Chercheurs

Mathématiques / JITOMIRSKAYA, SVETLANA

szhitomi

Position

Professor, Department of Mathematics, University of California, Irvine, USA.

Thèmes de recherche

Mathematical Physics and Dynamical Systems

In her Annals paper, she developed a non-perturbative approach to quasiperiodic localization and solved the long-standing Aubry-Andre conujecture on the almost Mathieu operator. Her paper with Bourgain contains the first general non-perturbative result on the absolutely continuous spectrum.

Prix et récompenses

Simons Fellow 2014-2015
UCI Chancellor’s Fellow 2012-2015
Named the Most Influential UCI Faculty by an Honors graduate, 2005 and 2012
EPSRC Fellowship, Cambridge University Fall 2008
AMS Satter prize 2005
UCI Distinguished Faculty Midcareer Award 2004
UCI School of Physical Sciences Outstanding
Contributions to Undergraduate Education 2003
A.P.Sloan Research Fellowship 1996-2000

Publications

1. Complex one-frequency cocycles, J. Eur. Math. Soc. (JEMS), to appear. (with A. Avila and C. Sadel)
2. Analytic quasi-periodic Schrodinger operators and rational frequency approximants, GAFA 22 (2012), 14071443. (with C. Marx)
3. Almost Reducibility and Almost Localization. J. Eur. Math. Soc. (JEMS) 12 (2010), no. 1, 93131. (with A. Avila)
4. The Ten Martini problem. Annals of Math 170 no. 1, 303-342. (2009) (with A. Avila) 5. Absolutely continuous spectrum for 1D quasiperiodic operators Invent. Math. 148 (2002), no. 3, 453–463, (with J. Bourgain).
6. Power-Law Subordinacy and Singular Spectra, I. Half-line Operators. Acta Math., 183 (1999), no. 2, 171–189. (with Y. Last).
7. Metal-Insulator Transition for the Almost Mathieu Operator. Annals of Math., 150, 1159-1175 (1999)
8. Duality and Singular Continuous Spectrum in the Almost Mathieu Equation. Acta Math. 178, 169-183 (1997) (with A. Gordon, Y. Last and B. Simon).
9. Dimensional Hausdorff Properties of Singular Continuous Spectra. Phys. Rev. Lett. 76, 1765-1769 (1996) (with Y. Last).10. What is Localization? Phys. Rev. Lett. 75, 117-119 (1995) (with R. del Rio, Y. Last and B. Simon).
11. Singular Continuous Spectrum is Generic. Bull. AMS 31, 208-212 (1994) (with R. del Rio Castillo, N. Makarov and B. Simon).