You can download my publications list.

      Papers in journals

      1. Gurevich S., Hadani R. - Bounds on certain Higher-Dimensional Exponential Sums via the Self-Reducibility of the Weil Representation. Submitted to IMRN (2009) 28 pages.

      2. Gurevich S., Hadani R. - The Weil representation in characteristic two . Advances in Mathematics. Accepted (2009) 31 pages.

      3. Gurevich S. and Hadani R. - Quantization of symplectic vector spaces over finite fields. Journal of Symplectic Geometry, Volume 7, Number 4, 475--502, Dec. 2009.

      4. Gurevich S. and Hadani R. - The statistical restricted isometry property and the Wigner semicircle distribution of incoherent dictionaries. Submitted to the Annals of Applied Probability (2009) 22 pages.

      5. Gurevich S. and Hadani R. - On the diagonalization of the discrete Fourier transform . Applied and Computational Harmonic Analysis 27 (2009) 87--99.

      6. Gurevich S., Hadani R., Howe R. - Quadratic reciprocity and sign of Gauss sum via the finite Weil representation . IMRN. To appear (2009) 11 pages.

      7. Gurevich S., Hadani R., Sochen N. - The finite harmonic oscillator and its applications to sequences, communication and radar . IEEE Transactions on Information Theory, vol. 54, no. 9, September 2008, 4239--4253.

      8. Gurevich S., Hadani R., Sochen N. - The finite harmonic oscillator and its associated sequences . PNAS, July 22, 2008 vol. 105 no. 29 9869--9873 (2008).

      9. Gurevich S., Hadani R., Sochen N. - On some deterministic dictionaries supporting sparsity . Special issue on sparsity, the Journal of Fourier Analysis and Applications, Vol. 14, 859--876, Dec. 2008.

      10. Gurevich S. and Hadani R. - The geometric Weil representation . Selecta Mathematica, New Series, Vol. 13, No. 3. (December 2007), pp. 465--481.

      11. Gurevich S. and Hadani R. - Proof of the Kurlberg-Rudnick rate conjecture . Comptes Rendus Mathematique, Volume 342, Issue 1, 1 January 2006, Pages 69--72 (Presented by Michele Vergne).

      12. Gurevich S. and Hadani R. - Proof of the Kurlberg-Rudnick rate conjecture . Annals of Mathematics. To appear (Submitted March 2005) 52 pages.

        Papers in proceedings of conferences (refereed)

      13. Gurevich S., Hadani R. and Sochen N. - Group representation design of digital signals and sequences. Proceedings of the international conference on Sequences and Their Applications (SETA) 2008, University of Kentucky, Lexington, KY, Sep. 14-18, 2008 (Editors: S. Golomb, A. Pott, M. Parker, A. Winterhof) pp. 153--166.

      14. Gurevich S., Hadani R. and Sochen N. - Deterministic dictionaries for sparsity: A group representation approach. Proceedings of the 2008 European Signal Processing Conference (EUSIPCO-2008), Lausanne, Switzerland, Aug. 25-29, 2008, 4 pages.

      15. Gurevich S., Hadani R. and Sochen N. - The discrete Fourier transform: A canonical basis of eigenfunctions. Proceedings of the 2008 European Signal Processing Conference (EUSIPCO-2008), Lausanne, Switzerland, Aug. 25-29, 2008, 5 pages.

      16. Gurevich S. and Hadani R. - Application of the Weil representation: Diagonalization of the discrete Fourier transform. Proceedings of the Sixth Workshop on Lie Theory and Geometry, Cordoba, November 13 - 17, 2007 (Editors: C. S. Gordon, F. Grunewald, C. Olmos, J. A. Tirao, J. A. Wolf). To appear (2007) 12 pages.

      17. Gurevich S. and Hadani R. - Notes on self-reducibility of the Weil representation and higher dimensional quantum chaos. Proceedings of the EMS Summer School, Arithmetic and Geometry Around Quantization, Istanbul, June 5-15 2006 (Editors: O. Ceyhan, Yu. I. Manin and M. Marcolli). To appear (2009) 32 pages.

      18. Gurevich S. and Hadani R. - Notes on canonical quantization of symplectic vector spaces over finite fields. Proceedings of the EMS Summer School, Arithmetic and Geometry Around Quantization, Istanbul, June 5-15 2006 (Editors: O. Ceyhan, Yu. I. Manin and M. Marcolli). To appear (2009) 19 pages.

      19. Gurevich S. and Hadani R. - Proof of The Kurlberg-Rudnick Rate Conjecture. Proceedings of the 2nd international conference on p-adic mathematical physics, Belgrade (Serbia) and Montenegro, 15-21 September 2005, AIP Conference, Proceedings Volume 826 (Editors: Khrennikov, Rakic, Volovich) (2005) pp. 74-80.

        Preprints

      20. Gurevich S., Hadani R. and Singer A. - Representation theoretic patterns in three-dimensional cryo-electron microscopy: Reconstruction of the symmetry group and the shape of a symmetric molecule. Preprint (2009). .

      21. Gurevich S., Hadani R. and Sochen N. - Generalization of the Shannon sampling theorem. Preprint (2008).

      22. Gurevich S. and Hadani R. - Heisenberg realizations, eigenfunctions and proof of the Kurlberg-Rudnick supremum conjecture. Preprint (2005).

      23. Gurevich S. and Hadani R. - Hecke quantum unique ergodicity on higher dimensional tori. Preprint (Sep. 2004).

      24. Gurevich S. and Hadani R. - The multidimensional Hannay-Berry model. Preprint (2002).

      25. Gurevich S. and Hadani R. - The two dimensional Hannay-Berry model. Preprint (2001).

        Papers in preparation

      1. Gurevich S., Hadani R. and Weinstein A. - The linear symplectic category and the quantization functor: The finite field case (2009).

        Ph.D. Thesis

        Gurevich S. - Weil representation, Deligne's sheaf and proof of the Kurlberg-Rudnick conjecture. (March 2005).

        Patents

        Gurevich S., Hadani R. and Sochen N. - The finite harmonic oscillator. US patent and PCT. Pending (submitted January 2007).