Publications
Operator Algebras and Signal Processing:
Measure Functions for Frames , R. Balan, Z. Landau, Journal of Functional Analysis, to appear.
Density, overcompleteness, and localization of frames, R. Balan, P. Casazza, C. Heil, and Z. Landau, Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 71-86.(This is a research announcement for the two papers listed immediately below.)
Density, overcompleteness, and localization of frames, II. Gabor systems , R. Balan, P. Casazza, C. Heil, and Z. Landau, J. Fourier Anal. Appl.,12 (2006), no 3, 304--344.
Density, overcompleteness, and localization of frames, I. Theory , R. Balan, P. Casazza, C. Heil, and Z. Landau, J. Fourier Anal. Appl.,12 (2006), no 2, 105--143.
Randomizing the Replacement Attack,, D. Kirovski, Z. Landau IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.381--4, 2004
Generalized Lempel-Ziv Compression for Audio,, D. Kirovski, Z. Landau IEEE Multimedia and Signal Processing2004
Excesses of Gabor Frames , R. Balan, P. Casazza, C. Heil, and Z. Landau,
Journal of Applied and Computational Harmonic Analysis, 14 (2003), 87-106.
Deficits
and excesses of frames , R. Balan, P. Casazza, C. Heil, and Z. Landau,
Advances
in Computational Mathematics, Special Issue on Frames, 18 (2003), 93-116.
Gabor time-frequency lattices and the Wexler-Raz identity, I. Daubechies,
H.J. Landau, Z. Landau. J. Fourier Anal. Appl. 1 (1995), no. 4, 437--478.
Quantum Computation:
Polynomial Quantum Algorithms for Additive approximations of the Potts model and other Points of the Tutte Plane
D. Aharonov, I. Arad, E. Eban, Z. Landau arXiv:quant-ph/0702008
The quantum FFT can be classically simulated, D. Aharonov, Z. Landau, J. Makowsky arxiv.org/abs/quant-ph/0611156
A Polynomial Quantum Algorithm for Approximating the Jones Polynomial, D. Aharonov, V. Jones, Z. Landau. STOC06.
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation, Dorit Aharonov, Wim van Dam, Julia Kempe, Zeph Landau, Seth Lloyd, Oded Regev
FOCS 2004.
Subfactor Theory:
Intermediate Standard Invariants and Intermediate Planar Algebras, B. Bhattacharyya, Z. Landau,
Submitted to Journal of Functional Analysis
The planar algebra associated to a Kac algebra, V. Kodiyalam, Z. Landau, V.S. Sunder,
Proc. Indian Acad. Sci., 113, (2003), 15-51.
Planar
depth and planar subalgebras, Z. Landau and V.S. Sunder, Journal
of Functional Analysis, Vol. 195, No. 1, 2002, pp. 71-88.
Exchange
relation planar algebras, Z. Landau, Geometriae Dedicata, Vol. 95, No. 1, 2002, pp. 183-214.
Fuss-Catalan Algebras and Chains of Intermediate Subfactors, Z. Landau,
Pacific
Journal of Mathematics, Vol. 197, No.2, 2001.
Neuroscience and Mathematics
Spike-timing dependent plasticity: Input-rate normalization for Poisson Inputs, Z. Landau, K. Miller, preprint.
Probability
Optimal Estimators For Algorithmic Aplications, A. Abrams, S. Ganzell, H.J. Landau, Z.
Landau, J. Pommersheim, E. Zaslow, preprint .
Random Multiplication Approaches Uniform Measure in Finite Groups, A. Abrams, H.J. Landau, Z.
Landau, J. Pommersheim, E. Zaslow, Journal of Theoretical
Probability, Vol. 20, No. 1, March, 2007 .
Random Cayley Graphs are Expanders: a Simple Proof of the Alon-Roichman Theorem, Z. Landau, A. Russell, The Electronic Journal of Combinatorics, R62 Vol. 11(1), 2004.
An
iterated random function with Lipschitz number one, A. Abrams, H.J.
Landau, Z. Landau, J. Pommersheim, E. Zaslow, Theory of Probability and its Applications, vol.47, No.2, pp.286-300, 2002.
Evasive
random walks and the clairvoyant demon, A. Abrams, H.J. Landau, Z.
Landau, J. Pommersheim, E. Zaslow, Random Structures and Algorithms, 20 (2002), no. 2, 239--248.
Redistricting
A Fair Division Solution to the Problem of Redistricting, Z. Landau, O. Reid, I. Yershov, Social Choice and Welfare, to appear