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STOC
2001
ACM
119views Algorithms» more  STOC 2001»
14 years 10 months ago
Complex tilings
Two infinite families of self-similar tilings are described which have apparently not been reported before. Each tiling is based on a single prototile that is a segment of a regul...
Bruno Durand, Leonid A. Levin, Alexander Shen
STOC
2001
ACM
111views Algorithms» more  STOC 2001»
14 years 10 months ago
Optimal outlier removal in high-dimensional
We study the problem of finding an outlier-free subset of a set of points (or a probability distribution) in n-dimensional Euclidean space. As in [BFKV 99], a point x is defined t...
John Dunagan, Santosh Vempala
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
14 years 10 months ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel
STOC
2001
ACM
94views Algorithms» more  STOC 2001»
14 years 10 months ago
Spectral analysis of data
Yossi Azar, Amos Fiat, Anna R. Karlin, Frank McShe...
STOC
2001
ACM
122views Algorithms» more  STOC 2001»
14 years 10 months ago
One-dimensional quantum walks
In this paper we analyze the behavior of quantum random walks. In particular we present several new results for the absorption probabilities in systems with both one and two absor...
Andris Ambainis, Eric Bach, Ashwin Nayak, Ashvin V...
STOC
2001
ACM
159views Algorithms» more  STOC 2001»
14 years 10 months ago
Optimal static range reporting in one dimension
We consider static one dimensional range searching problems. These problems are to build static data structures for an integer set S U, where U = {0, 1, . . . , 2w - 1}, which su...
Stephen Alstrup, Gerth Stølting Brodal, The...
STOC
2001
ACM
161views Algorithms» more  STOC 2001»
14 years 10 months ago
Quantitative solution of omega-regular games
We consider two-player games played for an infinite number of rounds, with -regular winning conditions. The games may be concurrent, in that the players choose their moves simulta...
Luca de Alfaro, Rupak Majumdar
STOC
2001
ACM
115views Algorithms» more  STOC 2001»
14 years 10 months ago
Running time and program size for self-assembled squares
Recently Rothemund and Winfree 6] have considered the program size complexity of constructing squares by selfassembly. Here, we consider the time complexity of such constructions ...
Leonard M. Adleman, Qi Cheng, Ashish Goel, Ming-De...
STOC
2001
ACM
160views Algorithms» more  STOC 2001»
14 years 10 months ago
A sieve algorithm for the shortest lattice vector problem
Miklós Ajtai, Ravi Kumar, D. Sivakumar
STOC
2001
ACM
138views Algorithms» more  STOC 2001»
14 years 10 months ago
Fast computation of low rank matrix
Given a matrix A, it is often desirable to find a good approximation to A that has low rank. We introduce a simple technique for accelerating the computation of such approximation...
Dimitris Achlioptas, Frank McSherry