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JC
2007
94views more  JC 2007»
13 years 8 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
PPDP
2009
Springer
14 years 3 months ago
Set functions for functional logic programming
We propose a novel approach to encapsulate non-deterministic computations in functional logic programs. Our approach is based on set functions that return the set of all the resul...
Sergio Antoy, Michael Hanus
ISAAC
2009
Springer
98views Algorithms» more  ISAAC 2009»
14 years 3 months ago
On the Tightness of the Buhrman-Cleve-Wigderson Simulation
Abstract. Buhrman, Cleve and Wigderson gave a general communication protocol for block-composed functions f(g1(x1 , y1 ), · · · , gn(xn , yn )) by simulating a decision tree com...
Shengyu Zhang
STOC
2001
ACM
122views Algorithms» more  STOC 2001»
14 years 9 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...