• A remark on isopolar potentials, unpublished, 1988 (revised 1992), appeared in SIAM J. Math. Analysis. 82(6)(2001), 1823-1826.

  • Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces, Inventiones Math. 136 (1999), 353-409.

  • Spacing between phase shifts in a simple scattering problem (with S. Zelditch ), Comm. Math. Phys., 204 (1999), 709-729.

  • Poisson formula for resonances in even dimensions, Asian J. Math. 2(3) (1998), 615-624.

  • Breit-Wigner approximation and distribution of resonances (with V. Petkov), Comm. Math. Phys., 204 (1999), 329-351.

  • Resonances in Physics and Geometry, Notices of the American Mathematical Society, March 1999.

  • Resonant rigidity of S^2 (with A. Hassell), J. Functional Analysis, 169 (1999), 604-609.

  • Wave trace for Riemann surfaces (with L. Guillopé), Geom. and Funct. Anal., 6 (1999), 1156-1168.

  • Asymptotic distribution of resonances for convex obstacles (with J. Sjöstrand), Acta Math., 183(2) (1999), 191-253.

  • Semiclassical estimates in asymptotically euclidean scattering(with A. Vasy), Comm.Math.Phys. 212(2000), 205-217.

  • Resonance wave expansions: two hyperbolic examples(with T. Christiansen), Comm.Math.Phys. 212(2000), 323-336.

  • Resonance expansions of scattered waves(with S.H. Tang), Comm. Pure and Appl. Math. 53(2000), 1305--1334.

  • Correction to ``Breit Wigner approximation and the distribution of resonances'', Comm. Math. Phys. 204 (1999), 329-351 (with Vesselin Petkov), Comm. Math. Phys. 214 (2000), 733-735.

  • The FBI transform on compact manifolds(with J. Wunsch), Trans. Amer. Math. Soc. 353 (2001), 1151-1167.

  • Singular part of the scattering matrix determines the obstacle, Osaka J. Math. 38(2001), 13--20.

  • Distribution of resonances for asymptotically euclidean manifolds(with J. Wunsch), J. Diff. Geometry. 55(2000), 43-82.

  • Scattering matrices and scattering geodesics of locally symmetric spaces(with L. Ji), Ann. Sci. Ec. Norm. Sup. 34(2001), 441-469. See also Correction and supplements (by L. Ji), Ann. Sci. École Norm. Sup. (4) 35 (2002), no. 6, 897--901.

  • A remark on a paper by E.B. Davies , Proc. A.M.S. 129(2001), 2955-2957.

  • Semi-classical estimates on the scattering determinant (with Vesselin Petkov), Annales H. Poincare, 2 (2001), 675-711.

  • Resonance expansions in semi-classical propagation (with Nicolas Burq), Comm. Math. Phys. 232 (2001), 1-12.

  • Quantum monodromy and semiclassical trace formulae (with Johannes Sjöstrand), J. Math. Pure Appl. 81 (2002), 1-33. A short note with some simplifications is available here.

  • Birkhoff normal forms in semi-classical inverse problems (with Alexei Iantchenko and Johannes Sjöstrand), Math. Res. Lett. 9 (2002), 337-362.

  • Quantum resonances in chaotic scattering (with Kevin Lin), Chem. Phys. Lett. 355(2002)(1-2), 201-205. See also the home page of this numerical project.

  • Numerical Linear Algebra and Solvability of Partial Differential Equations , Comm. Math. Phys. 229 (2002)(2), 293-307.

  • Scattering matrix in conformal geometry (with C. Robin Graham ), Invent. Math., 152 (2003) 1, 89-118.

  • Fractal Weyl laws for chaotic open systems (with Wentao Lu and Srinivas Sridhar ), Phys. Rev. Lett. 91, 154101 (2003)

  • Quantum resonances and partial differential equations, Proc. ICM 2002, vol. III.

  • Resonance expansions of propagators in the presence of potential barriers (with Shu Nakamura and Plamen Stefanov ), J. Funct. Analysis. 205 (2003), 180-205.

  • Pseudospectra of semi-classical (pseudo)differential operators (with Nils Dencker and Johannes Sjöstrand), Comm. Pure Appl. Math., 57 (2004), no. 3, 384-415.

  • Pseudospectra in automorphic scattering (with Tanya Christiansen ), Forum Mathematicum, 16 (2004), 681-694.

  • The Selberg zeta function for convex co-compact Schottky groups,(with Laurent Guillope and Kevin Lin), Comm. Math. Phys. 245 (1), 2004, 149 - 176.

  • Control in the presence of a black box(with Nicolas Burq), J. Amer. Math. Soc. 17 (2004), 443-471.

  • Growth of the zeta function for a quadratic map and the dimension of the Julia set (with John Strain), Nonlinearity, 17(5), 2004, 1607 - 1622.

    • The fortran code for the evaluation and counting of zeros of this dynamical zeta function is also available.

  • A remark on the inverse problem for resonances. Appendix to a paper by S. Zelditch , "Inverse resonance problem for Z2-symmetric analytic obstacles in the plane." Geometric methods in inverse problems and PDE control, 289--321, IMA Vol. Math. Appl., 137, Springer, New York, 2004.

  • Bouncing ball modes and quantum chaos, (with Nicolas Burq), SIAM Review, 47(5), 2005, 43-49.

  • Instability for the semi-classical non-linear Schrödinger equation, (with Nicolas Burq), Comm. Math. Phys., 260(2005), 45-58.

  • Fractal Weyl laws in discrete models of chaotic scattering (with Stéphane Nonnenmacher ), Journal of Physics A, 38 (2005), 10683-10702.

  • Distribution of resonances for open quantum maps (with Stéphane Nonnenmacher ), Comm. Math. Phys. 269(2007), 311-365.

  • Dynamical definition of the transmission rate September 2005.

  • Symmetry of bound and antibound states in the semiclassical limit (with David Bindel), Letters in Mathematical Physics, 81, Number 2 (2007), 107-117.

  • Slow soliton interaction with external delta potentials (with Justin Holmer) Journal of Modern Dynamics, 1, Number 4 (2007), 689-718.

  • Soliton splitting by external delta potentials (with Justin Holmer and Jeremy Marzuola), Journal of Nonlinear Science, 17, Number 4 (2007), 349-367.

    • This paper is a numerical/scientific companion to the related analytical paper below.

  • Fast soliton scattering by delta impurities(with Justin Holmer and Jeremy Marzuola), Comm. Math. Phys. 274, Number 1 (2007), 187-216.

  • Semiclassical Lp estimates(with Herbert Koch and Daniel Tataru), Annales Henri Poincaré, 8, Number 5 (2007), 885-916.

  • On dissipation induced destabilization and brake sqeal: a structured pseudospectral perspective (with Oliver O'Reilly, Patrick Kessler, and Annelise Raphael), Journal of Sound and Vibration, Volume 308(1-2), (2007), 1-11.

    Here also are some notes on the relation of pseudospectra to basins of attraction.

  • Fractal upper bounds on the density of semiclassical resonances (with Johannes Sjöstrand), Duke Mathematical Journal, 137, Number 3 (2007), 381-459.

    Notes based on a lecture discussing a simplified case are available here.

  • Elementary linear algebra for advanced spectral problems (with Johannes Sjöstrand), Annales de l'Institut Fourier, 57(2007), 2095-2141.

  • Geometric structure of NLS evolution(with Justin Holmer), expository note, September 2008.

  • Soliton interaction with slowly varying potentials (with Justin Holmer), IMRN, 2008 (2008), Art. ID runn026, 36 pp.