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Luigi BARLETTI

Ruolo attuale:: Professore Ordinario
SSD:: MATH-04/A - Fisica matematica
Afferenza organizzativa:: Dipartimento di Matematica e Informatica 'Ulisse Dini'

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Luigi BARLETTI

Curriculum

POSIZIONE

Professore ordinario di Fisica Matematica (s.s.d. MAT/07),
Dipartimento di Matematica e Informatica "U. Dini", Università di Firenze.

CARRIERA

- 1995-1998: Dottorato in Matematica (sotto la supervisione del Prof. A. Belleni-Morante).
- 1998-1999: borsa post-doc dell’Università di Firenze.
- 1999-2014: Ricercatore universitario.
- 2014-2021: Professore associato.
- 2021-presente: Professore ordinario.

AFFILIAZIONI E ADESIONE A GRUPPI DI RICERCA

- Affiliato al CSDC (Centro Interdipartimentale per lo Studio delle Dinamiche Complesse) dell’Università di Firenze, dal 2014.
- Membro della “Wigner Initiative” (comunità internazionale di ricercatori sul formalismo Wigneriano in meccanica quantistica e le sue applicazioni), dal 2014.
- Iscritto al GNFM-INdAM (Gruppo Nazionale per la Fisica Matematica) dal 1994.
- Iscritto alla SIMAI (Società Italiana di Matematica Applicata e Industriale), dal 1996
- Iscritto all’UMI (Unione Matematica Italiana), dal 1999

INCARICHI DA PROFESSORE/RICERCATORE VISITATORE

- Department of Mathematics, Strathclyde University (Glasgow, Scotland).
- Laboratoire MIP – Université Paul Sabatier (Toulouse, France).
- Gregorio Millan Institute, Universidad Carlos III (Madrid, Spain).
- IRMAR - Université de Rennes 1 (Rennes, France).
- Laboratoire CMI/LATP Universite de Provence (Marseille, France).
- Institute of Theoretical and Computational Physics, TU Graz (Graz, Austria).

PUBBLICAZIONI SCIENTIFICHE

- 70 articoli
- 7 conference proceedings
- 1 capitolo di libro
- 4 monografie

INTERVENTI A CONVEGNI E SCUOLE
- più di 50 comunicazioni scientifiche (27 su invito, 1 conferenza plenaria) a convegni nazionali e internazionali.
- Cicli di lezioni in 4 differenti scuole internazionali

INDICI BIBLIOMETRICI (fonti: Scopus/G-Scholar).

- Citazioni totali: 484/779
- H-index: 14/17
- 1 WOS Highly Cited paper

RESPONSABILITA’ DI PROGETTI DI RICERCA

- PRIN 2022 "Transport phenomena in low dimensional structures: models, simulations and theoretical aspects." Responsabile di unità locale (responsabile nazionale Prof. Vittorio Romano)

- "Classical and quantum kinetic models and their hydrodynamic limits: theoretical and applied aspects", Progetto Italo -Francese "Galileo" 2018 (Ref. G18_296)

- "MANUS - Modelling and Numerics for Spintronics and Graphene", Progetto Italo -Francese "PICS" 2016 (Ref. PICS07373).

- "NOSTRUM - Nonlinear Spectrum Modulation", Progetto Ente Cassa di Risparmio di Firenze 2015, in partenariato con la Scuola Superiore S. Anna di Pisa (Ref. 2015.0906).
- Progetto Nazionale GNFM-INdAM "Mathematical models for microelectronics" (Prot. n. 224/2004), 2004.
- Progetti di ricerca di Ateneo, anni 2014, 2015, 2017, 2020, 2021. 2022
- Progetti di ricerca GNFM-INdAM "Junior", anni 2001, 2002, 2013

PARTECIPAZIONE A PROGETTI DI RICERCA (solo principali)

- "Problemi evolutivi di tipo Hamiltoniano: analisi e modellistica matematica, risoluzione numerica ed applicazioni", Progetto strategico di ricerca di base dell’Università di Firenze, Responsabile Prof. L. Brugnano, 2014.
"Kinetic Modelling and Simulation of Reactive Gaseous Mixtures and Plasmas", progetto bilaterale Italia-Francia “Galileo”, Responsabile italiano Dott. F. Salvarani, Responsabile francese Prof. F. Charles, 2014.
- PRIN 2009 "Problemi matematici delle teorie cinetiche e applicazioni", PCoordinatore Prof. M. Pulvirenti.
- PRIN 2006 "Equazioni cinetiche e idrodinamiche di sistemi collisionali complessi", Coordinatore Prof. G. Toscani.
- Progetto INdAM-Intergruppo "Mathematical modelling and numerical analysis of quantum systems with applications to nanosciences", Coordinatore Prof. A. Sacchetti, 2005.
- Progetto MIUR Azioni Integrate Italia-Spagna "Effetti non-conservativi o quantistici sulle equazioni cinetiche e idrodinamiche per sistemi collisionali complessi", Responsabile italiano Prof. G. Spiga, Responsabile spagnolo Prof.ssa M. J. Càceres, 2007.
- COFIN 2004 "Problemi matematici delle teorie cinetiche", Coordinatore Prof. C. Cercignani.
- COFIN 2003 "Problemi matematici non lineari di propagazione e stabilità nei modelli del continuo", Coordinatore Prof. T. Ruggeri
- COFIN 2002 "Problemi matematici delle teorie cinetiche", Coordinatore Prof. C. Cercignani.
- COFIN 2000 "Problemi matematici delle teorie cinetiche", Coordinatore Prof. C. Cercignani.
- Progetto strategico CNR "Modelli matematici per i dispositivi a semiconduttore". Coordinatore nazionale Prof. C. Cercignani.
- COFIN 1998 Problemi matematici delle teorie cinetiche, Coordinatore Prof. C. Cercignani.
- Progetto coordinato CNR 1998 "Problemi fluidodinamici con interazioni di tipo dissipativo alla scala molecolare", Coordinatore Prof. R. Monaco.

DIREZIONE DI RICERCHE DI DOTTORANDI E POST-DOTTORANDI

- Assegno di ricerca PNNR-C1, "Modellizzazione matematica multi-scala per sistemi non isotermi complessi con applicazioni alla fluidodinamica" Benedetta Calusi (2022-2023)

- Assegno di ricerca "Communications techniques on nonlinear, dispersive optical fibers through the eigenvalues associated to the nonlinear Schrödinger equation", Laura Prati (2016-2017).

- PhD thesis "A Wigner equation with decoherence", Elisa Giovannini (2020).
- PhD thesis "Quantum fluid models for electron transport in graphene", Nicola Zamponi (2013).
- PhD thesis "A study of nonlinear Schroedinger equation for optical fibers", Domenico Felice (2012).
- PhD thesis "Constrained quantum motion of a particle in a plane", Giacomo Ricco (2008).
- PhD thesis "Semigroups in Fréchet spaces: real representation theorems and existence results by Gaussian estimates", Tiziano Granucci (2006).

ORGANIZZAZIONE DI SCUOLE E CONVEGNI
- Workshop "Modelling, Optimization and Control of Quantum systems in Technology and Education", Würzburg, 2023
- Convegno internazionale 27th International Conference on Transport Theory (ICTT-27)", Bertinoro 2022.
- Convegno 26th International Conference on Transport Theory (ICTT-26)" , Parigi, 2019
- Workshop “Mathematical Physics in Florence, a conference in honour of Govanni Borgioli and Fabio Rosso”, Firenze, 2019
- Convegno "Kinetic and transport equations: mathematical advances and applications", Parma, 2018
- Workshop "Nonlinear Fourier Transform in Optical Communications", Firenze, 2018
- Workshop "Mathematical Models for Quantum and Classical Mechanics", Firenze, 2016.
- Convegno 24th International Conference on Transport Theory (ICTT-24)", Taormina 2015.
- Workshop "Mathematical models for microelectronics", Firenze, 2012.
- Convegno/scuola "Summer school on Methods and Models of Kinetic Theory", Porto Ercole, edizioni 2002, 2004, 2006, 2018, 2021, 2022.
- Convegno "NANOQ 2006: Recent advances in the mathematical modeling and numerical simulation of nanoscale quantum semiconductor devices", Milano, 2006
- Convegno /scuola "Mathematical Methods in Quantum Mechanics", Bressanone, editions 2007, 2009, 2011.
- Workshop "Semiconductor modeling day - SeMoDay 2001", Firenze, 2001

PARTECIPAZIONE AL COMITATO EDITORIALE DI RIVISTE SCIENTIFICHE
- Associate Editor di Applied Mathematics and Computation.
- Guest Editor di Journal of Computational and Theoretical Transport.

ATTIVITA' DI REVISORE
- Revisore per le seguenti riviste: Acta Applicandae Mathematicae; Annali di Matematica Pura e Applicata; Annals of Physics; Applicable Analysis; Applied Mathematics and Computation; Bollettino dell’Unione Matematica Italiana; Communications in Industrial and Applied Mathematics; Communications in Mathematical Sciences; Communications in Nonlinear Science and Numerical Simulation; Computer and Mathematics with Applications; Continuum Mechanics and Thermodynamics; Entropy; European Physical Journal D; Europhysics Letters; Il Nuovo Cimento; Journal of Computational and Theoretical Transport; Journal of Computational Electronics; Journal of Computational Physics; Journal of Mathematics in Industry; Journal of Physics A; Journal of Physics D; Journal of Quantitative Spectroscopy and Radiative Transfer; Journal of Scientific Computing; Journal of Statistical Physics; Kinetic and Related Models; Mathematical Methods in the Applied Sciences; Mathematical Models and Methods in Applied Sciences; Nature Communication; Photonics; Physics Letters A; Ricerche di Matematica; Rivista Matematica dell’Università di Parma; Transport Theory and Statistical Physics.
- Revisore di progetti di ricerca per diverse istituzioni nazionali e internazionali (FWF, MIUR, IIASA).

PRINCIPALI RESPONSABILITA’ ISTITUZIONALI
- Direttore del Dipartimento
- Membro del Collegio dei docenti del Dottorato in Matematica.

Luigi BARLETTI

Pubblicazioni

Legenda

Contributo su rivista |

Articolo su libro |

Libro |

Contributo in atti di convegno (proceeding) |

Brevetto |

Curatela | Altro

Altro |

Tesi di Dottorato

Barletti, Luigi; Brugnano, Luigi; Gurioli, Gianmarco; Iavernaro, Felice (2024). Recent advances in the numerical solution of the Nonlinear Schrödinger Equation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 445, pp. 1-20, ISSN:0377-0427 DOI

Luigi Barletti; Lucio Demeio; Sara Nicoletti (2024). Quantum Navier–Stokes equations for electrons in graphene. ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK, vol. ..., pp. 0-0, ISSN:1521-4001 DOI Accesso ONLINE all'editore

Droescher, luigi Dei, Daniele Dominici, Massimo Mazzoni, Marco Benvenuti, Paola Bruni, Paola Turano, Giuseppe Anichini, Samuele Antonini, Luigi Barletti, Luigi Brugnano, Lorenzo Fusi, Veronica Gavagna, Carla Rampichini, Antonella Salvini, Pierandrea Lo Nostro (2024). L’Ateneo e il mondo della scienza.. In: Fulvio Conti, Emanuela Ferretti, Donatella Lippi, Antonella Salvini, Bernardo Sordi, Andrea Zorzi. Firenze e l’Università: Passato, presente e futuro., pp. 323-338, Firenze: Firenze University Press., vol. Firenze e l’Università: Passato, presente e futuro.: DOI Accesso ONLINE all'editore

Omar Morandi, Nella Rotundo, Alfio Borzì, Luigi Barletti (2024). An optimal control problem for the Wigner equation. SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 84, pp. 387-411, ISSN:1095-712X DOI Accesso ONLINE all'editore

luigi barletti (2024). Quantum corrections to drift-diffusion equations in graphene with smoothed energy-band. RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA, vol. 15, pp. 0-0, ISSN:0035-6298

Luigi Barletti, Giovanni Frosali, Francesco Ricci (2022). Esercizi di meccanica razionale per l'ingegneria. Bologna: Esculapio, ISBN:9788893853200 Accesso ONLINE all'editore

Luigi Barletti, Philipp Holzinger, Ansgar Jüngel (2022). Formal derivation of quantum drift-diffusion equations with spin-orbit interaction. KINETIC AND RELATED MODELS, vol. 15, pp. 257-282, ISSN:1937-5093 DOI Accesso ONLINE all'editore

Luigi Barletti, Paolo Bordone, Lucio Demeio, Elisa Giovannini (2021). Wigner function with correlation damping. PHYSICAL REVIEW. E, vol. 104, pp. 044112-044112(12), ISSN:2470-0045 DOI Accesso ONLINE all'editore

Luigi Barletti (2021). The two-spin model of a tracking chamber: a phase-space perspective. JOURNAL OF COMPUTATIONAL ELECTRONICS, vol. ., pp. 0-0, ISSN:1572-8137 DOI Accesso ONLINE all'editore

Luigi Barletti, Philipp Holzinger, Ansgar Jüngel (2021). Quantum drift-diffusion equations for a two dimensional electron gas with spin-orbit interaction. In: Luigi Barletti, Philipp Holzinger, Ansgar Jüngel. Recent Advances in Kinetic Equations and Applications, pp. 51-67, Berlin: Springer, ISBN:978-3-030-82945-2. DOI Accesso ONLINE all'editore

luigi barletti, Giovanni Nastasi, Claudia Negulescu, Vittorio Romano (2021). Mathematical modelling of charge transport in graphene heterojunctions. KINETIC AND RELATED MODELS, vol. 14, pp. 407-427, ISSN:1937-5093 DOI Accesso ONLINE all'editore

Luigi Barletti (2020). A mathematical walk into the paradox of Bloch oscillations. JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, vol. ., pp. 0-0, ISSN:2332-4325 DOI Accesso ONLINE all'editore

Luigi Barletti, Luigi Brugnano, Yifa Tang, Beibei Zhu (2020). Spectrally accurate space-time solution of Manakov systems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 377, pp. 11291801-11291820, ISSN:0377-0427 DOI Accesso ONLINE all'editore

Barletti, Luigi; Frosali, Giovanni (2020). Meccanica Razionale per l'Ingegneria. Bologna: Società Editrice Esculapio srl, ISBN:9788893852166 Accesso ONLINE all'editore

luigi barletti, giorgio ottaviani (2019). Il premio Laboratorio Matematico “Riccardo Ricci” 2014-2016. di Autori vari, Firenze: Firenze University Press, 978-88-6453-938-6. Accesso ONLINE all'editore

Luigi Barletti; Claudia Negulescu (2018). Quantum transmission conditions for diffusive transport in graphene with steep potentials. JOURNAL OF STATISTICAL PHYSICS, vol. 171, pp. 696-726, ISSN:0022-4715 DOI Accesso ONLINE all'editore

Luigi Barletti, Giovanni Frosali, Elisa Giovannini (2018). Adding decoherence to the Wigner equation. JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, vol. 47, pp. 209-225, ISSN:2332-4309 DOI

Laura Prati, Luigi Barletti (2018). Some results on discrete eigenvalues for the Stochastic Nonlinear Schrödinger Equation in fiber optics. COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, vol. 9, pp. 87-103, ISSN:2038-0909 DOI Accesso ONLINE all'editore

Barletti, L.; Brugnano, L.; Frasca Caccia, G.; Iavernaro, F. (2018). Energy-conserving methods for the nonlinear Schroedinger equation. APPLIED MATHEMATICS AND COMPUTATION, vol. 318, pp. 3-18, ISSN:0096-3003 DOI

Barletti, L.; Brugnano, L.; Frasca Caccia, G.; Iavernaro, F. (2017). Solving the nonlinear Schrödinger equation using energy conserving Hamiltonian boundary value methods. In: INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016), T.E.Simos, vol. 1863, pp. 1600021-1600024, ISBN:978-0-7354-1538-6 DOI

Barletti, Luigi; Negulescu, Claudia (2017). Hybrid classical-quantum models for charge transport in graphene with sharp potentials. JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, vol. 46, pp. 159-175, ISSN:2332-4309 DOI Accesso ONLINE all'editore

Gjata, Oltiana; Asllani, Malbor; Barletti, Luigi; Carletti, Timoteo (2017). Using Hamiltonian control to desynchronize Kuramoto oscillators. PHYSICAL REVIEW. E, vol. 95, pp. 022209-1-022209-6, ISSN:2470-0053 DOI Accesso ONLINE all'editore

Barletti, Luigi; Brugnano, Luigi; Frasca Caccia Gianluca; Iavernaro, Felice (2016). Recent Advances in the Numerical Solution of Hamiltonian Partial Differential Equations. In: Numerical Computations: Theory and Algorithms - NUMTA 2016: The 2nd International Conference and Summer School, Pizzo Calabro (Italy), June 19-25, 2016, AIP Conference Proceedings, vol. 1776, pp. 020002-1-020002-8, ISBN:978-0-7354-1438-9 DOI Accesso ONLINE all'editore

Luigi Barletti; Angiolo Farina; Lorenzo Fusi; Federico Talamucci (2016). Lezioni di sistemi dinamici. di Riccardo Ricci, Firenze: Firenze University Press, 978-88-6453-400-8. Accesso ONLINE all'editore

Barletti, Luigi; Frosali, Giovanni; Prinja, Anil; Romano, Vittorio (2016). The 24th International Conference on Transport Theory (ICTT-24), Taormina, Italy, September 7-11, 2015. JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, vol. 45, pp. 159-161, ISSN:2332-4309 DOI Accesso ONLINE all'editore

Barletti, L.; Salvarani, F. (2016). On a nonlinear parabolic problem arising in the quantum diffusive description of a degenerate fermion gas. SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 76, pp. 867-886, ISSN:0036-1399 DOI Accesso ONLINE all'editore

Barletti, L. (2016). Hydrodynamic equations for an electron gas in graphene. JOURNAL OF MATHEMATICS IN INDUSTRY, vol. 6, pp. 1-17, ISSN:2190-5983 DOI Accesso ONLINE all'editore

Luigi Barletti (2016). Derivation of a hydrodynamic model for electron transport in graphene via entropy maximization. In: Giovani Russo, Vincenzo Capasso, Giuseppe Nicosia, Vittorio Romano. Progress in industrial mathematics at ECMI 2014, pp. 731-739 Springer International Publishing, ISBN:978-3-319-23412-0. DOI Accesso ONLINE all'editore

Barletti, Luigi; Secondini, Marco (2015). Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach. OPTICS EXPRESS, vol. 23, pp. 27419-27433, ISSN:1094-4087 DOI Accesso ONLINE all'editore

Luigi Barletti; Florian Méhats; Claudia Negulescu; Stefan Possanner (2015). Numerical study of a quantum-diffusive spin model for two-dimensional electron gases. COMMUNICATIONS IN MATHEMATICAL SCIENCES, vol. 13, pp. 1347-1378, ISSN:1539-6746 DOI Accesso ONLINE all'editore

Domenico Felice; Luigi Barletti (2015). Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 38, pp. 920-929, ISSN:0170-4214 DOI Accesso ONLINE all'editore

Civelli, Stella; Barletti, Luigi; Secondini, Marco (2015). Numerical methods for the inverse nonlinear Fourier transform. In: 2015 Tyrrhenian International Workshop on Digital Communications, TIWDC 2015, Firenze, Italia, 22 Settembre 2015, Institute of Electrical and Electronics Engineers Inc., pp. 13-16, ISBN:9781467392600 DOI Accesso ONLINE all'editore

Luigi Barletti (2014). Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle. JOURNAL OF MATHEMATICAL PHYSICS, vol. 55, pp. 083303-1-083303-21, ISSN:0022-2488 DOI Accesso ONLINE all'editore

Laura Cantini; Claudia Cianci; Duccio Fanelli; Emma Massi; Luigi Barletti; Malbor Asllani (2014). Stochastic amplification of spatial modes in a system with one diffusing species. JOURNAL OF MATHEMATICAL BIOLOGY, vol. 69, pp. 1585-1608, ISSN:0303-6812 DOI Accesso ONLINE all'editore

L. Barletti; G. Borgioli; G. Frosali (2014). Semiclassical hydrodynamics of a quantum Kane model for semiconductors. TRUDY INSTITUTA MATEMATIKI, vol. 11(1), pp. 11-29, ISSN:1812-5093

Laura Cantini; Claudia Cianci; Duccio Fanelli; Emma Massi; Luigi Barletti (2014). Linear noise approximation for stochastic oscillations of intracellular calcium. JOURNAL OF THEORETICAL BIOLOGY, vol. 349, pp. 92-99, ISSN:0022-5193 DOI Accesso ONLINE all'editore

L.BARLETTI; G.FROSALI; O.MORANDI (2014). Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals. In: M. Ehrhardt and T. Koprucki. Multi-Band Effective Mass Approximations. Advances Mathematical Models and Numerical Techniques, pp. 3-56, Berlin: Springer, ISBN:9783319014265. DOI Accesso ONLINE all'editore

Omar Morandi; Luigi Barletti (2014). Particle dynamics in graphene: Collimated beam limit. JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, vol. 43, pp. 1-15, ISSN:2332-4309 DOI Accesso ONLINE all'editore

Luigi Barletti; Carlo Cintolesi (2012). Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics. JOURNAL OF STATISTICAL PHYSICS, vol. 148, pp. 353-386, ISSN:0022-4715 DOI Accesso ONLINE all'editore

Luigi Barletti (2012). Quantum fluid models for nanoelectronics. COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, vol. 3, pp. 417-1-417-18, ISSN:2038-0909 DOI Accesso ONLINE all'editore

L. BARLETTI; G. FROSALI (2012). Diffusive limits for a quantum transport model with strong field. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 41, pp. 473-493, ISSN:0041-1450 DOI Accesso ONLINE all'editore

Claudia Cianci; Francesca Di Patti; Duccio Fanelli; Luigi Barletti (2012). Analytical study of non Gaussian fluctuations in a stochastic scheme of autocatalytic reactions. THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS, vol. 212, pp. 5-22, ISSN:1951-6355 DOI Accesso ONLINE all'editore

A. Speranza; L. Barletti; L. Meacci; S. Fanfani; I. Borsi; A. Monti (2011). Glow discharge in low pressure plasma PVD: mathematicalmodel and numerical simulations. MECCANICA, vol. 46, pp. 681-697, ISSN:0025-6455 DOI Accesso ONLINE all'editore

N. Zamponi; L. Barletti (2011). Quantum electronic transport in graphene: a kinetic and fluid-dynamic approach. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 34, pp. 807-818, ISSN:0170-4214 DOI Accesso ONLINE all'editore

L. Barletti; N. Ben Abdallah (2011). Quantum transport in crystals: effective mass theorem and KP Hamiltonians. COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 307, pp. 567-607, ISSN:0010-3616 DOI Accesso ONLINE all'editore

OMAR MORANDI; LUIGI BARLETTI; GIOVANNI FROSALI (2011). Perturbation theory in terms of a generalized phase-space quantization procedure. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 4(1), pp. 1-18, ISSN:1972-6724

L. Barletti; G. Busoni (2010). Deterministic effective equations for the propagation of expectation in noisy nonlinear optical fibers. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 33(10), pp. 1221-1227, ISSN:0170-4214 DOI Accesso ONLINE all'editore

Luigi Barletti; Florian Méhats (2010). Quantum drift-diffusion modeling of spin transport in nanostructures. JOURNAL OF MATHEMATICAL PHYSICS, vol. 51, pp. 053304-1-053304-20, ISSN:0022-2488 DOI Accesso ONLINE all'editore

L. BARLETTI; G. FROSALI (2010). Diffusive limit of the two-band k.p model for semiconductors. JOURNAL OF STATISTICAL PHYSICS, vol. 139, pp. 280-306, ISSN:0022-4715 DOI Accesso ONLINE all'editore

L.L. Bonilla; L. Barletti; M. Alvaro (2010). Nonlinear electron and spin transport in semiconductor superlattices. In: ECMI 2008, Londra - University College, 30 giugno - 4 luglio 2008, Springer, pp. 141-146, ISBN:9783642121098 DOI Accesso ONLINE all'editore

L. Graziani; L. Barletti; S. Aiello; C. Cecchi-Pestellini (2010). Radiative transfer modelling in protoplanetary disks with the P-N approximation and Monte Carlo techniques. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 33(10), pp. 1263-1273, ISSN:0170-4214 DOI Accesso ONLINE all'editore

Santi Aiello; Luigi Barletti; Aldo Belleni-Morante (2009). Identification of photon sources, stochastically embedded in an interstellar cloud. KINETIC AND RELATED MODELS, vol. 2(3), pp. 425-432, ISSN:1937-5093 DOI Accesso ONLINE all'editore

L. L. Bonilla; L. Barletti; M. Alvaro (2008). Nonlinear electron and spin transport in semiconductor superlattices. SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 69(2), pp. 494-513, ISSN:0036-1399 DOI Accesso ONLINE all'editore

L. BARLETTI; G. FROSALI; L. DEMEIO (2007). Multiband quantum transport models for semiconductor devices. In: C.Cercignani, E.Gabetta (Eds.). "Transport Phenomena and Kinetic Theory", Modeling and Simulation in Science, Engineering and Technology, pp. 55-89, Boston: Birkhauser, ISBN:9780817644895. DOI

L. BARLETTI; A. BELLENI MORANTE; R. MONACO (2007). Kinetic models for dust coagulation in interstellar clouds. BULLETIN OF THE INSTITUTE OF MATHEMATICS, ACADEMIA SINICA, vol. 2(2), pp. 235-249, ISSN:0304-9825

L. BONILLA; L. BARLETTI; R. ESCOBEDO; M. ALVARO (2007). Nonlinear electronic transport in semiconductor superlattices. In: CUTELLO V.; FOTIA G.; PUCCIO L.. Applied and Industrial Mathematics in Italy II, pp. 184-195, SINGAPORE: World Scientific, ISBN:9789812709387. DOI

F. GALARDI; I. CORRALES; A. MENGONI; S. PUCCI; L. BARLETTI; R. BARZANTI; M. ARNETOLI; R. GABBRIELLI; C. GONNELLI (2007). Intra-specific differences in nickel tolerance and accumulation in the Ni-hyperaccumulator Alyssum bertolonii. ENVIRONMENTAL AND EXPERIMENTAL BOTANY, vol. 60, pp. 377-384, ISSN:0098-8472 DOI Accesso ONLINE all'editore

F. GALARDI; A. MENGONI; S. PUCCI; L. BARLETTI; L. MASSI; R. BARZANTI; R. GABBRIELLI; C. GONNELLI (2007). Intra-specific differences in mineral element composition in the Ni-hyperaccumulator Alyssum bertolonii: A survey of populations in nature. ENVIRONMENTAL AND EXPERIMENTAL BOTANY, vol. 60, pp. 50-56, ISSN:0098-8472

C. MANZINI; L. BARLETTI (2005). An analysis of the Wigner-Poisson problem with inflow boundary conditions. NONLINEAR ANALYSIS, vol. 60(1), pp. 77-100, ISSN:0362-546X DOI Accesso ONLINE all'editore

L. BARLETTI (2005). Quantum moment equations for a two-band k.p Hamiltonian. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. (8) 8-B, pp. 103-121, ISSN:0392-4041

F. DRAGONI; L. BARLETTI (2005). An inverse problem for two-frequency photon transport in a slab. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 28(14), pp. 1695-1714, ISSN:0170-4214 DOI Accesso ONLINE all'editore

L. BARLETTI; R. MONACO; F. SALVARANI (2005). A kinetic approach to dust coagulation. RICERCHE DI MATEMATICA, vol. LIV(1), pp. 271-291, ISSN:0035-5038

L. BARLETTI (2005). A "spinorial" Wigner function describing the two-band k.p dynamics of electrons in crystals. In: M. PRIMICERIO; R. SPIGLER; V. VALENTE. Applied and Industrial Mathematics in Italy, pp. 100-111, SINGAPORE: World Scientific, ISBN:9812563687. DOI

L. BARLETTI (2004). On the thermal equilibrium of a quantum system described by a two-band Kane Hamiltonian. IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, vol. 119(12), pp. 1125-1140, ISSN:1594-9982 DOI Accesso ONLINE all'editore

L. BARLETTI (2003). A mathematical introduction to the Wigner formulation of quantum mechanics. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 6-B,, pp. 693-716, ISSN:0392-4041

L. DEMEIO; L. BARLETTI; P. BORDONE; C. JACOBONI (2003). Wigner function for multiband transport in semiconductors. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 32(3/4), pp. 307-325, ISSN:0041-1450 DOI Accesso ONLINE all'editore

G. BUSONI; L. BARLETTI (2003). A kinetic model of a dusty plasma with discrete charges. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 32(2), pp. 133-155, ISSN:0041-1450 DOI Accesso ONLINE all'editore

L. BARLETTI (2003). Wigner envelope functions for electron transport in semiconductor devices. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 32(3/4), pp. 253-277, ISSN:0041-1450 DOI Accesso ONLINE all'editore

L. Barletti; L. Demeio (2002). Wigner-function approach to multi-band transport insemiconductor devices. In: VI Congresso della Societa' Italiana di Matematica Applicata e Industriale, Cagliari, 27-31 Maggio 2002, Societa' Italiana di Matematica Applicata e Industriale, pp. .-..

L. Demeio; L. Barletti; A. Bertoni; P. Bordone; C. Jacoboni (2002). Wigner-function approach to multiband transport in semiconductors. PHYSICA. B, CONDENSED MATTER, vol. 314, pp. 104-107, ISSN:0921-4526 DOI Accesso ONLINE all'editore

J. Banasiak; L. Barletti (2001). On the existence of propagators in stationary Wigner equation without velocity cutoff. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 30(7), pp. 659-672, ISSN:0041-1450 DOI Accesso ONLINE all'editore

C. Cecchi-Pestellini; L. Barletti; A. Belleni-Morante; S. Aiello (2001). A kinetic model for dust coagulation. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, vol. 70(1), pp. 1-9, ISSN:0022-4073 DOI Accesso ONLINE all'editore

L. Barletti; P. Zweifel (2001). Parity-decomposition method for the stationary Wigner equation with inflow boundary conditions. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 30(4/6), pp. 507-520, ISSN:0041-1450 DOI Accesso ONLINE all'editore

L. Barletti; C. Cecchi Pestellini (2001). Radiative transfer in a stochastic universe. II - The method of projections,. NEW ASTRONOMY, vol. 6(3), pp. 165-172, ISSN:1384-1076 DOI Accesso ONLINE all'editore

C. Cecchi Pestellini; L. Barletti (2001). Radiative transfer in a stochastic universe. I - Observation-related statistics.. NEW ASTRONOMY, vol. 6(3), pp. 151-163, ISSN:1384-1076 DOI Accesso ONLINE all'editore

A. Belleni Morante; L. Barletti; C. Cecchi Pestellini; S. Aiello (2000). A Boltzmann-like model for interstellar dust coagulation. CONFERENZE DEL SEMINARIO DI MATEMATICA DELL'UNIVERSITÀ DI BARI, vol. 278, pp. 1-19, ISSN:0374-2113

L. BARLETTI; G. BORGIOLI; M. CAMPRINI; A. CIDRONALI; G. FROSALI (2000). Tunneling current in resonant interband tunneling diode (RITD) - Corrente di tunneling in un diodo risonante interbanda (RITD). In: V CONGRESSO NAZIONALE/SIMAI (SOCIETÀ ITALIANA DI MATEMATICA APPLICATA ED INDUSTRIALE)., ISCHIA PORTO (NAPOLI), 5-9 giugno 2000, pp. 558-561.

C. Cecchi-Pestellini; L. Barletti; S. Aiello; A. Belleni-Morante (2000). Mathematical methods for photon transport in random media. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, vol. 65(6), pp. 835-851, ISSN:0022-4073 DOI Accesso ONLINE all'editore

S. Aiello; L. Barletti; A. Belleni-Morante; C. Cecchi-Pestellini (2000). Mathematical description of interstellar dust coagulation. In: 9th GIFCO Conference, Lecce, 24-16 Maggio 2000, Societa' Italiana di Fisica, vol. 68, pp. 157-162, ISBN:8877942401

L. Barletti (2000). Some remarks on affine evolution equations with appIications to particle transport theory. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, vol. 10(6), pp. 877-893, ISSN:0218-2025 DOI Accesso ONLINE all'editore

C. Cecchi Pestellini; L. Barletti; A. Belleni Morante; S. Aiello (1999). Radiative transfer in the stochastic interstellar medium. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 28(3), pp. 199-228, ISSN:0041-1450 DOI Accesso ONLINE all'editore

Luigi Barletti (1999). Un modello matematico per il trasporto di radiazione in mezzi aleatori. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A, vol. (8) 2-A Suppl., pp. 163-166, ISSN:0392-4033

L. Barletti (1998). A Fourier-Iike method for the expectation problem in stochastic transport theory. TRANSPORT THEORY AND STATISTICAL PHYSICS, vol. 27(3/4), pp. 289-302, ISSN:0041-1450 DOI

L. Barletti (1998). Un modello matematico per il trasporto di radiazione in mezzi aleatori. (Tutor: Aldo Belleni-Morante)

A. Belleni Morante; L. Barletti (1998). A particle transport problem with nonhomogeneous reflection boundary conditions. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 21(11), pp. 1049-1066, ISSN:0170-4214 DOI Accesso ONLINE all'editore

A. Belleni-Morante; L. Barletti (1998). Photon transport in an interstellar cloud. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. SUPPLEMENTO, vol. (2) suppl. 57, pp. 39-45, ISSN:1592-9531

Luigi Barletti (1996). Linear transport of particles on networks. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, vol. 06, pp. 279-294, ISSN:0218-2025 DOI Accesso ONLINE all'editore

Luigi Barletti (1993). Sul problema della curva equicordale. ARCHIMEDE, vol. 4, pp. 194-199, ISSN:0390-5543

Luigi BARLETTI

Curriculum

CURRENT POSITION
Full Professor of Mathematical Physics (s.s.d. MAT/07),
Dipartimento di Matematica e Informatica "U. Dini", Università di Firenze.

CURSUS
- 1995-1998: PhD in Mathematics (under the supervision of Prof. A. Belleni-Morante).
- 1998-1999: post-doc research grant from Università di Firenze.
- 1999-2014: University Researcher.
- 2014-2021: Associate Professor.
- 2021-current: Full Professor

OTHER AFFILIATIONS
- Member if CSDC (Centro Interdipartimentale per lo Studio delle Dinamiche Complesse) of Università di Firenze, since 2014.
- Member of the “Wigner Initiative” (international community od scholars on the Wigner formalism quantum mechanics and its applications), since 2014.
- Member of GNFM-INdAM (National Group of Mathematical Physics), since 1994.
- Member of SIMAI (Italian Society of Industrial and Applied Mathematics), since 1996
- Member of UMI (Italian Mathematical Union), since 1999

VISITING PROFESSOR/RESEARCHER
- Department of Mathematics, Strathclyde University (Glasgow, Scotland).
- Laboratoire MIP - Univ. Paul Sabatier (Toulouse, France).
- Gregorio Millan Institute, Universidad Carlos III (Madrid, Spain).
- IRMAR - Universite de Rennes 1 (Rennes, France).
- Laboratoire CMI/LATP Universite de Provence (Marseille, France).
- Institute of Theoretical and Computational Physics, TU Graz (Graz, Austria).

AUTHORED SCIENTIFIC PUBLICATIONS AND COMMUNICATIONS
- 70 papers
- 7 conference proceedings
- 1 book chapter
- 4 monographs

CONFERENCES AND SCHOOLS
- more than 50 communications (27 invited, 1 plenary) at national and international conferences.
- Main lecturer in 4 different international schools

BIBLIOMETRIC INDICES (sources: Scopus/GScholar).
- Total citations: 484/779
- H-index: 14/17
- 1 WOS Highly Cited paper

P.I. OF RESEARCH PROJECTS- PRIN 2022 “Transport phenomena in low dimensional structures: models, simulations and theoretical aspects”. Local unit PI (national PI Prof. Vittorio Romano)

- "Classical and quantum kinetic models and their hydrodynamic limits: theoretical and applied aspects", Italian-French project "Galileo" 2018 (Ref. G18_296)
- "MANUS - Modelling and Numerics for Spintronics and Graphene", Italian-French project "PICS" 2016 (Ref. PICS07373).
- "NOSTRUM - Nonlinear Spectrum Modulation", Progetto Ente Cassa di Risparmio di Firenze 2015, in cooperation with Scuola Superiore S. Anna of Pisa (Ref. 2015.0906).
- National GNFM-INdAM project "Mathematical models for microelectronics" (Prot. n. 224/2004), 2004.
- Università di Firenze research projects, years 2014, 2015, 2017, 2020, 2021
- "Junior" GNFM-INdAM projects, years 2001, 2002, 2013

MEMBER OF RESEARCH PROJECTS (only major ones)
- "Hamiltonian evolution problems: mathematical modeling and analysis, numerical methods and applications", Progetto strategico di ricerca di base dell’Università di Firenze, P.I. Prof. L. Brugnano, 2014.
- "Kinetic Modelling and Simulation of Reactive Gaseous Mixtures and Plasmas", Italian-French project "Galileo" , Italian P.I. Dott. F. Salvarani, French P.I. Prof. F. Charles, 2014.
- PRIN 2009 "Mathematical problems of kinetic theories and applications", P.I. Prof. M. Pulvirenti.
- PRIN 2006 "Hydrodynamic and kinetic equations in complex collisional systems", P.I. Prof. G. Toscani.
- INdAM Intergroup project "Mathematical modelling and numerical analysis of quantum systems with applications to nanosciences", P.I. Prof. A. Sacchetti, 2005.
- Italian-Spanish project “Azioni Integrate Italia-Spagna”: Non-conservative or quantum effects on the kinetic equations for complex collisional systems", Italian P.I. Prof. G. Spiga, Spanish P.I. Prof. M. J. Càceres, 2007.
- COFIN 2004 "Mathematical problems of kinetic theories", P.I. Prof. C. Cercignani.
- COFIN 2003 "Nonlinear mathematical problems of stability and propagation in the continuum models", Coordinatore Prof. T. Ruggeri
- COFIN 2002 "Mathematical problems of kinetic theories", P.I. Prof. C. Cercignani.
- COFIN 2000 "Mathematical problems of kinetic theories", P.I. Prof. C. Cercignani.
- Progetto strategico CNR "Modelli matematici per i dispositivi a semiconduttore". P.I. Prof. C. Cercignani.
- COFIN 1998 "Mathematical problems of kinetic theories", P.I. Prof. C. Cercignani.
- CNR project 1998 "Fluid-dynamical problems with dissipative interactions at the molecular scale", P.I. Prof. R. Monaco.

DIRECTION OF PHD AND POST-DOC RESEARCH
- Research grant (Assegno di ricerca) PNNR-CN1 "Mathematical modelling of multi-scale non-isothermal complex systems with applications to fluid dynamics", Benedetta Calusi 82022-2023).
- Research grant (Assegno di ricerca) "Communications techniques on nonlinear, dispersive optical fibers through the eigenvalues associated to the nonlinear Schrödinger equation", Laura Prati (2016-2017).
- PhD thesis "A Wigner equation with decoherence", Elisa Giovannini (2020).
- PhD thesis "Quantum fluid models for electron transport in graphene", Nicola Zamponi (2013).
- PhD thesis "A study of nonlinear Schroedinger equation for optical fibers", Domenico Felice (2012).
- PhD thesis "Constrained quantum motion of a particle in a plane", Giacomo Ricco (2008).
- PhD thesis "Semigroups in Fréchet spaces: real representation theorems and existence results by Gaussian estimates", Tiziano Granucci (2006).

ORGANIZATION OF CONFERENCES AND SCHOOLS
- Workshop "Modelling, Optimization and Control of Quantum systems in Technology and Education", Würzburg, 2023
- Conference 27th International Conference on Transport Theory (ICTT-27)", Bertinoro 2022.
- Conference 26th International Conference on Transport Theory (ICTT-26)" , Parigi, 2019
- Workshop “Mathematical Physics in Florence, a conference in honour of Govanni Borgioli and Fabio Rosso”, Firenze, 2019
- Conference "Kinetic and transport equations: mathematical advances and applications", Parma, 2018
- Workshop "Nonlinear Fourier Transform in Optical Communications", Firenze, 2018
- Workshop "Mathematical Models for Quantum and Classical Mechanics", Firenze, 2016.
- Conference 24th International Conference on Transport Theory (ICTT-24)", Taormina 2015.
- Conference "Mathematical models for microelectronics", Firenze, 2012.
- Conference/school "Summer school on Methods and Models of Kinetic Theory", Porto Ercole, editions 2002, 2004, 2006, 2018, 2021, 2022.
- Conference "NANOQ 2006: Recent advances in the mathematical modeling and numerical simulation of nanoscale quantum semiconductor devices", Milano, 2006
- Conference/school "Mathematical Methods in Quantum Mechanics", Bressanone, editions 2007, 2009, 2011.
- Workshop "Semiconductor modeling day - SeMoDay 2001", Firenze, 2001

EDITORIAL ACTIVITIES
- Associate Editor of Applied Mathematics and Computation (since 2016)
- Guest Editor of Journal of Computational and Theoretical Transport (2015 - 2017).

REVIEWER ACTIVITIES
- Reviewer for the following Journals: Acta Applicandae Mathematicae; Annali di Matematica Pura e Applicata; Annals of Physics; Applicable Analysis; Applied Mathematics and Computation; Bollettino dell’Unione Matematica Italiana; Communications in Industrial and Applied Mathematics; Communications in Mathematical Sciences; Communications in Nonlinear Science and Numerical Simulation; Computer and Mathematics with Applications; Continuum Mechanics and Thermodynamics; Entropy; European Physical Journal D; Europhysics Letters; Il Nuovo Cimento; Journal of Computational and Theoretical Transport; Journal of Computational Electronics; Journal of Computational Physics; Journal of Mathematics in Industry; Journal of Physics A; Journal of Physics D; Journal of Quantitative Spectroscopy and Radiative Transfer; Journal of Scientific Computing; Journal of Statistical Physics; Kinetic and Related Models; Mathematical Methods in the Applied Sciences; Mathematical Models and Methods in Applied Sciences; Nature Communication; Photonics; Physics Letters A; Ricerche di Matematica; Rivista Matematica dell’Università di Parma; Transport Theory and Statistical Physics.
- Reviewer for several national and international funding Institutions (FWF, MIUR, IIASA).

MAIN INSTITUTIONAL RESPONSIBILITIES
- Director of the Department
- Member of Collegio dei docenti (College of teachers) of the PhD School in Mathematics.