L.P. Horwitz and A. Soffer, On the Existence of the Wave Operators inRelativistic Quantum Scattering Theory, Helv. Phys. Acta, 53, 1980.
L.P. Horwitz, Y. Lavie and A. Soffer, Scattering Theory in RelativisticQuantum Mechanics, Proceeding of the VII Int. Colloq. on Group Theoretical Methods in Physics, 3, Annals of the Israel Phys. Soc., 1980, 231-235.
L.P. Horwitz and A. Soffer, B∗-Algebra Representation in Quaternionic Hilbert Modules, J. Math. Phys., 24, 1983, 12.
A. Soffer, A perturbation Theory for Long-Range Interactions of theCoulomb Type, Lett. Math. Phys., 7, 1983, 163-169.
A. Soffer, Completeness of Wave Operators in Relativistic QuantumMechanics, Lett. Math. Phys., 8, 1984.
A. Soffer, Long Range Scattering in Non-Abelian Gauge Theory, Phys. Rev., D15, Rapid Comm. 29, 1984, 8.
M. Schwartz and A. Soffer, An Exact Inequality for Random SystemsApplications to Random Field, Phys. Rev. Lett., 55, 1985, 2499.
I.M. Sigal and A. Soffer, Asymptotic Completeness for Short Range ManyBody Systems, Bull. AMS, 14, January 1986, 1.
I.M. Sigal and A. Soffer, Asymptotic Completeness for N-body QuantumMechanics, IAMP Mathematical Physics Conference, Marseille, 1986, (10 pages).
I.M. Sigal and A. Soffer, N particle Scattering Problem-AsymptoticCompleteness for Short Range Systems, ed. Knowles Int. Conf. on Differential Equations and Math. Phys., Birmingham, Alabama, 1986, (35 pages).
M. Schwartz and A. Soffer, Critical Correlation, Susceptibility RelationsIn Random Field Systems, Phys. Rev., B15 , Rapid Comm. 33, No. 3-4, 1986, 2059-2061.
I.M. Sigal and A. Soffer, The N-particle Scattering Problem-AsymptoticCompleteness for Short Range Systems, Annals of Math., 126, 1987, 35-108.
I.M. Sigal and A. Soffer, Local Decay and Propagation Estimates for TimeDependent and Time Independent Hamiltonians, (50 pages), preprint, Princeton 1988, (ftp://www.math.rutgers.edu/pub/soffer).
I.M. Sigal and A. Soffer, Long Range Many Body Scattering AsymptoticClustering for Coulomb Type Potentials, Inventiones Mathematics, 99, 1990, 115-143.
A. Soffer and M. Weinstein, Multichannel Nonlinear Scattering Theory forNonintegrable Equations, Comm. Math. Phys., 133, 1990, 119-146.
A. Soffer and M. Weinstein, Multichannel Nonlinear Scattering Theoryfor Nonintegrable equations, Proceeding of the Oléron Conference on Integrable Systems, 1988, Springer Lecture Notes in Physics, No. 342, 312-327.
J.L. Journé, A. Soffer and C.S. Sogge, CHANGENEEDED Estimates for timedependent Schrödinger Equations, Bull., AMS, 23, No. 2, 1990.
J.L. Journé, A. Soffer and C. Sogge, Decay Estimates for SchrödingerOperators, Comm. Pure Appl. Math. XLIV No. 5, 1991, 573-604.
E. Carlen and A. Soffer, Entropy Production by Block Spin Summation andCentral Limit Theorems, Comm. Math. Phys. 140, No. 2, 1991, 339-371.
A. Soffer and M. Weinstein, Multichannel Nonlinear Scattering Theory forNonintegrable Equations II, the Case of Anisotropic Potentials and Data, Journal of Differential Equations, 98 No. 2, 1992, 376-390.
A. Soffer, On the Many Body Problems in Quantum Mechanics, Méthodes Semiclassiques, Astérisque, 207, 1, 1992, 109-152.
J. Ginibre, A. Soffer and G. Velo, The Global Cauchy Problem for theCritical Nonlinear Wave Equation, Journal of Functional Analysis, 110, No. 1, 1992, 96-130.
I.M. Sigal and A. Soffer, Asymptotic Completeness for N ≤ 4 ParticlesSystems with Coulomb-type Interactions, Duke Math. J. 71, No. 1, 1993, 243-298.
I.M. Sigal and A. Soffer, Asymptotic Completeness of N Particle LongRange Scattering, J. Am. Math. Soc., 7, No. 2, 1994, 307-334.
A. Boutet de Monvel, V. Georgescu and A. Soffer, N-body Hamiltonianswith hard core interactions, Rev. in Math. Physics, 6, No. 4, 1994, 515-596.
A. Soffer, M. Weinstein, Time Dependent resonance theory andperturbations of embedded eigenvalues (P. Greiner, V. Ivrii, L. Seco and C. Sulem, eds), CRM Lecture Notes, Toronto (1995), 277-282.
A. Soffer, Time dependent resonance theory in Quantum Mechanics, PDE Conference Proc., Potsdam (1996), Akademic-Verlag, 384-391.
A. Soffer, M. Weinstein, Time Dependent resonance theory, Geometric and Functional Analysis, (GAFA) 8, 1998, 1086-1128.
A. Soffer, M. Weinstein, Nonautonomous Hamiltonians, J. Stat. Phys., 93, 1998, 359-391.
A. Soffer, M. Weinstein, Resonances, Radiation Damping and Instabilityin Hamiltonian nonlinear wave equations, Inventiones mathematicae, 136, 1999, 9-74.
V. Bach, J. Fröhlich, I. M. Sigal, A. Soffer, Positive Commutators andSpectrum of Pauli-Fierz Hamiltonians of Atoms and Molecules, Comm. Math. Phys., 207, 1999, 557-587.
W. Hunziker, I. M. Sigal, A. Soffer, Minimal Velocity Bounds, Comm. PDE, 24, (1999), No. 11/12, 2279-2295.
A. Soffer, M. Weinstein, Ionization and scattering for short lived potentials, Lett. Math. Phys., 1999, 48, No.4, 339-352.
I. Laba, A. Soffer, Global Existence and Scattering theory for the NonlinearSchrödinger equation on Schwarzschild manifold, Helv. Phys. Acta, 72, (1999), 274-294.
P. Miller, A. Soffer, M. Weinstein, Methastability of Breather modes ofTime Dependent Potentials, Nonlinearity, 13, (2000), 507-568.
O. Costin, A. Soffer, Resonance theory for Schrödinger Operators, Comm. Math. Phys., 224, (2001), 133-152.
A. Soffer, The Enss Method, Encyclopedia of Mathematics, supp III (2001), 140-141.
A. Soffer, Dissipation Through Dispersion, CRM Lecture Notes, (C. Sulem, I. Sigal, eds.), (2001).
I.M. Sigal, A. Soffer, L. Zielinski, On the spectral properties ofHamiltonians without conservation of the particle number, J. Math. Phys. 43 (2002) No. 4, 1844-1855.
F. Nier, A. Soffer, Dispersion and Strichartz estimates for some finite rankperturbations of the Laplace Operator, J. Funct. Analysis, 198, (2003), 511-535.
A. Soffer, W.M. Wang Anderson Localization for time periodic RandomSchrödinger Operators”, Com. PDE, 28, Nos. 1,2, (2003), 333-347.
P. Blue, A. Soffer, Semilinear wave equations on the Schwarzschildmanifold I:local decay, Advances in Dif. Eqs., 8, No. 5 (2003), 595-614.
A. Soffer, M. Weinstein, Selection of the ground state in the nonlinearSchrödinger equation, Rev. Math. Phys., 16, No.8 (2004), 977-1071.
E. Carlen, A. Soffer, Propagation of Localization optimal entropyproduction and convergence rates for the centarl Limit Theorem submitted (2011), (22 pages).
I. Rodnianski, W. Schlag, A. Soffer, Dispersive analysis of charge transfermodels, Communications on Pure and Applied Mathematics 58, Issue 2 (2005), 149-216.
I. Rodnianski, W. Schlag, A. Soffer, Asymptotic stability of N-solitons, submitted, (2003), (75+ pages).
H. Lindblad, A. Soffer, A remark on long range scattering for the nonlinearKlein-Gordon equation, J. Hyperbolic Diff. Eqs., 2, No.1 (2005), 77-89.
H. Lindblad, A. Soffer, Asymptotic Completeness for the criticalKlein-Gordon Equation, Lett. Math. Phys., Vol.3 (2005)249-258.
H. Lindblad, A. Soffer, Scattering and small data completeness for thecritical nonlinear Schrödinger equation,Nonlinearity 19 (2006) 345-353
P. Blue, A. Soffer, The wave equation on the Schwarzscild metric II: Localdecay for the spin 2 Regge Wheeler equation, J. Math. Phys., 46 (2005), 012502.
N. Komarova, A. Soffer, Nonlinear waves in double-stranded DNA, Bull. Math. Biology, 67, No.4 (2005), 701-718.
Y. Strauss, A. Soffer, I.M. Sigal, From Gammow states to Resonances forSchrödinger equations, preprint, (2005), (22 pages).
V. Fleurov, A. Soffer, Nonlinear effects in tunneling escape in N-bodyquantum systems, Europhysics Letters, 72, No.2 (2005), 287-293.
P. Blue, A. Soffer, Phase space analysis on some black hole manifolds J. Func. Analysis,256 (2009) No. 1, 1-90.
A. Soffer, M. Weinstein, Theory of Multidimensional Nonlinear DispersiveWaves: From Exact Results to Applications, Phys. Rev. Lett. 95 213905(2005).
A. Soffer, C. Stucchio, Reflectionless Propagation Algorithm for theSchrödinger Equation, (2006), 100+ pages.
N. Komarova, A. Soffer, Loaded Waves Model of RNAP-DNA Dynamics, in preparation, (30 pages).
C. Siegel, A. Soffer, C. Stucchio, Polynomial time bounds of Errors in Dirichlet to Neumann Schemes, preprint (2008), posted, to be submitted.
A. Soffer, C. Stucchio, Open Boundaries for the Nonlinear SchrödingerEquation, J. Comp. Physics, 225, No.2 (2007) 1218-1262.
G. Dekel, V. Fleurov, A. Soffer, C. Stucchio, Temporal dynamics oftunneling. Hydrodynamic approach, Physical Rev. A. 75 043617(2007).
W. Schlag, A. Soffer, W. Staubach, Decay estimates for the SchrödingerEvolution on asymptotically conic surfaces of revolution I, Trans. Amer. Math Soc. 362 (2010) No.1, 289-318
A. Soffer, Soliton Dynamics and Scattering, International Congress of Mathematicians Vol III,(2006).459-471
P. Blue, A. Soffer, Improved decay rates with small regularity loss for thewave equation about a Schwarzschild black hole, Preprint (40 pages) (2007), submitted.
A. Soffer, C. Stucchio, Multiscale Resolution of Shortwave-LongwaveInteraction, Comm. Pure Appl. Math Vol. LXII 0082-0124 (2009)
P. Blue, A. Soffer, A space-time integral estimate for large data semi-linearwave equations on Schwarzchild manifold, Letters in Math. Phys.81, No3(2007)227-238.
S. Fishman, Y. Krivolapov, A. Soffer, On the problem of dynamicallocalization in the nonlinear Schrödinger equation with a random potential, J. Stat. Phys. 131 (2008), no. 5, 843–865.
W. Schlag, A. Soffer, W. Staubach, Decay for the wave and Schroedingerequations on manifolds with conical ends, part II, Trans. Amer. Math. Soc. 362 (2010), No. 1, 19-52
A. Soffer, C. Stucchio, Stable Open boundaries for Anisotropic waves, preprint (2008).
A.Barak, O. Peleg, C. Stucchio, A.Soffer, M. Segev Observation of SolitonTunneling Phenomena and Soliton Ejection, Phys. Rev. Lett. 100, 153901 (2008).
A.Barak, O. Peleg, A. Soffer, M. Segev, Multi-Soliton Ejection from anAmplifying Potential Trap, Optics Letters, Vol. 33, Issue 16, 1798-1800 (2008)
G. Dekel, O.V. Farberovich, A.Soffer, V. Fleurov, Nonlinear DynamicPhenomena in Macroscopic Tunneling, Physica D: Nonlinear Phenomena (2009) 238, 1475-1481
A. Soffer Geometric Characterization of Solitons, Comm. Partial Differential Equations 33 (2008), no. 10-12, 1953–1974
J. Froehlich, I. M. Sigal, A. Soffer, C. Stucchio Dynamics of QuantumFriction, Preprint (2008)
Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer, A numerical andsymbolical approximation of the Nonlinear Anderson Model, , (2010) New J. Phys. 12, 063035
Roland Donninger, Wilhelm Schlag, Avy Soffer, On pointwise decay oflinear waves on a Schwarzschild black hole background Comm. Math. Phys. 309 (2012) No. 1, 51-86.
G. Dekel, V. Farberovich, V. Fleurov, A. Soffer, Dynamics of MacroscopicTunneling in Elongated BEC, Phys. Rev. A 81, 063638 (2010)
Roland Donninger, Wilhelm Schlag, Avy Soffer, A proof of Price’s Lawon Schwarzschild black hole manifolds for all angular momenta, Advances in Mathematics Volume 226, Issue 1, 15 January 2011, Pages 484-540
Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer, Perturbation theory forthe Nonlinear Schrödinger Equation with a random potential, Nonlinearity 22 (2009), no. 12, 2861-2887.
A. Soffer, The maximal velocity of a Photon Preprint (2010), (22 pages), submitted.
W. Schlag, A. Soffer On Pointwise Decay of Nonlinear waves, Preprint (2010), (33 pages)
Marius Beceanu, Avy Soffer The Schrödinger Equation with Potential inRough Motion Comm. Partial Differential Equations 37 (2012), no. 6, 9691000
Alexander Rivkind, Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer Eigenvalue repulsion estimates and some applications for theone-dimensional Anderson model, Journal of Physics A44- mathematical and general, (2011) No.30, 305206.
Juerg Froehlich, Zhou Gang, Avy Soffer Some Hamiltonian Models ofFriction J. Math. Phys. 52 (2011) No.8, 083508.
E. Cohen, S. Muenzel, J. Fleischer, V. Fleurov, A. Soffer Jet-like tunnelingfrom a trapped vortex Physical Review A 88.4 (2013): 043833.
S.Fishman, Y. Krivolapov, A. Soffer The Nonlinear Schrödinger Equationwith a random potential: Results and Puzzles, Nonlinearity 25 (2012), no. 4,pages R53-R72 .(Solicited)
Marius Beceanu, Avy Soffer The Schrödinger Equation with Potential inRandom Motion (2011), submitted.
Avy Soffer, Monotonic Local Decay Estimates, (2011), Submitted. (44 pages)
Juerg Froehlich, Zhou Gang, Avy Soffer Friction in a model ofHamiltonian Dynamics Comm. Math. Phys. 315, 401444 (2012).
S. Fishman, A. Soffer Multiscale Time Averaging, reloaded (2012), SIAM Journal of Math Analysis, 46(2), 13851405 (2014).
V Fleurov, A Soffer Soliton in a Well. Dynamics and Tunneling – arXiv preprint arXiv:1305.4279, 2013
H Lindblad, A Soffer Scattering for the Klein-Gordon equation withquadratic and variable coefficient cubic nonlinearities Trans. AMS, to appear. arXiv preprint arXiv:1307.5882
G Fleishon, S Fishman, A Soffer High order perturbation theory fornonlinear Anderson model, Eur Phys. J B 87(2),1-6 (2014).
A Soffer, X Zhao On multichannel solutions of nonlinear Schrö dingerequations: algorithm, analysis and numerical explorations(2014) arXiv preprint arXiv:1404.1159
YT Katan, T Kachman, S Fishman, A Soffer Dynamics of aClassical Particle in a Quasi Periodic Potential (2014) arXiv preprint arXiv:1405.5808