Applied Mathematics

G. Anichini, Existence of solutions of some quadratic integral equations, n. fasc. 28, n. 4, 2008, Opuscola mathematica, pag 433 - 440, (con G. Conti).

G. Anichini, Existence of solutions for quadratic integral equations on unbounded intervals, submitted, (con G. Conti).

G. Anichini, Probabilit`a e statistica a scuola(matematicamente) insieme / Probability and statistics, arm in arm in school, under a mathematics teachers umbrella INDUZIONI, 37, (2008), pag. 59.

G. Anichini, Un gioco con tre dadi ? ; INDUZIONI, Vol 38, (2009), pag. 9, (con G. Baruzzo, M.G. Ottaviani, P. Ranzani).

G.Anichini Intervista-video sulla Statistica a scuola (sito, attivo al 28 aprioe 2010): http://www.treccani.it/Portale/sito/comunita/webTv/videos/Int Anichini Statistica.html (in data 23 febbraio 2010).

G.Anichini Articolo sul portale dell’Enciclopedia Treccani (sito attivo al 28 aprile 2010): http://www.treccani.it/Portale/sito/scuola/dossier/2010/statistica/mainArea.html

F. Battaglia, Nonrational polytopes and compactifications of quasitori, arXiv:0804.0626v1 [math.AG] (2008), inviato per la pubblicazione.

F. Battaglia ed E. Prato: The Symplectic Geometry of Penrose Rhombus Tilings, Journal of Symplectic Geometry, (2) 6 (2008) 139-158.

F. Battaglia, E. Prato, The Symplectic Penrose Kite, Comm. Math. Phys., Vol. 299 (2010), Number 3, 577-601.

F. Battaglia, Betti numbers of the geometric spaces associated to nonrational simple convex polytopes, in corso di stampa su Proc. Amer. Math. Soc.

F. Battaglia, E. Prato, Ammann Tilings in Symplectic Geometry, arXiv:1004.2471v2 [math.SG] (2010), inviato per la pubblicazione.

P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On Forced Fast Oscillations for Forced Delay Differential Equations on Compact Manifolds, J. Differential Equations 246 (2009), 1354– 1362.

P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Delay differential equations on manifolds and applications to motion problems for forced constrained systems, Zeitschrift fur Analysis und ihre Anwendungen, 28 (2009), 451–474.

P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Retarded functional differential equations on manifolds and applications to motion problems for forced constrained systems., Adv. Nonlinear Stud. 9 (2009), 199–214.

P. Benevieri, A. Calamai, M. Furi, M.P. Pera, Fast Forced Oscillations for Constrained Motion Problems with Delay, in uscita su Communications in Applied Analysis.

P. Benevieri, A. Calamai, Bifurcation Results for a Class of Perturbed Fredholm Maps, Fixed Point Theory and Applications, Volume 2008 (2008), Article ID 752657, 19 pages.

P. Benevieri, P. Piccione, On a formula for the spectral flow and its applications, Mathematische Nachrichten, 283, No. 5 (2010), 659–685.

P. Benevieri, A. Calamai, A Borsuk-type theorem for some classes of perturbed Fredholm maps, Topological Methods in Nonlinear Analysis, 35, No. 2 (2010), 379–394.

P. Benevieri, A. Calamai, M. Furi, M.P. Pera, A continuation result for forced oscillations of constrained motion problems with infinite delay, in uscita su Advanced Nonlinear Studies.

P. Benevieri, A. Calamai, M. Furi, M.P. Pera, On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force, in uscita su Journal of Dynamics and Differential Equations.

P. Benevieri and M. Furi, On the uniqueness of the degree for nonlinear Fredholm maps of index zero between Banach manifolds, inviato per la pubblicazione.

P. Benevieri, A. Calamai, M. Furi and M.P. Pera, On General Properties of Retarded Functional Differential Equations on Manifolds, in preparazione.

F. Bucci, I. Chueshov, Long-time dynamics of a coupled system of nonlinear wave and ther- moelastic plate equations, Discrete Contin. Dyn. Syst. Ser. A (DCDS-A), Vol. 22 (2008), n. 3, 557–586.

F. Bucci, Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results, Appl. Math., Vol. 35 (2008), n. 3, 305-321.

F. Bucci, I. Lasiecka, Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions, Calc. Var. Partial Differential Equations, Vol. 37 (2010), no. 1-2, 217–235.

F. Bucci, D. Toundykov, Finite dimensional attractor for a composite system of wave/plate equations with localised damping, Nonlinearity, Vol. 23 (2010), no. 9, 2271-2306.

F. Bucci, I. Lasiecka, Regularity of boundary traces for a fluid-solid interaction model, Di- screte Contin. Dyn. Syst. Ser. S (DCDS-S), Vol. 4 (2011), n. 3 (on-line dal 3 Dicembre 2010).

D.Canarutto: Fermi transport of spinors and free QED states in curved spacetime, Internatio- nal Journal of Geometric Methods in Modern Physics 6 N.5 (2009), 805–824 arXiv:0812.0651 [math-ph].

D.Canarutto: Hermitian vector fields and covariant quantum mechanics of a spin parti- cle, International Journal of Geometric Methods in Modern Physics 7 N.4 (2010), 599–623. arXiv:0909.1797 [math-ph].

D.Canarutto: Tetrad gravity, electroweak geometry and conformal symmetry, International Journal of Geometric Methods in Modern Physics 8 N.4 (2011), to appear. arXiv:1009.2255v2 [math-ph].

D.Canarutto: Positive spaces, generalized semi-densities and quantum interactions (in fase di stesura avanzata).

P. de Bartolomeis Symplectic and Lagrangian Constructions, preprint (2008)

P. de Bartolomeis, F. Meylan Intrinsic Deformation Theory of CR Structures, Annali SNS, Pisa, Cl Sci(5), vol IX, 459-494 (2010)

P. de Bartolomeis, A. Tomassini Exotic Deformations of Calabi-Yau Manifolds, preprint (2009)

P. de Bartolomeis, A. Iordan Deformations of Levi-flat Hypersurfaces in Complex Manifolds, preprint (2010)

P. de Bartolomeis, V. S. Mateev Some Remarks on Nijenhuis Bracket, Formality, and Kahler Manifolds, preprint (2010)

G. Borgioli, G. Frosali, and C. Manzini, Derivation of a quantum hydrodynamic model in the high-field case. In N. Manganaro et al. (Eds.), “Proceedings WASCOM2007 - 14th Conference on Waves and Stability in Continuous Media, World Scientific, Singapore, 2008, pp. 60-65

G. Borgioli, G. Frosali, and C. Manzini, Quantum high-field corrections to a drift-collision balance model of semiconductor transport, 20th International Conferen- ce on Transport Theory, ICTT 2007, Obninsk, Russia, July 22-28, 2007, Trans- port Theory Statist. Phys. 37(5), 381-411 (2008) DOI: 10.1080/00411450802526293 - http://dx.doi.org./10.1080/00411450802526293

G. Frosali, V. Ginkin, M. Makai, and I. P`azsit, Editors Preface of the Special Is- sue Devoted to the refereed articles presented at the 20th International Conferen- ce on Transport Theory, ICTT 2007, Obninsk, Russia, July 22-28, 2007, Trans- port Theory Statist. Phys. 37(5-7), 378-380 (2008) DOI: 10.1080/00411450802592220 - http://dx.doi.org./10.1080/00411450802592220

N. Ben Abdallah and G. Frosali, Editors, Quantum Transport: Modelling, Analysis and Asymptotics, Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11-16, 2006 Lecture Notes in Mathematics 1946, (2008).

A. Bobylev, L. Desvillettes, G. Frosali, R. Monaco, G. Spiga, G. Toscani (a cura di), Summer School on Methods and Models of Kinetic Theory (M&MKT 2008). Held in Porto Ercole, June 8–14, 2008. Riv.Mat.Univ.Parma (8) 1**(2009) ISBN:0035-6298.

R. Capitani, G. Frosali, A. Meneghin, and A. Baldussu, A mathematical model for dynamic simulation of motorcycle in the rectilinear motion, Preprint (2009).

G. Frosali and F. Ricci, A nonlinear mathematical model for a bicycle, Atti XIX Congresso AIMETA, Ancona, 14-17 settembre 2009, Versione su CD (2009) - 10 pagg.

C. Manzini and G. Frosali, Diffusive corrections to asymptotics of a strong-field quantum transport equation, Physica D: Nonlinear Phenomena 239, 1402-1415 (2010) DOI: 10.1016/ j.physd.2009.10.016 - http://dx.doi.org. /10.1016/j.physd. 2009.10.016, ISSN 0167-2789

G. Frosali, P.M. Mariano and G. Modica (Editors), Evolution Equations in Pure and Ap- plied Sciences, Physica D: Nonlinear Phenomena 239 (15) Pages 1379-1502 (2010) Elsevier, Dordrecht, ISBN:0167-2789

G. Frosali, P.M. Mariano, G. Modica, Editorial Evolution equations in pure and ap- plied sciences: Foreword, Physica D 239 (15) 1379-1380 (2010), ISBN:0167-2789, DOI 10.1016/j.physd.2010.06.003

L. Barletti and G. Frosali, Diffusive limit of the two-band k · p model for semiconductors, J. Stat. Phys. 139, 280-306 (2010), DOI 10.1007/s10955-010-9940-9

P. Mariano and G. Frosali, Aldo Belleni-Morante (1938-2009), Math. Models Methods Appl. Sci. 32, 1751-1752 (2009), ISSN:0170-4214 DOI 10.1002/mma.1230.

J.Banasiak and G. Frosali, Aldo Belleni-Morante (1938-2009), Obituary Math. Methods Appl. Sci. 33, 1181-1182 (2010), DOI 10.1002/mma.1332
G. Frosali Carlo Cercignani: In memoriam Il Nuovo Cimento 33 C (1), 1-2 (2010). DOI 10.1393/ncc/i2010-10588-x

S.Dulla, G.Frosali, R.Monaco, M.Pandolfi and P.Ravetto (Guest Editors), Papers presented at the XXI International Conference on Transport Theory, Politecnico di Torino, Torino, Italy, July 12-17,2009 Il Nuovo Cimento C 33 C (1), 1-264 (2010).Editor: L.Cifarelli. DOI 10.1393/ncc/i2010-10588-x

O. Morandi, L. Barletti, G. Frosali, Perturbation theory in terms of a generalized phase-space quantization procedure, Boll. Un. Mat. Ital. , - (2011) (in print)

R. Chiappinelli, M. Furi and M.P. Pera, Normalized Eigenvectors of a Perturbed Linear Operator via General Bifurcation, Glasgow Mathematical Journal 50 (2008), 303–318.

A. Calamai, M. Furi and A. Vignoli, A new spectrum for continuous nonlinear operators in Banach spaces, Nonlinear Functional Analysis and Applications 14 (2009), no. 2, 317-347.

R. Chiappinelli, M. Furi and M.P. Pera, Topological Persistence of the Normalized Ei- genvectors of a Perturbed Linear Operator, Applied Mathematics Letters 23 (2010), 193–197.

A. Calamai, M. Furi and A. Vignoli, An overview on spectral theory for nonlinear operators, Communications in Applied Analysis 13 (2009), no. 4, 509–534.

M. Furi, M. Spadini, Periodic perturbations with delay of autonomous differential equations on manifolds, Advanced Nonlinear Studies 9 (2009), no. 2, 263–276.

M. Furi, M. Martelli and O’Neill M., Global Stability and Equilibria, J. of Difference Equations and Applications 15 (2009), no. 4, 387–397.

M. Furi, A.S. Landsberg and M. Martelli, On the longitudinal librations of Hyperion, J. Fixed Point Theory Appl. 5 (2009), no. 2, 249–264.

M. Furi, M. P. Pera and M. Spadini, A set of axioms for the degree of tangent vector fields on differentiable manifolds, Fixed Point Theory Appl., Volume 2010, Article ID 845631, 11 pages, 2010 (doi:10.1155/2010/845631).

M. Furi, M. P. Pera and M. Spadini, Periodic solutions of retarded functional perturbations of autonomous differential equations on manifolds, inviato per la pubblicazione.

R. Chiappinelli, M. Furi and M.P. Pera, A new theme in nonlinear analysis: continua- tion and bifurcation of the unit eigenvectors of a perturbed linear operator, to appear in Communications in Applied Analysis.

M. Furi, M. Martelli and A. Vignoli, On the longitudinal librations of a satellite, in preparazione.

R. Chiappinelli, M. Furi and M.P. Pera, A bifurcation problem for a class ofperturbed self-adjoint operators, in preparazione.

M.Landucci, A.Spiro, On the localization principle for the automorphisms of pseudoellip- spoids, Proceedings of the American Mathematical Society, volume 137, Number 4, April 2009

M.Landucci, Proper holomorphic maps between weakly spherical domains, to appear in Advanced in geometry.

E. Minguzzi. Time functions as utilities. Commun. Math. Phys., 298 (2010) 855–868. [68] E. Minguzzi. On the global existence of time. Int. J. Mod. Phys. D, 18 (2009) 2135–2144. Third juried prize at the FQXi contest on the ‘Nature of Time’.

E. Minguzzi. Characterization of some causality conditions through the continuity of the Lorentzian distance. J. Geom. Phys., 59 (2009) 827–833.

E. Minguzzi. Chronological spacetimes without lightlike lines are stably causal. Commun. Math. Phys., 288 (2009) 801–819.

E. Minguzzi. In a distinguishing spacetime the horismos relation generates the causal relation. Class. Quantum Grav., 26 (2009) 165005.

E. Minguzzi. K-causality coincides with stable causality. Commun. Math. Phys., 290 (2009) 239–248.

E. Minguzzi and M. Rinaldelli. Widening the light cones on subsets of spacetime: some variations to stable causality. Class. Quantum Grav., 26 (2009) 175004.

E. Minguzzi. The causal ladder and the strength of K-causality. I. Class. Quantum Grav., 25 (2008) 015009.

E. Minguzzi. The causal ladder and the strength of K-causality. II. Class. Quantum Grav., 25 (2008) 015010.

E. Minguzzi. An equivalent form of Young’s inequality with upper bound. Appl. Anal. Discrete Math., 2 (2008) 213–216.

E. Minguzzi. Limit curve theorems in Lorentzian geometry. J. Math. Phys., 49 (2008) 092501.

E. Minguzzi. Non-imprisonment conditions on spacetime. J. Math. Phys., 49 (2008) 062503.

E. Minguzzi. Weak distinction and the optimal definition of causal continuity. Class. Quantum Grav., 25 (2008) 075015.

E. Minguzzi. A new synchronization method and its role in the problem of time, 2010. Contribution to the proceedings of the conference ’DICE10, Space-Time-Matter, current issues in quantum mechanics and beyond’, Castello Pasquini, Castiglioncello (Italy) September 13 - 17, 2010.

E. Minguzzi. Causality and entropic arguments pointing to a null Big Bang hypersurface, 2010. Contribution to the proceedings of the conference ’XXXIII Spanish Relativity Meeting, Gravity as a crossroad in physics’, Granada (Spain), September 6 - 10, 2010.

E. Minguzzi. Time functions as utilities, 2009. Contribution to the proceedings of the conference ‘New Developments in Lorentzian Geometry, Berlin, November 18 - 20, 2009.

E. Minguzzi. Chronological null complete spacetimes admit a global time. In K. Kunze, M. Mars, and M. V ́azquez-Mozo, editors, Physics and mathematics of gravitation, volu- me 1122 of AIP Conference Proceedings, pages 352–355 (AIP, New York, 2009). Spanish Relativity Meeting (ERE), Salamanca, 15 - 17 September 2008.

E. Minguzzi. From causality to time and back, 2009. Contribution to the proceedings of the conference ‘Spanish Relativity Meeting’ (ERE) , Bilbao, September 7 - 11, 2009.

E. Minguzzi. On the existence of time in non-singular spacetimes. Journal of Physics: Conference Series, 174 (2009) 012068. Fourth International Workshop DICE2008, Castello Pasquini, Castiglioncello (Italy), September 22 - 26, 2008.

E. Minguzzi and M. S ́anchez. The causal hierarchy of spacetimes, volume H. Baum, D. Alekseevsky (eds.), Recent developments in pseudo-Riemannian geometry of ESI Lect. Math. Phys., pages 299–358 (Eur. Math. Soc. Publ. House, Zurich, 2008). ArXiv:gr-qc/0609119.

M. Giaquinta, G. Modica and D. Mucci. The relaxed Dirichlet energy of manifold constrained mappings. Advances in Calculus of Variations (2008) 1–51.
P. M. Mariano, G. Modica. Ground States in Complex Bodies. ESAIM COCV, vol. 15, (2009) pp. 377-02.

M. Giaquinta, G. Modica. Mathematical Analysis, An Introduction to Functions of Several Variables, Birkh ̈auser, Boston, 2009.

M. Giaquinta, P. Mariano, G. Modica, D. Mucci, Stratified energies: ground states with cracks In: IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, Erlangen (Germany), 20-24 ottobre 2008, pp. 159-168.

G. Frosali, P. M. Mariano, G. Modica (2010). Evolution equations in pure and applied sciences: Foreword. Pysica D, Nonlinear Phenomena (2010), vol. 239, pp. 1379-1380.

M. Giaquinta, P. M. Mariano, G. Modica, and D. Mucci. Ground states of simple bodies that may undergo brittle fractures. Physica D- Nonlinear Phenomena, vol. 239, (2010) pp. 1485-1502.

M. Giaquinta, P. Mariano, G. Modica A variational problem in the mechanics of complex materials. Discrete and Continuous Dynamical Systems, vol. 28 (2010) pp. 519-537.

M. Giaquinta, P. Mariano, G. Modica, D. Mucci. Currents and curvature varifolds in con- tinuum mechanics. In: A. Arkhipova, A. Nazarov, Editors. Nonlinear Partial Differential Equations and Related Topics, AMS, Providence (RI, USA), (2010) pp. 97-117.

M. Modugno, R. Vitolo, C. Tejero Prieto, A covariant approach to the quantisation of a rigid body, J. Phys. A: Math. Theor. 41 (2008) 035304., arXiv:math-ph/0511020.

J. Janyska, M. Modugno: Generalized geometrical structures of odd dimensional manifolds, Jour. Math. Pures et Appl., 2008, 1–28, ArXiv:0801.1447.

J. Janyska, M. Modugno: Geometric structures of the classical general relativistic phase space, Int. Journ. on Mod. Meth. in Phys., v5, N5 2008., ArXiv:2008-01-10.

J. Janyska, M. Modugno, R. Vitolo: An algebraic approach to physical scales, Acta Applicandae Mathematicae, Vol. 110, N. 3, 2010, 1249–1276, DOI 10.1007/s10440-009-9505-6.

J. Janyska, M. Modugno, R. Vitolo: Semi–vector spaces and tensor products, report, 2008, 1–22.

J. Janyska, M. Modugno, D. Saller: Classification of inifinitesimal symmetries in covariant quantum mechanics, paper in preparation, 2010.

J. Janyska, M. Modugno: Special bracket versus Jacobi bracket on the classical general relativistic phase space, paper in preparation, 2010.

J. Janyska, M. Modugno: Covariant quantum mechanics, book in preparation, 2010.

A. Belleni-Morante, F. Mugelli - Identification of the boundary surface of an interstellar cloud from a measurement of the photon far-field - Math. Meth. Appl. Sci. 27 pp. 627-642 (2004)

I. Benedetti, F.Mugelli, P.Zecca, Existence results for set-valued variational inequalities via topological methods Accepted for publication on Topological Methods in Nonlinear Analysis Laura Poggiolini and Marco Spadini Sufficient optimality conditions for a bang-bang trajectory in a bolza problem In Mathematical control theory and finance, Sarychev, A; Shiryaev, A; Guerra, M; Grossinho, MdR. editors, Springer Verlag 2008

Laura Poggiolini and Gianna Stefani. Sufficient optimality conditions for a bang–singular extremal in the minimum time problem. Control and Cybernetics. 469 - 490, 37 no. 2, 2008.

U. Felgenhauer, L. Poggiolini, G. Stefani Optimality and stability result for bang–bang optimal controls with simple and double switch behaviour Control and Cybernetics. 1305 - 1325, 8 no. 4B,2009.

L. Poggiolini, M. Spadini, Bang–bang trajectories with a double switching time: sufficient strong local optimality. 2010. http://arxiv.org/abs/1010.1149. L. Poggiolini, G. Stefani Bang–singular–bang extremals: sufficient optimality conditions, accepted for publication on Journal of Dynamical and Control Systems.

L. Poggiolini, M. Spadini, Strong local optimality for a bang–bang trajectory in a Mayer problem, accepted for publication on Siam Journal on Control and Optimization. Lewicka M. - Spadini M. Branches of forced oscillations in degenerate systems of second order ODEs, Nonlinear Analysis, 68 (2008) 2623-2628.

Spadini M., A note on topological methods for a class of Differential-Algebraic Equations. Nonlinear Analysis TMA, 73 (2010), n. 4, 1065–1076

F.C. Chittaro - G.Stefani. Singular extremals in multi-input time-optimal problem: a sufficient condition Control and Cybernetics, vol.39 n.4, 2010.

G. Stefani. Strong optimality of singular trajectories In Geometric Control and Nonsmooth Analysys F.Ancona, A.Bressan, P.Cannarsa, F.H. Clarke and

P.R.Wolenski ed.s, In Series on Advances in Mathematics for Applied Sciences,Vol.76,2008, Worldscientific Publishing. L. Verdiani, W. Ziller Positively curved homogeneous metrics on spheres, Math. Zeit. 261 (2009),473-488

K. Grove, L. Verdiani, W. Ziller A new type of a positively curved manifold, 2008, submitted. L. Verdiani, W. Ziller New obstructions to positive curvature, 2010, preprint. B. To ̈en, G. Vezzosi, Homotopical Algebraic Geometry II: geometric stacks and applications, p. 1-228, Memoirs of the American Mathematical Society No. 193/902, 2008.

B. Toen, G. Vezzosi, A note on Chern character, loop spaces and derived algebraic geometry , The Abel Symposium - Algebraic Topology (Oslo), Abel Symposia vol. 4, Springer Verlag, 2009.

B. Toen, G. Vezzosi, Alg`ebres simpliciales S1- ́equivariantes, th ́eorie de de Rham et th ́eor`emes HKR multiplicatifs, pp. 1-22, accettato per la pubblicazione in Compositio Math.

B. Toen, G. Vezzosi,Infinies-categories monoidales rigides, traces et caracteres de Chern, pp. 1-85,(old version available as arXiv:0903.3292), inviato per la pubblicazione.

T. Schurg, B. Toen, G. Vezzosi. Reduced obstruction theory for stable maps to a K3-surface via derived algebraic geometry, Preprint Nov. 2010.

B. Toen, M. Vaquie, G. Vezzosi. Non-commutative motives, Dec. 2010, in ultimazione.