Papers in Journals

  1. 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.
  2. Gurevich S. and Hadani R. - Proof of the Kurlberg-Rudnick rate conjecture. Submitted to the Annals of mathematics (March 2005).
  3. 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).
  4. Gurevich S. and  Hadani R. - The geometric Weil representation. Selecta Mathematica, New Series, Vol. 13, No. 3. (December 2007), pp. 465-481.
  5. Gurevich S. and Hadani R. - On the diagonalization of the discrete Fourier transform. To appear in Applied and Computational Harmonic Analysis (2008).
  6. Gurevich S., Hadani R. and Howe R. - Quadratic reciprocity and sign of Gauss sum via the finite Weil representation. To appear IMRN (2008).
  7. Gurevich S., Hadani R. and Sochen N. - The finite harmonic oscillator and its applications to sequences, communication and radar. IEEE Transactions on Information Theory (2008).
  8. 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).
  9. Gurevich S., Hadani R. and Sochen N. - On some deterministic dictionaries supporting sparsity. The Journal of Fourier Analysis and Applications, Special issue on sparsity (2008).
  10. Gurevich S. and  Hadani R., - The Weil representation in characteristic two. Submitted to Advances In Mathematics (2008).
  11. Gurevich S. and Hadani R. - Incoherent dictionaries and the statistical restricted isometry property. Submitted to IEEE journal of selected topics in signal processing - special issue on compressive sensing (2008).
  12. Gurevich S. and  Hadani R. - Quantization of symplectic vector spaces over finite fields. Submitted to the Journal of Symplectic Geometry (2008).
  13. Gurevich S. and Hadani R. - Self-reducibility of the Weil representation and higher-dimensional quantum chaos Submitted (2008).

Papers in proceedings of conferences (refereed)

  1. 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).
  2. 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).
  3. 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).
  4. 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).
  5. 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).
  6. 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.
  7. 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.
  8. 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).

Papers in preparation

  1. Gurevich S., Hadani R. and Weinstein A. - The linear symplectic category and the quantization functor: The finite field case (2008).
  2. 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).
  5. Gurevich S., Hadani R. and Sochen N. - Generalization of the Shanon's sampling theorem (2008).

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).