Papers in Journals

  1. Hadani R. and Singer A. - Representation theoretic patterns in three dimensional cryo-electron microscopy I - The intrinsic reconstitution algorithm. Annals of Mathematics (2011).
  2. Gurevich S. and Hadani R. - Proof of the Kurlberg-Rudnick rate conjecture. Annals of Mathematics (2011).
  3. Hadani R. and Singer A. - Representation theoretic patterns in three dimensional cryo-electron microscopy II - the class averaging problem. Foundations of Computational Mathematics (FoCM) (2011).
  4. Singer A., Zhao Z., Shkolnisky Y. and Hadani R. - Viewing Angle Classification Of Cryo-Electron Microscopy Images Using Eigenvectors. Siam Journal On Imaging Science (2011).
  5. Gurevich S. and Hadani R., The Categorical Weil Representation. Submitted (2011).
  6. Gurevich S., Hadani R. and Singer A. -  Representation theoretic patterns in three dimensional cryo-electron microscopy III - Presence of Point Symmetries. In preparation.
  7. Gurevich S. and  Hadani R., - The Weil representation in characteristic two. Accepted for publication in Advances In Mathematics (2009).
  8. Gurevich S. and Hadani R. - On the diagonalization of the discrete Fourier transform. Applied and Computational Harmonic Analysis, volume 27, 87--99 (2009).
  9. Gurevich S., Hadani R. and Howe R. - Quadratic reciprocity and sign of Gauss sum via the finite Weil representation. Accepted for publication in IMRN (2009).
  10. 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.
  11. Gurevich S. and Hadani R. - Incoherent dictionaries and the statistical restricted isometry property. Submitted (2009).
  12. Gurevich S., Hadani R. and Sochen N. - On some deterministic dictionaries supporting sparsity. The Journal of Fourier Analysis and Applications, Special issue on sparsity, volume 14, 859-876, Dec 2008.
  13. Gurevich S., Hadani R. and  Sochen N. - The finite harmonic oscillator and its associated sequences. Proceedings of the National Academy of Sciences (PNAS), Jully 22, 2008 vol. 105 no. 29 9869-9873 (2008).
  14. Gurevich S., Hadani R. and Sochen N. - The finite harmonic oscillator and its applications to sequences, communication and radar. IEEE Transactions on Information Theory, volume 54, number 9, 4239--4253, Sep. 2008.
  15. Gurevich S. and Hadani R. - Self-reducibility of the Weil representation and higher-dimensional quantum chaos. Submitted (2008).
  16. Gurevich S. and  Hadani R. - The geometric Weil representation. Selecta Mathematica, New Series, Vol. 13, No. 3. (December 2007), pp. 465-481.
  17. Gurevich S. and  Hadani R. - Proof of the Kurlberg-Rudnick rate conjecture. Comptes Rendus Mathematique, Volume 342, Issue 1, January 2006, pp. 69-72 (Presented by Michele Vergne).
  18. Hadani R. and Harel D. - A multi-scale algorithm for drawing graph nicely. 25th International Workshop on Graph-Theoretic concepts in Computer Science (WG'99)(Ascona). Discrete Appl. Math. 113 (2001), no 1, 3--21.

Papers in proceedings of conferences (refereed)

  1. Gurevich S., Hadani R. and Sochen N. - A Group representation design of digital signals and sequences. To appear in the proceedings of the international conference on Sequences and Their Applications (SETA) 2008, University of Kentucky, Lexington, KY - Sept. 14-18, 2008 (Editors: S. Golomb, A. Pott, M. Parker, A. Winterhof).
  2. Gurevich S., Hadani R. and Sochen N. -The discrete Fourier transform: A canonical basis of eigenfunctions. To appear in the proceedings of the 2008 European Signal Processing Conference (EUSIPCO-2008), Lausanne, Switzerland, Aug. 25-29, 2008.
  3. Gurevich S., Hadani R. and Sochen N. - Deterministic dictionaries for sparsity: A group representation approach. To appear in the proceedings of the 2008 European Signal Processing Conference (EUSIPCO-2008), Lausanne, Switzerland, Aug. 25-29, 2008.
  4. Gurevich S. and Hadani R. - Application of the Weil representation: Diagonalization of the discrete Fourier transform. To appear in the 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) (2008).
  5. Gurevich S. and Hadani R. - Notes on quantization of symplectic vector space over finite fields. To appear in the 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) (2006).
  6. Gurevich S. and Hadani R. - Notes on self-reducibility of the Weil representation and higher dimensional quantum chaos. To appear in the 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) (2006).
  7. 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).
  8. Hadani R. and Harel D. -  A multi-scale algorithm for drawing graphs nicely. Graph-Theoretic concepts in Computer Science (Ascona, 1999), 262--277, Lecture Notes in Comput. Sci., 1665, Springer, Berlin (1999).

Papers in preparation

  1. Gurevich S. and Hadani R., The idempotent theorem and the categorical Weil representation.
  2. Gurevich S., Hadani R. and Weinstein A. - The linear symplectic category and the quantization functor: The finite field case (2008).
  3. Hadani R. - The Weil representation over the complex numbers and localization of Schwartz spaces (2008).

Preprints

  1. Gurevich S. and Hadani R. - The two dimensional Hannay-Berry model (2001).
  2. Gurevich S. and Hadani R. - The Multidimensional Hannay-Berry Model (2003).
  3. Gurevich S. and Hadani Ronny. - The higher dimensional Kurlberg-Rudnick conjecture (2004).
  4. Gurevich S. and Hadani R. - Heisenberg realizations, eigenfunctions and proof of the Kurlberg-Rudnick supremum conjecture (2005).

M.Sc. Thesis

Hadani R. - A multi-scale algorithm for drawing graphs nicely. The Weizmann Institute of Science (2000).

Ph.D. Thesis

Hadani R. - The geometric Weil representation and some of its applications. Tel-Aviv University (2006).

Patents

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