Publications
• N. Komarova, A. Soffer: Loaded Waves Model of RNAP-DNA Dynamics, in preparation, (30 pages). View the PDF file |
• A. Soffer, C. Stucchio: Reflections Propagation Algorith for the Schrödinger Equations, (2005), 70 pages. View the PDF file |
• A. Soffer, M. Weinstein: Theory of Multidimensional nonlinear Dispersive Waves: From Exact Results to Applications, submitted, (10 pages). View the PDF file |
• P. Blue, A. Soffer: Decay estimates and phase space analysis on some black hole metrics, preprint 2004 (70 pages). View the PDF file |
• V. Fleurov, A. Soffer: Nonlinear effects in tunneling escape in N-body quantum systems (10 pages), revised version to appear in Europhysics Letters. View the PDF file |
• Y. Strauss, A. Soffer, I.M. Sigal: From Gamow states to Resonaces for Schrödinger equations, preprint, (2005), (22 pages). View the PDF file |
• N. Komarova, A. Soffer: Nonlinear waves in double-stranded DNA, Bull. Math. Biology. 67, No. 4(2005), 701--718. View the PDF file |
• P. Blue, A. Soffer: The wave equation on the Schwarzschild metric II: Local decay for the spin 2 Regg Wheeler equation. J. Math. Phys. 46 (2005), View the PDF file |
• H. Lindblad, A. Soffer: Long range nonlinear scattering of the Schrödinger equation, submitted (9 pages). View the PDF file |
• H. Lindblad, A. Soffer: Asymptotic Completeness for the critical Klein-Gordon equation, revised version to appear in Lett. Math. Phys. View the PDF file |
• H. Lindblad A. Soffer: A remark on long range scattering for the nonlinear Klein-Gordon equation, J. Hyperbolic Diff. Eqs., 2, No. 1 (2005), 77--89. View the PDF file |
• I. Rodnianski, W. Schlag, A. Soffer: Asymptotic stability of N-solitons, submitted (2003), (75+ pages). View the PDF file |
• I. Rodnianski, W. Schlag, A. Soffer: Dispersive analysis of charge transfer models, Communications on Pure and Applied Mathematics 58, Issue 2 (2005), 149--216. View the PDF file |
• E. Carlen, A. Soffer; Entropy production bounds in the central limit theorem, to be submitted, (2003), (20 pages). View the PDF file |
• A. Soffer, M. Weinstein; Selection of the ground state in the nonlinear Schrödinger equation, (2001), (110 pages), Rev. Math. Phys. 16 No. 8 (2004), 977--1071. View the PDF file |
• P. Blue, A. Soffer: Semilinear wave equations on the Schwarzschild manifol I: local decay. Advances in Dif. Eqs. 8, No 5 (2003), 595--614. View the PDF file |
• A. Soffer, W.M. Wang: Anderson Localization for time periodic Random Schrodinger Operators. Comm. Partial Differential Equations 24, Nos 1,2 (2003), 333--347. View the PDF file |
• F. Nier, A. Soffer: Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace Operator. J. Funct. Anal. 198 (2003), 511--535 View the PDF file |
•I.M Sigal, A. Soffer, L. Zielinski: On the spectral properties of Hamiltonians without conservation of the particle number. J. Math. Phys. (2002), View the PDF file |
• A. Soffer: The Enss Method, Encyclopedia of Mathematics, supp III 224 (2001), 133--152 View the PDF file |
• O. Costin, A. Soffer: Resonance theory for Schrödinger Operators. Comm. Math. Phys. 224 (2001), 133--152 View the PDF file |
• A. Soffer: "Dissipation Through Dispersion", in CRM Lecture Notes, Nonlinear Dynamics and Renornmalization Group, I.M. Sigal, C. Sulem (eds.). Vol. 27, (2001) View the PDF file |
• Miller, P. D.; Soffer, A.Weinstein, M. I. Metastability of breather modes of time-dependent potentials. Nonlinearity 13 (2000), no 3, 507--568, 35B40 (37K40 78A50 81Q05) View the PDF file |
• Hunziker, W.; Sigal, I. M.; Soffer, A. Minimal escape velocities. Comm. Partial Differential Equations 24 (1999), 2279--2295, 47N50 47A40 47B15 81Q10 81U10) View the PDF file |
• Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy. Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Comm. Math. Phys. 207 (1999), 81Q10 (47N50 81V45 81V55) View the PDF file |
• Laba, I.; Soffer, A. Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. Helv. Phys. Acta 72 (1999), 274--294, 58J50 (35Q75 81Q05) View the PDF file |
• Soffer, A.; Weinstein, M. I. Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Invent. Math. 136 (1999), no. 1, 9--74, 37K55 (35L70 35Q40 37J40 81V80) View the PDF file |
• Soffer, A.; Weinstein, M. I. Ionization and scattering for short-lived potentials. Lett. Math. Phys. 48 (1999), 339--352, 81U10 (47N50) View the PDF file |
• Soffer, A.; Weinstein, M. I. Time dependent resonance theory. Geom. Funct. Anal. 8 (1998), no.6, 1086--1128, 81U05 (47A55 47N50 81Q10) View the PDF file |
• Soffer, A.; Weinstein, M. I. Nonautonomous Hamiltonians. J. Statist. Phys. 93 (1998), no.1-2 , 359--391, 81Q15 View the PDF file |
• Soffer, A. Time dependent resonance theory in quantum mechanics. Differential equations, asymptotic analysis, and mathematical physics (Potsdam, 1996), 384--391, Math. Res., 100, Akademie Verlag, Berlin, 1997. 81U05 (47N50) View the PDF file |
• Soffer, Avraham; Weinstein, Michael I. Time dependent resonance theory and perturbations of embedded eigenvalues. Partial differential equations and their applications (Toronto, ON, 1995), 277--282, CRM Proc. Lecture Notes, 12, Amer. Math. Soc., Providence, RI, 1997, 81Q10 (47A55 47F05 47N50) View the PDF file |
• Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer,Avy; N-body Hamiltonians with hard-core interactions. Rev. Math. Phys. 6 (1994), 515--596, 81U10 (35Q40 47A40 47F05 47N50) View the PDF file |
• Sigal, I. M.; Soffer, A. Asymptotic completeness of N-particle long-range scattering. J. Amer. Math. Soc. 7 (1994), 307--334, 81U10 (47A40 47N50) View the PDF file |
• Sigal, I. M.; Soffer, A. Asymptotic completeness for N 4 particle systems with the Coulomb-type interactions. Duke Math. J. 71 (1993), no. 1, 243--298, 81U10 (35P25 47A40 47F05 47N50) View the PDF file |
• Ginibre, J.; Soffer, A.; Velo, G. The global Cauchy problem for the critical nonlinear wave equation. J. Funct. Anal. 110 (1992), no. 1, 96--130, 35L70 View the PDF file |
• Soffer, Avy On the many-body problem in quantum mechanics. Méthodes semi-classiques, Vol. 1 (Nantes, 1991). Astérisque No. 207 (1992), 6, 109--152, 81U10 (47F05 47N50) View the PDF file |
• Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. II. The case of anisotropic potentials and data. J. Differential Equations 98 (1992), 35Q55 (35P25 47F05 47N20) View the PDF file |
• Journé, J.-L.; Soffer, A.; Sogge, C. D. Decay estimates for Schrödinger operators. Comm. Pure Appl. Math. 44 (1991), 573--604, 35J10 (35B45 35P05) View the PDF file |
• Carlen, E. A.; Soffer, A. Entropy production by block variable summation and central limit theorems. Comm. Math. Phys. 140 (1991), 60F05 (82B05 82B28) View the PDF file |
• Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. Comm. Math. Phys. 133 (1990), 35Q55 (35P25 81U99) View the PDF file |
• Journé, J.-L.; Soffer, A.; Sogge, C. D. Lp --> Lp' .Estimates for time-dependent Schrödinger operators. Bull. Amer. Math. Soc. (N.S.) 23 (1990), 519--524, 35J10 (35P05 35P25 81U05) View the PDF file |
• Sigal, I. M.; Soffer, A. Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Invent. Math. 99 (1990), no. 1, 115--143, 81U10 (35J10 35P25 47F05) View the PDF file |
• Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering theory for nonintegrable equations. Integrable systems and applications (Île d'Oléron, 1988), 312--327, Lecture Notes in Phys., 342, Springer, Berlin, 1989. 35Q20 (35P25 58D25) View the PDF file |
• Sigal, I. M.; Soffer, A. Asymptotic completeness of multiparticle scattering. Differential equations and mathematical physics (Birmingham, Ala., 1986), 435--472, Lecture Notes in Math., 1285, Springer, Berlin, 1987, 81F10 (35P25 47A40 81-02) View the PDF file |
• Sigal, I. M.; Soffer, A. Asymptotic completeness for N-body quantum mechanics. VIIIth international congress on mathematical physics (Marseille, 1986), 292--304, World Sci. Publishing, Singapore, 1987, 81F10 View the PDF file |
• Sigal, I. M.; Soffer, A. The N-particle scattering problem: asymptotic completeness for short-range systems. Ann. of Math. (2) 126 (1987), 35--108, 81F10 (35P25 47A40) View the PDF file |
• M. Schwartz and A. Soffer: Critical Correlation, Susceptibility Relations In Random Field Systems, Phys. Rev., B15, Rapid Comm. 33, No 3-4, 1986, 2059-2061.
View the PDF file |
• Sigal, I. M.; Soffer, A. Asymptotic completeness of short-range many-body systems. Bull. Amer. Math. Soc. (N.S.) 14 (1986), 107--110, 81F10 (35P25) View the PDF file |
• M. Schwartz and Soffer, A: An Exact Inequality for Random Systems Applications to Random Field, Phys. Rev. Lett., 55, (1985) , 2499. View the PDF file |
• Soffer, A. Long range Scattering in Non-Abelian Gauge Theory, Phys. Rev., D15, Rapid Comm. 29, 1984, 8. View the PDF file |
• Soffer, A. Completeness of wave operators in relativistic quantum mechanics. Lett. Math. Phys. 8 (1984), no.6, 517--527, 81F05 (35P25 81C12) View the PDF file |
• Soffer, A.; Horwitz, L. P. B*-algebra representations in a quaternionic Hilbert module. J. Math. Phys. 24 (1983), no. 12, 2780--2782, 46K05 (46H25) View the PDF file |
• Soffer, A. A perturbation theory for long-range interactions of the Coulomb type. Lett. Math. Phys. 7 (1983), no. 2, 163--169. 81F15 View the PDF file |
• Horwitz, L. P.; Soffer, A. On the existence of the wave operator in relativistic quantum scattering theory. Helv. Phys. Acta 53 (1980), no. 1, 112--118, 81F20 View the PDF file |
• L.P. Horwitz, Y. Lavie and A. Soffer: Scattering Theory in Relativistic Quantum Mechanics, Proceeding of the VII Int. Colloq. on Group Theoretical Methods in Physics, 3, Annals of the Israel Phys. Soc., 1980, 231-235. View the PDF file |