| Title | Co-authors | Status | Link |
| On the mass-critical generalized KdV equation | S. Kwon S. Shao M. Visan |
Submitted. | math.AP/0907.5412 |
| A doubling measure can charge a rectifiable curve | J. Garnett R. Schul |
To appear in Proc. Amer. Math. Soc. | math.AP/0906.2484 |
| Energy-supercritical NLS: critical $\dot H^s$-bounds imply scattering | M. Visan | Submitted. | math.AP/0812.2084 |
| Nonlinear Schr\"odinger equations at critical regularity | M. Visan | To appear in proceedings of the 2008 Clay summer school, ``Evolution Equations'' held at the ETH, Zürich. |
Lecture Notes |
| The characterization of minimal-mass blowup solutions to the focusing mass-critical NLS | D. Li M. Visan X. Zhang |
SIAM J. Math. Anal. 41 (2009), 219-236. | math.AP/0804.1124 MR2505858 |
| The focusing energy-critical nonlinear Schrodinger equation in dimensions five and higher | M. Visan | To appear in Amer. J. Math. | math.AP/0804.1018 |
| The mass-critical nonlinear Schrodinger equation with radial data in dimensions three and higher | M. Visan X. Zhang |
Analysis and PDE 1 (2008), 229-266. | math.AP/0708.0849 MR2472890 |
| The cubic nonlinear Schrodinger equation in two dimensions with radial data | T. Tao M. Visan |
J. Euro. Math. Soc. 11 (2009), 1203-1258. | math.AP/0707.3188 |
| Gaussian fluctuations for $\beta$ ensembles. | Int. Math. Res. Not. (2008) 19pp. | math.PR/0703140 MR2428142 |
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| Perturbations of orthogonal polynomials with periodic recursion coefficients | D. Damanik B. Simon |
To appear in Ann. Math. | math.SP/0702388 |
| Energy-critical NLS with quadratic potentials | M. Visan X. Zhang |
Comm. PDE. 34 (2009), 1531-1565. | math.AP/0611394 |
| Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles | M. Stoiciu | Duke Math. 146 (2009), 361-399. | math-ph/0608002 MR2484278 |
| Eigenfunction statistics in the localized Anderson model | F. Nakano | Ann. Henri Poincar\'e 8 (2007), 27-36. | mp_arc/06-150 MR2299191 |
| Absence of reflection as a function of the coupling constant | R. Sims | J. Math. Phys. 47 (2006). | math-ph/0601033 MR2239949 |
| Spectral theory via sum rules | In ``Spectral theory and mathematical physics: a Festschrift in honor of Barry Simon's 60th birthday,'' 907--930, Proc. Sympos. Pure Math., 76, Part 2, Amer. Math. Soc., Providence, RI, 2007. | MR2310217 | |
| Sum rules and spectral measures of Schr\"odinger operators with $L^2$ potentials | B. Simon | Ann. Math. 170 (2009), 739–782. | math/0608767 |
| CMV: the unitary analogue of Jacobi matrices | I. Nenciu | Comm. Pure Appl. Math. 60 (2007), 1148-1188. | math/0508113 MR2330626 |
| Bounds on the spectral shift function and the density of states | D. Hundertmark S. Nakamura P. Stollmann I. Veselic |
Comm. Math. Phys. 262 (2006), 489-503. | math-ph/0412078 MR2200269 |
| Schr\"odinger operators with few bound states | D. Damanik B. Simon |
Commun. Math. Phys. 258 (2005) 741-750. | math-ph/0409074 MR2172016 |
| Ergodic potentials with a discontinuous sampling function are non-deterministic | D. Damanik | Math. Research Letters 12 (2005) 187-193. | math-ph/0402070 MR2150875 |
| Almost everywhere positivity of the Lyapunov exponent for the doubling map | D. Damanik | Commun. Math. Phys. 257 (2005), 287-290. | math-ph/0405061 MR2164599 |
| Half-line Schr\"odinger operators with no bound states | D. Damanik | Acta Math. 193 (2004), 31-72. | math-ph/0303001 MR2155031 |
| Matrix models for circular ensembles | I. Nenciu | Int. Math. Res. Not. 2004, 2665-2701. | math/0410034 MR2127367 |
| Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schr\"odinger operators | D. Damanik B. Simon |
Int. Math. Res. Not. 2004, 1087-1097. | math/0309206 MR2041649 |
| Energy growth in Schr\"odinger's equation with Markovian forcing | M. Erdogan W. Schlag |
Commun. Math. Phys. 240 (2003), 1-29. | MR2004977 |
| Variational estimates for discrete Schr\"odinger operators with potentials of indefinite sign | D. Damanik D. Hundertmark B. Simon |
Commun. Math. Phys. 238 (2003), 545-562. | math-ph/0211015 MR1993385 |
| Sum rules for Jacobi matrices and their applications to spectral theory | B. Simon | Ann. of Math. 158 (2003), 253-321. | math-ph/0112008 MR1999923 |
| Dynamical upper bounds on wavepacket spreading | A. Kiselev Y. Last |
Amer. J. Math. 125 (2003), 1165-1198. | math/0112078 MR2004433 |
| Perturbations of 1-dimensional Schr\"odinger operators preserving the absolutely continuous spectrum | Int. Math. Res. Not. 2002, 2029-2061. | mp_arc/01-387 MR1925875 |
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| Reducing Subspaces | C. Remling | J. Funct. Anal. 187 (2001) 396-405. | mp_arc/01-155 MR1875153 |
| Perturbations of one-dimensional Schr\"odinger operators preserving the absolutely continuous spectrum | Caltech Ph.D. Thesis. | mp_arc/00-326 | |
| Reflection symmetries of almost periodic functions | D. Damanik | J. Funct. Anal. 178 (2000) 252-257. | math-ph/0005018 MR1802894 |
| Uniform spectral properties of one-dimensional quasicrystals, III. $\alpha$-continuity | D. Damanik D. Lenz |
Commun. Math. Phys. 212 (2000) 191-204. | math-ph/9910017 MR1764367 |
| On the absolutely continuous spectrum of one-dimensional Schrodinger operators with square summable potentials | P. Deift | Commun. Math. Phys. 203 (1999) 341-347. | MR1697600 |
| Adaptive single-shot phase measurements: The full quantum theory | H. Wiseman | Phys. Rev. A 57 (1998) 2169-2185. | PROLA |
| Adaptive single-shot phase measurements: A semiclassical approach | H. Wiseman | Phys. Rev. A 56 (1997) 944-957. | PROLA |
| Nonlocal momentum transfer in welcher Weg measurements | H. Wiseman F. Harrison M. Collett S. Tan D. Walls |
Phys. Rev. A 56 (1997) 55-75. | PROLA |