All publications

  1. L.P. Horwitz and A. Soffer, On the Existence of the Wave Operators in Relativistic Quantum Scattering Theory, Helv. Phys. Acta, 53, 1980.
  2. 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.
  3. L.P. Horwitz and A. Soffer, B∗-Algebra Representation in Quaternionic Hilbert Modules, J. Math. Phys., 24, 1983, 12.
  4. A. Soffer, A perturbation Theory for Long-Range Interactions of the Coulomb Type, Lett. Math. Phys., 7, 1983, 163-169.
  5. A. Soffer, Completeness of Wave Operators in Relativistic Quantum Mechanics, Lett. Math. Phys., 8, 1984.
  6. A. Soffer, Long Range Scattering in Non-Abelian Gauge Theory, Phys. Rev., D15, Rapid Comm. 29, 1984, 8.
  7. M. Schwartz and A. Soffer, An Exact Inequality for Random Systems Applications to Random Field, Phys. Rev. Lett., 55, 1985, 2499.
  8. I.M. Sigal and A. Soffer, Asymptotic Completeness for Short Range Many Body Systems, Bull. AMS, 14, January 1986, 1.
  9. I.M. Sigal and A. Soffer, Asymptotic Completeness for N-body Quantum Mechanics, IAMP Mathematical Physics Conference, Marseille, 1986, (10 pages).
  10. I.M. Sigal and A. Soffer, N particle Scattering Problem-Asymptotic Completeness for Short Range Systems, ed. Knowles Int. Conf. on Differential Equations and Math. Phys., Birmingham, Alabama, 1986, (35 pages).
  11. 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.
  12. I.M. Sigal and A. Soffer, The N-particle Scattering Problem-Asymptotic Completeness for Short Range Systems, Annals of Math., 126, 1987, 35-108.
  13. I.M. Sigal and A. Soffer, Local Decay and Propagation Estimates for Time Dependent and Time Independent Hamiltonians, (50 pages), preprint, Princeton 1988,
  14. I.M. Sigal and A. Soffer, Asymptotic Completeness for Long Range 3-body Systems, (40 pages), preprint, Caltech 1987, (
  15. I.M. Sigal and A. Soffer, Long Range Many Body Scattering Asymptotic Clustering for Coulomb Type Potentials, Inventiones Mathematics, 99, 1990, 115-143.
  16. A. Soffer and M. Weinstein, Multichannel Nonlinear Scattering Theory for Nonintegrable Equations, Comm. Math. Phys., 133, 1990, 119-146.
  17. A. Soffer and M. Weinstein, Multichannel Nonlinear Scattering Theory for Nonintegrable equations, Proceeding of the Oléron Conference on Integrable Systems, 1988, Springer Lecture Notes in Physics, No. 342, 312-327.
  18. J.L. Journé, A. Soffer and C.S. Sogge, CHANGENEEDED Estimates for time dependent Schrödinger Equations, Bull., AMS, 23, No. 2, 1990.
  19. J.L. Journé, A. Soffer and C. Sogge, Decay Estimates for Schrödinger Operators, Comm. Pure Appl. Math. XLIV No. 5, 1991, 573-604.
  20. E. Carlen and A. Soffer, Entropy Production by Block Spin Summation and Central Limit Theorems, Comm. Math. Phys. 140, No. 2, 1991, 339-371.
  21. A. Soffer and M. Weinstein, Multichannel Nonlinear Scattering Theory for Nonintegrable Equations II, the Case of Anisotropic Potentials and Data, Journal of Differential Equations, 98 No. 2, 1992, 376-390.
  22. A. Soffer, On the Many Body Problems in Quantum Mechanics, Méthodes Semiclassiques, Astérisque, 207, 1, 1992, 109-152.
  23. J. Ginibre, A. Soffer and G. Velo, The Global Cauchy Problem for the Critical Nonlinear Wave Equation, Journal of Functional Analysis, 110, No. 1, 1992, 96-130.
  24. I.M. Sigal and A. Soffer, Asymptotic Completeness for N 4 Particles Systems with Coulomb-type Interactions, Duke Math. J. 71, No. 1, 1993, 243-298.
  25. I.M. Sigal and A. Soffer, Asymptotic Completeness of N Particle Long Range Scattering, J. Am. Math. Soc., 7, No. 2, 1994, 307-334.
  26. A. Boutet de Monvel, V. Georgescu and A. Soffer, N-body Hamiltonians with hard core interactions, Rev. in Math. Physics, 6, No. 4, 1994, 515-596.
  27. A. Soffer, M. Weinstein, Time Dependent resonance theory and perturbations of embedded eigenvalues (P. Greiner, V. Ivrii, L. Seco and C. Sulem, eds), CRM Lecture Notes, Toronto (1995), 277-282.
  28. A. Soffer, Time dependent resonance theory in Quantum Mechanics, PDE Conference Proc., Potsdam (1996), Akademic-Verlag, 384-391.
  29. A. Soffer, M. Weinstein, Time Dependent resonance theory, Geometric and Functional Analysis, (GAFA) 8, 1998, 1086-1128.
  30. A. Soffer, M. Weinstein, Nonautonomous Hamiltonians, J. Stat. Phys., 93, 1998, 359-391.
  31. A. Soffer, M. Weinstein, Resonances, Radiation Damping and Instability in Hamiltonian nonlinear wave equations, Inventiones mathematicae, 136, 1999, 9-74.
  32. V. Bach, J. Fröhlich, I. M. Sigal, A. Soffer, Positive Commutators and Spectrum of Pauli-Fierz Hamiltonians of Atoms and Molecules, Comm. Math. Phys., 207, 1999, 557-587.
  33. W. Hunziker, I. M. Sigal, A. Soffer, Minimal Velocity Bounds, Comm. PDE, 24, (1999), No. 11/12, 2279-2295.
  34. A. Soffer, M. Weinstein, Ionization and scattering for short lived potentials, Lett. Math. Phys., 1999, 48, No.4, 339-352.
  35. I. Laba, A. Soffer, Global Existence and Scattering theory for the Nonlinear Schrödinger equation on Schwarzschild manifold, Helv. Phys. Acta, 72, (1999), 274-294.
  36. P. Miller, A. Soffer, M. Weinstein, Methastability of Breather modes of Time Dependent Potentials, Nonlinearity, 13, (2000), 507-568.
  37. O. Costin, A. Soffer, Resonance theory for Schrödinger Operators, Comm. Math. Phys., 224, (2001), 133-152.
  38. A. Soffer, The Enss Method, Encyclopedia of Mathematics, supp III (2001), 140-141.
  39. A. Soffer, Dissipation Through Dispersion, CRM Lecture Notes, (C. Sulem, I. Sigal, eds.), (2001).
  40. I.M. Sigal, A. Soffer, L. Zielinski, On the spectral properties of Hamiltonians without conservation of the particle number, J. Math. Phys. 43 (2002) No. 4, 1844-1855.
  41. F. Nier, A. Soffer, Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace Operator, J. Funct. Analysis, 198, (2003), 511-535.
  42. A. Soffer, W.M. Wang Anderson Localization for time periodic Random Schrödinger Operators”, Com. PDE, 28, Nos. 1,2, (2003), 333-347.
  43. P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschild manifold I:local decay, Advances in Dif. Eqs., 8, No. 5 (2003), 595-614.
  44. A. Soffer, M. Weinstein, Selection of the ground state in the nonlinear Schrödinger equation, Rev. Math. Phys., 16, No.8 (2004), 977-1071.
  45. E. Carlen, A. Soffer, Propagation of Localization optimal entropy production and convergence rates for the centarl Limit Theorem submitted (2011), (22 pages).
  46. I. Rodnianski, W. Schlag, A. Soffer, Dispersive analysis of charge transfer models, Communications on Pure and Applied Mathematics 58, Issue 2 (2005), 149-216.
  47. I. Rodnianski, W. Schlag, A. Soffer, Asymptotic stability of N-solitons, submitted, (2003), (75+ pages).
  48. 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.
  49. H. Lindblad, A. Soffer, Asymptotic Completeness for the critical Klein-Gordon Equation, Lett. Math. Phys., Vol.3 (2005)249-258.
  50. H. Lindblad, A. Soffer, Scattering and small data completeness for the critical nonlinear Schrödinger equation,Nonlinearity 19 (2006) 345-353
  51. P. Blue, A. Soffer, The wave equation on the Schwarzscild metric II: Local decay for the spin 2 Regge Wheeler equation, J. Math. Phys., 46 (2005), 012502.
  52. N. Komarova, A. Soffer, Nonlinear waves in double-stranded DNA, Bull. Math. Biology, 67, No.4 (2005), 701-718.
  53. Y. Strauss, A. Soffer, I.M. Sigal, From Gammow states to Resonances for Schrödinger equations, preprint, (2005), (22 pages).
  54. V. Fleurov, A. Soffer, Nonlinear effects in tunneling escape in N-body quantum systems, Europhysics Letters, 72, No.2 (2005), 287-293.
  55. P. Blue, A. Soffer, Phase space analysis on some black hole manifolds J. Func. Analysis,256 (2009) No. 1, 1-90.
  56. A. Soffer, M. Weinstein, Theory of Multidimensional Nonlinear Dispersive Waves: From Exact Results to Applications, Phys. Rev. Lett. 95 213905(2005).
  57. A. Soffer, C. Stucchio, Reflectionless Propagation Algorithm for the Schrödinger Equation, (2006),   100+ pages.
  58. N. Komarova, A. Soffer, Loaded Waves Model of RNAP-DNA Dynamics, in preparation, (30 pages).
  59. C. Siegel, A. Soffer, C. Stucchio, Polynomial time bounds of Errors in Dirichlet to Neumann Schemes, preprint (2008), posted, to be submitted.
  60. A. Soffer, C. Stucchio, Open Boundaries for the Nonlinear Schrödinger Equation, J. Comp. Physics, 225, No.2 (2007) 1218-1262.
  61. G. Dekel, V. Fleurov, A. Soffer, C. Stucchio, Temporal dynamics of tunneling. Hydrodynamic approach, Physical Rev. A. 75 043617(2007).
  62. W. Schlag, A. Soffer, W. Staubach, Decay estimates for the Schrödinger Evolution on asymptotically conic surfaces of revolution I, Trans. Amer. Math Soc. 362 (2010) No.1, 289-318
  63. A. Soffer, Soliton Dynamics and Scattering, International Congress of Mathematicians Vol III,(2006).459-471
  64. P. Blue, A. Soffer, Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole, Preprint (40 pages) (2007), submitted.
  65. A. Soffer, C. Stucchio, Multiscale Resolution of Shortwave-Longwave Interaction, Comm. Pure Appl. Math Vol. LXII 0082-0124 (2009)
  66. P. Blue, A. Soffer, A space-time integral estimate for large data semi-linear wave equations on Schwarzchild manifold, Letters in Math. Phys.81, No3(2007)227-238.
  67. S. Fishman, Y. Krivolapov, A. Soffer, On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential, J. Stat. Phys. 131 (2008), no. 5, 843–865.
  68. W. Schlag, A. Soffer, W. Staubach, Decay for the wave and Schroedinger equations on manifolds with conical ends, part II, Trans. Amer. Math. Soc. 362 (2010), No. 1, 19-52
  69. A. Soffer, C. Stucchio, Stable Open boundaries for Anisotropic waves, preprint (2008).
  70. A.Barak, O. Peleg, C. Stucchio, A.Soffer, M. Segev Observation of Soliton Tunneling Phenomena and Soliton Ejection, Phys. Rev. Lett. 100, 153901 (2008).
  71. A.Barak, O. Peleg, A. Soffer, M. Segev, Multi-Soliton Ejection from an Amplifying Potential Trap, Optics Letters, Vol. 33, Issue 16, 1798-1800 (2008)
  72. G. Dekel, O.V. Farberovich, A.Soffer, V. Fleurov, Nonlinear Dynamic Phenomena in Macroscopic Tunneling, Physica D: Nonlinear Phenomena (2009) 238, 1475-1481
  73. A. Soffer Geometric Characterization of Solitons, Comm. Partial Differential Equations 33 (2008), no. 10-12, 1953–1974
  74. J. Froehlich, I. M. Sigal, A. Soffer, C. Stucchio Dynamics of Quantum Friction, Preprint (2008)
  75. Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer, A numerical and symbolical approximation of the Nonlinear Anderson Model, , (2010) New J. Phys. 12, 063035
  76. Roland Donninger, Wilhelm Schlag, Avy Soffer, On pointwise decay of linear waves on a Schwarzschild black hole background Comm. Math. Phys. 309 (2012) No. 1, 51-86.
  77. G. Dekel, V. Farberovich, V. Fleurov, A. Soffer, Dynamics of Macroscopic Tunneling in Elongated BEC, Phys. Rev. A 81, 063638 (2010)
  78. Roland Donninger, Wilhelm Schlag, Avy Soffer, A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta, Advances in Mathematics Volume 226, Issue 1, 15 January 2011, Pages 484-540
  79. Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer, Perturbation theory for the Nonlinear Schrödinger Equation with a random potential, Nonlinearity 22 (2009), no. 12, 2861-2887.
  80. A. Soffer, The maximal velocity of a Photon Preprint (2010), (22 pages), submitted.
  81. W. Schlag, A. Soffer On Pointwise Decay of Nonlinear waves, Preprint (2010), (33 pages)
  82. Marius Beceanu, Avy Soffer The Schrödinger Equation with Potential in Rough Motion Comm. Partial Differential Equations 37 (2012), no. 6, 9691000
  83. Alexander Rivkind, Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model, Journal of Physics A44- mathematical and general, (2011) No.30, 305206.
  84. Juerg Froehlich, Zhou Gang, Avy Soffer Some Hamiltonian Models of Friction J. Math. Phys. 52 (2011) No.8, 083508.
  85. E. Cohen, S. Muenzel, J. Fleischer, V. Fleurov, A. Soffer Jet-like tunneling from a trapped vortex Physical Review A 88.4 (2013): 043833.
  86. S.Fishman, Y. Krivolapov, A. Soffer The Nonlinear Schrödinger Equation with a random potential: Results and Puzzles, Nonlinearity 25 (2012), no. 4,pages R53-R72 .(Solicited)
  87. Marius Beceanu, Avy Soffer The Schrödinger Equation with Potential in Random Motion (2011), submitted.
  88. Avy Soffer, Monotonic Local Decay Estimates, (2011), Submitted. (44 pages)
  89. Juerg Froehlich, Zhou Gang, Avy Soffer Friction in a model of Hamiltonian Dynamics Comm. Math. Phys. 315, 401444 (2012).
  90. S. Fishman, A. Soffer Multiscale Time Averaging, reloaded (2012), SIAM Journal of Math Analysis, 46(2), 13851405 (2014).
  91. V Fleurov, A Soffer Soliton in a Well. Dynamics and Tunneling – arXiv preprint arXiv:1305.4279, 2013
  92. H Lindblad, A Soffer Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities Trans. AMS, to appear. arXiv preprint arXiv:1307.5882
  93. G Fleishon, S Fishman, A Soffer High order perturbation theory for nonlinear Anderson model, Eur Phys. J B 87(2),1-6 (2014).
  94. A Soffer, X Zhao On multichannel solutions of nonlinear Schrö dinger equations: algorithm, analysis and numerical explorations(2014) arXiv preprint arXiv:1404.1159
  95. YT Katan, T Kachman, S Fishman, A Soffer Dynamics of a Classical Particle in a Quasi Periodic Potential (2014) arXiv preprint arXiv:1405.5808