Marco Veneroni

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Publications

Preprints

  • F. Tornabene, M. Veneroni and G. Savaré. Generalized Wasserstein Barycenters. ArXiV preprint, 2024. (Preprint)


Accepted/Published papers

  • G. Auricchio and M. Veneroni. On the structure of optimal transportation plans between discrete measures. Applied Mathematics & Optimization , 2022. (Preprint)

  • G. Auricchio, A. Codegoni, S. Gualandi, G. Toscani and M. Veneroni. The Equivalence of Fourier-based and Wasserstein Metrics on Imaging Problems. Rendiconti Lincei. Matematica e Applicazioni, 31, 627-649, 2020. (Preprint)

  • F. Bassetti, S. Gualandi and M. Veneroni. On the Computation of Kantorovich-Wasserstein Distances between 2D-Histograms by Uncapacitated Minimum Cost Flows. Siam Journal on Optimization, 30, 2441-2469, 2020. (Preprint)

  • G. Auricchio, F. Bassetti, S. Gualandi and M. Veneroni. Computing Wasserstein Barycenters via Linear Programming. In: Lecture Notes in Computer Science. LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, vol. 11494, p. 355-363, Springer Verlag, 2019.

  • G. Auricchio, S. Gualandi and M. Veneroni. The Maximum Nearby Flow Problem. Advances in Optimization and Decision Science for Society, Services and Enterprises. AIRO Springer Series, vol 3, 22-33, 2019.

  • G. Auricchio, S. Gualandi, M. Veneroni and F. Bassetti. Computing Kantorovich-Wasserstein Distances on d-dimensional histograms using (d + 1)-partite graphs. In: Advances in Neural Information Processing Systems. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS, vol. 2018, p. 5793-5803, 2018. (Preprint)

  • L. Lussardi, S. Marini and M. Veneroni. Stochastic homogenization of maximal monotone relations and applications. Networks and Heterogenous Media, 13(1):27-45, 2018. (Preprint)

  • S. Pelletier, O. Jabali, G. Laporte, M. Veneroni. Battery degradation and behaviour for electric vehicles: A review and numerical analysis of several models. Transportation Research Part B: Methodological, 103:158-187, 2017.

  • A. Segatti, M. Snarski, M. Veneroni. Analysis of a variational model for nematic shells. Mathematical Models and Methods in Applied Sciences, 26(10):1865-1918, 2016. (Preprint)

  • G. Canevari, A. Segatti, M. Veneroni. Morse's index formula in VMO for compact manifolds with boundary. Journal of Functional Analysis, 269(10):3043-3082, 2015. (pdf)

  • B. Schweizer, M. Veneroni. Homogenization of plasticity equations with two-scale convergence methods. Applicable Analysis, 94(2):376-399, 2015. (Preprint)

  • A. Segatti, M. Snarski, M. Veneroni. Equilibrium configurations of nematic liquid crystals on a torus. Physical Review E, 90(1):012501, 2014. (Preprint)

  • B. Schweizer, M. Veneroni. On non-periodic homogenization of time-dependent equations. Nonlinear Analysis Real World Applications, 15:381-391, 2014. (.pdf)

  • M. A. Peletier, M. Renger, M. Veneroni. Variational formulation of the Fokker-Planck equation with decay: a particle approach. Communications in Contemporary Mathematics, 15(5):1350017, 43 pp., 2013. (Preprint)

  • R. Choksi, M. Morandotti, M. Veneroni. Global minimizers for axisymmetric multiphase surfaces. ESAIM Control, Optimisation and Calculus of Variations, 19(4):1014-1029, 2013. (.pdf)

  • R. Choksi, M. Veneroni. Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case. Calculus of Variations and Partial Differential Equations, 14(3-4):337-366, 2013. (.pdf)

  • S. Arnrich, A. Mielke, M. A. Peletier, G. Savaré, M. Veneroni. Passage to the limit in a Wasserstein gradient flow: from diffusion to reaction. Calculus of Variations and Partial Differential Equations, 44(3):419-454, 2012. (Preprint)

  • M. A. Peletier, G. Savaré, M. Veneroni. Chemical reactions as Gamma-limit of diffusion. SIAM Review, 54(2):327-352, 2012. (.pdf)

  • M. A. Peletier, M. Veneroni. Stripe patterns and a projection-valued formulation of the Eikonal Equation. Phil. Trans. R. Soc. A. 370:1730-1739, 2012. (.pdf)

  • M. A. Peletier, M. Veneroni. Stripe patterns and the Eikonal Equation. Discrete and Continuous Dynamical Systems Series S, 5(1):183-189, 2012. link to arXiv.org

  • B. Schweizer, M. Veneroni. The needle problem approach to non-periodic homogenization. Networks and Heterogenous Media. 6(4):755-781, 2011. (.pdf)

  • M. Veneroni. Stochastic homogenization of subdifferential inclusions via scale integration. International Journal of Structural Changes in Solids, 3(1):83-98, 2011. (.pdf)

  • B. Schweizer, M. Veneroni. Periodic homogenization of the Prandtl-Reuss model with hardening. Journal of Multiscale Modeling, 2(1,2):69-106, 2010. (.pdf)

  • M. A. Peletier, M. Veneroni. Non-oriented solutions of the Eikonal equation. C. R. Math. Acad. Sci. Paris, 348(19-20):1099-1101, 2010. link to arXiv.org

  • M. A. Peletier, G. Savaré, M. Veneroni. From diffusion to reaction via Gamma-convergence. SIAM J. Math. Anal. 42(4):1805-1825, 2010.  (.pdf)

  • M. A. Peletier, M. Veneroni. Stripe patterns in a model for block-copolymers. Math. Models Methods Appl. Sci., 20(6):843-907, 2010. link to arXiv.org

  • M. Veneroni. Reaction-Diffusion systems for the macroscopic bidomain model of the cardiac electric field. Nonlinear Anal.: Real World Appl., 10(2):849-868, 2009. ( .pdf)

  • M. Veneroni. Reaction-Diffusion systems for the microscopic cellular model of the cardiac electric field. Math. Meth. Appl. Sci, 29(14):1631-1661, 2006. ( .pdf)


Reports

  • B. Schweizer, M. Veneroni. Homogenization of plasticity equations with hardening using Finite-Element approaches. 2013.   Oberwolfach report. (.pdf)

  • M. A. Peletier, M. Veneroni. Stripe patterns and the Eikonal Equation. 2009.   Oberwolfach report. (.pdf)

  • M. Veneroni. Modelli matematici per il campo elettrico cardiaco. La Matematica nella Società e nella Cultura: rivista dell'Unione Matematica Italiana, 1(2):367-370, 2008. (.pdf)

  • J.B. van den Berg, N. van den Berg, B. van den Bergen, A. Boer, F. van de Bult, S. Dahmen, K. Frederix, Y. van Gennip, J. Hulshof, H. Meijer, P.H.M.W. in't Panhuis, C. Stolk, R. Swierstra, M. Veneroni, E. Vondenhoff.
    Understanding the electromagnetic field in an MRI scanner.
    In R.H. Bisseling, K. Dajani, T.J. Dijkema, J. van de Leur, P.A. Zegeling (Eds.), Proceedings 58th European Study Group Mathematics with Industry (ESGI58/SWI2007, Utrecht, The Netherlands, January 29-February 2, 2007). (pp. 69-90). ( .pdf)


Ph.D. thesis

  • M. Veneroni. Mathematical models for the cardiac electric field. 2007. Ph.D. thesis, Università degli Studi di Pavia. (.pdf)