(20) L. Zanelli: On the isospectrality of one dimensional periodic Schroedinger operators and homogenization theory. Preprint
(19) L. Zanelli: An homogenization approach for the inverse spectral problem of periodic Schroedinger operators. Preprint on arXiv:1802.08149
(18) L. Zanelli: Schroedinger dynamics and optimal transport of measures on the torus. Preprint
(17) L. Zanelli: Periodic coherent states decomposition and quantum dynamics on the flat torus.
Proceedings of the 30th International Workshop on Operator Theory and its Applications (July 22-26, 2019 Instituto Superior Tecnico, Lisbon) Preprint
(16)A. Parmeggiani, L. Zanelli: An exact version of the Egorov Theorem for one dimensional periodic Schroedinger operators.
Journal of Fourier Analysis and Applications, (2019) 25:1759--1781.
(15)L. Zanelli, A. Montanaro, E.L. Carniel, P.G. Pavan, A. Natali. On the determination of constitutive parameters in a hyperelastic model for a soft tissue.
Russian Journal of Biomechanics, vol. 22, p. 95-117 (2018)
(14) F. Cardin, L. Zanelli: The semiclassical Wave Front Set for Schroedinger eigenfunctions on the torus.
Mathematical Physics, Analysis and Geometry, online first 11 march 2017, June 2017, 20:10.
(13)L. Zanelli, S. Todros, E.L. Carniel, P.G. Pavan, A.N. Natali: Mechanical properties variation and constitutive modelling of biomedical polymers.
Acta of Bioengineering and Biomechanics, Vol. 19, N. 3, 2017.
(12) L. Zanelli, A. Montanaro, E.L. Carniel, P.G. Pavan, A.N. Natali: The study of equivalent material parameters in a hyperelastic model.
International Journal of Non-Linear Mechanics, Volume 89, March 2017, pp 142--150.
(11) L. Zanelli: Schroedinger spectra and the effective Hamiltonian of the weak KAM theory on the flat torus.
Journal of Mathematical Physics, 57 (2016), no. 8, 081507, 12 pp.
(10) L. Zanelli: On the optimal transport of semiclassical measures.
Applied Mathematics and Optimization, Volume 74 Issue 2, October 2016, pp 325--342
(9) T. Paul, L. Zanelli: On the dynamics of WKB wave functions whose phase are weak KAM solutions of H-J equation.
Journal of Fourier Analysis and Applications. Vol 20 Issue 6 pp 1291-1327 (2014)
(8) A. Parmeggiani, L. Zanelli: Wigner measures supported on weak KAM tori.
(7) L. Zanelli: Mather measures in semiclassical Analysis.
Proceedings of the 14 th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 24 - 29 june 2012. AIMS on Applied Mathematics Vol. 8.
(6) O. Bernardi, A. Parmeggiani, L. Zanelli. Mather measures associated with a class of Bloch wave functions.
Annales Henri Poincarè. Volume 13, Issue 8 (2012), Page 1807-1839.
(5) S. Graffi, L. Zanelli. The geometric approach to the Hamilton-Jacobi equation and global parametrices for the Schrödinger propagator.
Reviews in Mathematical Physics, vol 23, issue 9, 2011.
(4) S. Graffi, L. Zanelli. Global parametrices for the Schrödinger propagator and geometric approach to the Hamilton-Jacobi equation.
Nov 2012 - April 2013 : Postdoctoral position, Centre de Mathematiques Laurent Schwartz, Ecole Polytechnique, Palaiseau.
Oct 2012- Nov 2012 : Chercheur contractuel, Ecole Normale Superieure, Paris.
Feb 2012 - July 2012 : Visiting position, Centre de Mathematiques Laurent Schwartz, Ecole Polytechnique, Palaiseau.
Oct 2008 - Sept 2012 : Postdoctoral position, Department of Mathematics, University of Bologna.
Feb 2008 - June 2008 : Postdoctoral position, Department of Mathematics, University of Padova.
2007: Postdoctoral position, Department of Mathematics, University of Padova
Conferences and Seminars
Communication at the Workshop Asymptotic Analysis and Spectral Theory, University Paris-Sud, Orsay, september 30--october 4, 2019.
Title: Isospectrality and symplectic homogenization for Schroedinger operators
Communication at the XXVIII International Fall Workshop on Geometry and Physics, Institute for the Mathematical Sciences (ICMAT), Madrid, September 2 - 6, 2019.
Title: The Schroedinger spectral problem and weak KAM theory.
Communication at the 30th International Workshop on Operator Theory and its Applications (July 22-26, 2019 Instituto Superior Tecnico, Lisbon).
Title: Periodic coherent states decomposition and quantum dynamics on the flat torus.
Communication at the Workshop Assemblea Scientifica GNFM 2018, Montecatini Terme, 04 - 06 october 2018.
Title: Inverse spectral problem of periodic Schroedinger operators
Workshop Mathematical Challenges in Quantum Mechanics, University Roma Sapienza, February 19-24, 2018.
Title: An homogenization approach for the inverse spectral problem of periodic Schroedinger operators.
Communication at XVII Italian Meeting on Hyperbolic Equations, University of Pavia, 06 - 08 september 2017.
Title: Schroedinger dynamics and optimal transport problems.
Communication at the Workshop Assemblea Scientifica GNFM 2017, Montecatini Terme, 04 - 06 may 2017.
Title: Schroedinger spectra and the effective Hamiltonian of the weak KAM theory
Communication at the Workshop Assemblea Scientifica GNFM 2015, Montecatini Terme, 22 - 24 october 2015.
Title: Schroedinger dynamics and optimal transport of measures on the torus.
Communication at the Workshop: Problemi attuali in teoria dei sistemi dinamici, Department of Mathematics, Milano-Bicocca University, 22 - 23 may 2014.
Title: On the dynamics of WKB wave functions whose phase are weak KAM solutions of H-J equation.
Communication at Assemblea Scientifica GNFM 2014, Montecatini Terme, 15 - 17 may 2014.
Title: On the localization of the semiclassical Wave Front Set for Schroedinger eigenfunctions on the flat torus.
Seminar at the Institut Henri Poincaré,Paris,16 november 2012.
Title: Some applications of the Aubry-Mather theory in semiclassical Analysis.
Seminar at Assemblea Scientifica GNFM 2012, Montecatini Terme, 4 - 6 october 2012.
Title: Wigner measures supported on weak KAM tori.
Communication at the Congress: 14 th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, University of Padova,24 - 29 june 2012.
Title: Mather measures in semiclassical Analysis.
Seminar at the Department of Mathematics University of Padova, 13 december 2011.
Title: The weak KAM theory in semiclassical analysis.
Communication at the Congress: Mathematical Methods in Quantum Mechanics, Bressanone, 14 - 19 february 2011.
Title: Global Fourier Integral Operators and quantum dynamics.
Communication at the Congress: "Classical and weak KAM theorem: the Aubry-Mather sets, a break-trough in the study of dynamical systems" Montegrotto 14-19 february 2010.
Title: The Geometry of Generating Functions for a class of Hamiltonian flows in the non compact case.
Seminar at the Department of Mathematics University of Bologna, 23 november 2009.
Title: Operatori Integrali di Fourier globali e Propagatore di Schrödinger.
Seminar at the Department of Mathematics University of Bologna, 29 september 2008.
Title: Funzioni generatrici quadratiche all'infinito di flussi Hamiltoniani.
Communication at the Congress: Assemblea Scientifica GNFM 2007, Montecatini Terme, 11 - 13 october 2007.
Title: Rappresentazioni Globali del Propagatore di Schrödinger.
Communication at the Congress: Mathematical Modeling, Mechanics and Materials, Bressanone, 19 march 2007.
Title: On the Evolution Operator of the Fokker-Planck equation.
Communication at the Congress: Mathematical Methods in Quantum Mechanics, Bressanone, 26 february - 3 march 2007.
Title: The Schrödinger Propagator.
Communication at the Congress: Problemi Matematici in Meccanica Quantistica, Università di Modena,05 - 07 october 2006.
Title: Integral representations of the Schrödinger Propagator.
Seminar at the Department of Physics University Roma 3, 24 june 2005.
Title: Rappresentazione Integrale Finita Esatta del Propagatore di Schrödinger.
Seminar at the Summer School of Mathematical Physics,Ravello, september 2005.
Title: Forze di Contatto e di Bulk.
Seminar at the Summer School of Mathematical Physics,Ravello, september 2004.
Title: A lower bound for Von Karman Energy Functional.
Communication at the Congress: Mathematical Problems in Quantum Mechanics, Università di Modena, 19 - 21 december 2003.
Title: Rappresentazione Integrale Finita Esatta del Propagatore di Schrödinger e di Fokker Planck.
Teaching Activity
Analisi 1, master degree course, a.a. 2019/20, Department of Industrial Engineering, University of Padova.
Analisi 1, master degree course, a.a. 2018/19, Department of Industrial Engineering, University of Padova.
Meccanica Razionale, master degree course, a.a. 2018/19, Department of Industrial Engineering, University of Padova.
Meccanica Razionale, master degree course, a.a. 2017/18, Department of Industrial Engineering, University of Padova.
Meccanica Razionale, master degree course, a.a. 2016/17, Department of Industrial Engineering, University of Padova.
Fisica Matematica, master degree course, a.a. 2015/16, Department of Mathematics, University of Padova.
Meccanica Razionale, master degree course, a.a. 2015/16, Department of Industrial Engineering, University of Padova.
Analisi Matematica, summer course 2014 in Bressanone (I - week) organized by University of Padova.
Fisica Matematica, master degree course, a.a. 2010/11, Department of Mathematics, University of Bologna.
Matematica 1, master degree course, a.a. 2009/10, Department of Chemistry, University of Bologna.
Matematica 1, master degree course, a.a. 2007/08, Department of Biotechnology, University of Padova.
Istituzioni di Analisi Matematica 2, master degree course, a.a. 2006/07, Department of Statistics, University of Padova.
Matematica 1, master degree course, a.a. 2005/06, Department of Physics, University of Padova.
Fisica Matematica, master degree course, a.a. 2005/06, Department of Mathematics, University of Padova.