Mathematical Physics Research Group
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Recent Publications 2002 2001 2000 1999 1998 1997 |
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L. Bussolari, P. Contucci, M. Degli Esposti, C. Giardinà: "Energy-Decreasing Dynamics in Mean-Field Spin Models" Preprint, October (2002) cond-mat/0210545 M.Degli Esposti, C.Giardinà, S.Graffi: "Energy Landscape Statistics of the Random Orthogonal Model" submitted to "Random Matrices" special issue of J.Phys A. (2002), cond-mat/0207681 P.Contucci, M.Degli Esposti, C.Giardinà, S.Graffi: "Thermodynamical Limit for Correlated Gaussian Random Energy Models" Preprint, June (2002) P.Contucci: "Toward a classification theorem for stochastically stable measures", Preprint, May (2002) P.Contucci, B.Nachtergaele, W.Spitzer: " The Ferromagnetic Heisenberg XXZ chain in a pinning field" Phys. Rev. B, 66, 64429-64442, (2002) S.Graffi, A.Martinez, M.Pulvirenti: "Mean-field approximation of quantum systems and classical limit", Preprint (2002). L.Bongini, M.Degli Esposti, C.Giardinà, A.Schianchi: "Multiple optimal solutions in the portfolio selection model with short-selling", submitted to International Journal of Theoretical and Applied Finance (2002) L.Bongini, M.Degli Esposti, C.Giardinà, A.Schianchi: "Portfolio optimization with short-selling and spin-glass", submitted to European Journal of Physics B (2002) P.Contucci, S.Graffi, S.Isola: " Mean field behaviour of spin systems with orthogonal interaction matrix" Journal of Statistical Physics, Vol. 106, N. 5/6, 895-914 (2002) V.Grecchi, A.Martinez, A.Sacchetti: "Destruction of the beating effect for a nonlinear Schrodinger equation", to appear in Comm. Math. Phys. (2002). A.Martinez: "An Introduction to Semiclassical and Microlocal Analysis", Springer-Verlag New-York, UTX Series, ISBN: 0-387-95344-2 (2002) A.Martinez, S.Nakamura, V.Sordoni: "Phase Space Tunneling in Multispace Scattering", to appear in J.Funct.Analysis (2002) A.Martinez, V.Sordoni: "A General Reduction Scheme for the Time-Dependent Born-Oppenheimer Approximation", to appear in C.R.A.S. (2002) |
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| - 2001 - |
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D.Bambusi, S.Graffi: "Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods" Commun.Math.Phys. 219 n.2, 465-480 (2001) M.Degli Esposti: "Egorov Theorem and equidistribution of eigenfunctions for the triangle map", preprint (2001) M.Degli Esposti, C.Giardinà, S.Graffi: "Mean Field Equation for Random Orthogonal Model", preprint 2001, to be submitted to Journal of Physics A M.Degli Esposti, C.Giardinà, S.Graffi, S.Isola: "Statistics of energy levels and zero temperature dynamics for determinstic spin models with glassy behaviour" J.Stat.Phys. 102, 1285-1313 (2001). F.Franchi: "A comparison of the Graffi and Kazhikhov-Smagulov models for top heavy pollution instability", to appear in Advances in Water Resources (2001). C.Giardinà, M.J.Kosterlitz: "Chiral and spin order of the random XY model on a tube lattice", submitted to Phis. Rev. B (2001). C.Giardinà, J.M.Kosterlitz, N.V.Priezjev: "Strongly Screened Vortex Glass Model in the Limit of Weak Disorder", submitted to Phys. Rev. Lett. (2001) V.Grecchi, A.Sacchetti: "Critical Metastability and Destruction of the Splitting in Non-Autonomous Systems", J.Stat.Phys. 103, 339 (2001) V.Grecchi, A.Sacchetti: "Acceleration theorem for Bloch oscillators", Physical Review B, 2303 (2001). B.Helffer, A.Martinez: "Phase Transition in the Semiclassical Regime", Rev.Math.Phys. 12, 1429-1450 (2001) A.Lahmar-Benbernou, A.Martinez: "On Helffer-Sjoestrand's theory of Resonances", Int. Math. Res. Notices, 13, 1-21 (2001) A.Martinez: "Resonance Free Domains for Non-Analytic Potentials", preprint Bologna (2001) A.Martinez, K.Yajima: "On the Fondamental Solution of Semiclassical Schrödinger Equations at Resonant Times", Comm.Math.Phys. 216, 357-373 (2001). V.Sordoni: "Born-Oppenheimer Approximation for the Brown-Ravenhall Equation", to appear in Reviews in Math.Phys. (2001) |
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| - 2000 - |
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O.Bolina, P.Contucci, B.Nachtergaele and S.Starr, "A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model", Electron.J.Diff.Eqns., N. 04, 1-10, (2000) O.Bolina, P.Contucci, B.Nachtergaele and S.Starr, "Finite-volume excitations of the 111 interface in the quantum XXZ model", Commun. Math. Phys. 212, 63-91 (2000). O.Bolina, P.Contucci, B.Nachtergaele: "Path Integral Representation for Interface States of the Anisotropic Heisenberg Model", Rev.Math.Phys. 12, 1325-1344 (2000). L.Bunimovich, M.Degli Esposti: "Random Coupled Map Lattices: the expanding case", to appear (2000).
E.Caliceti: "Distributional Borel Summability of Odd Anharmonic Oscillators", J.Phys.A: Math.Gen. 33, 1-18 (2000). M.Degli Esposti: "Quantum Maps: why and why not", ICMP2000 Proceedings (2000). M.Degli Esposti, G.Del Magno, M.Lenci: "Escape orbits and ergodicity in infinite step billiards", Nonlinearity 13, 1275-1292 (2000). C.Giardinà: "Discrete spin variables and critical temperature in deterministic model with glassy behaviour", Phys.Rev. E 61, 3375 (2000) C.Giardinà, R.Livi, A.Politi, M.Vassalli: "Finite thermal conductivity in 1D lattices", Phys. Rev. Lett. 84, 2144 (2000) S.Graffi, K.Yajima: "Absolute Continuity of the Floquet Spectrum for a Nonlinearly Forced Harmonic Oscillator", Commun.Math.Phys. 215, 245-250 (2000). V.Grecchi, A.Sacchetti: "Molecular localization induced by collisions", Physical Review A 61, 052106(1-4), (2000). |
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| - 1999 - |
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D.Bambusi, S.Graffi, T.Paul: "Normal forms and quantization formulae", Commun.Math.Phys., 207, 173-195 (1999). D.Bambusi, S.Graffi, T.Paul: "Long time semiclassical approximation of quantum flows: a proof of the Eherenfest time", Asymptotic Analysis, 21, 149-160 (1999). M.Benchaou, A.Martinez: "Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödin- ger matriciels", Ann.Inst.H.Poincaré, 71, 561-594 (1999) P.Contucci, P.Kleban, A.Knauf: "A Fully Magnetizing Phase Transition", Journal of Statistical Physics 97, 523-539 (1999). A.Lahmar-Benbernou, A.Martinez: "Semiclassical Asymptotics of the Residues of the Scattering Matrix for Shape Resonances", Asymptotic Analysis 20, 13-38 (1999) A.Martinez, V.Sordoni: "Microlocal WKB expansions", J.Funct.Analysis 168, 380-402 (1999) |
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| - 1998 - |
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M.Aizenman, P.Contucci: "On the Stability of the Quenched state in Mean Field Spin Glass Models", Journal of Statistical Physics, 92, n.5/6 (1998) V.Baladi, M.Degli Esposti, S.Isola, E.Järvenpää, A.Kupianen: "The spectrum of weakly coupled maps", Journal de Mathématiques Pures et Appliquées 77, 539-584 (1998). I.Borsari, F.Camia, S.Graffi, M.Unguendoli: "Absence of glassy behaviour in the deterministic spherical and XY models", J.Phys. A: Math.Gen., 31, 1127-1139 (1998). S.De Bievre, M.Degli Esposti: "Egorov theorems and equidistribution of eigenfunctions for the quantized sawtooth and Baker maps", Annales de l'Institut H.Poincaré, Phys.Theor., 69, 1-30 (1998). M.Degli Esposti, G.Del Magno, M.Lenci: "An Infinite Step Billiard", Nonlinearity, 11, 991-1013 (1998). M.Degli Esposti, S.Isola: "Transfer operators for infinite dimensional dynamical systems", Journal de Physique IV, 8, 227-231 (1998). C.Giardinà, R.Livi: "Ergodic properties of microcanonical observables", J.Stat.Phys. 91, 1027 (1998) V.Grecchi, A.Sacchetti: "Wannier-Bloch Oscillators", Comm.Math.Phys., 197, 553-569 (1998). N.Ripamonti: "Classical Limit of the Matrix Elements on Quantized Lobachevskii Plane", Mathematical Physics Electronic Journal, 4, n.3, 19pp (1998). |
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| - 1997 - |
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I.Borsari, M.Degli Esposti, S.Graffi, M.Unguendoli: "Deterministic spin models with mean field glassy behaviour", J.Phys.A, 30, L155-L159 (1997) E.Caliceti, V.Grecchi, M.Maioli: "Perturbation Theory, Borel Summability and Asymptotics", St.Petersburg Math.J., 8, 111-122 (1997), R.Conti, P.Contucci, C.Falcolini: "Polynomial Invariants for Trees. A statistical Mechanics Classification Figures", Discrete Applied Mathematics, N. 81, 225-237, (1997). P.Contucci, A.Knauf: "The Phase Transition of the Number-Theoretical Spin Chain", Forum Math. N. 9, 547-567, (1997). J.P.Gazeau, S.Graffi: "Quantum Harmonic Oscillator: a Relativistic and Statistical Point of View", Boll.U.M.I., Ser.VII , XI-A, 815-839 (1997) V.Grecchi, A.Sacchetti: "Lifetime of the Wannier-Stark resonances and perturbation theory", Commun.Math.Phys., 185, 359-378 (1997) V.Grecchi, A.Sacchetti: "Metastable Bloch oscillators", Phys.Rev.Lett., 78, 4474-4477 (1997) M.Klein, A.Martinez, X.P.Wang: "On the Born-Oppenheimer approximation of wave operators II : singular potentials", Journal of Mathematical Physics Vol. 38, n.3, 1373-1396 (1997) A.Martinez: "Microlocal Exponential Estimates and Applications to Tunneling", NATO ASI Series C, Vol. 490 (L. Rodino, Ed.), Klumer Acad. Publ. (1997) |
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