs/2305.09234 2023 D. Trevisan: Wide Deep Neural Networks with Gaussian Weights are Very Close to Gaussian Processes (preprint) http://arxiv.org/abs/2312.11737 2023 M. Mariani, D. Trevisan: Wasserstein Asymptotics for Brownian Motion on the Flat Torus and Brownian Interlacements (Preprint) http://arxiv.org/abs/2307.10325 2023 L. Ambrosio, D. Trevisan, F. Vitillaro: Sharp PDE estimates for random two-dimensional bipartite matching with power cost function (preprint) http://arxiv.org/abs/2405.09397 2024 E. Caglioti, M. Goldman, F. Pieroni, D. Trevisan: Subadditivity and optimal matching of unbounded samples (Preprint) 2024 M. Goldman, M. Huesmann, D. Trevisan: Asymptotics for Random Quadratic Transportation Costs (preprint) http://arxiv.org/abs/2409.08612 2024 O. Mischler, D. Trevisan: Quantitative stability in optimal transport for general power costs (preprint) http://arxiv.org/abs/2407.19337 2024 N. Gigli, L. Tamanini, D. Trevisan: Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty)$ spaces and applications to large deviations Potential Analysis 2024