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» On the Homological Dimension of Lattices
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SODA
2010
ACM
164views Algorithms» more  SODA 2010»
13 years 5 months ago
Hardness Results for Homology Localization
: © Hardness Results for Homology Localization Chao Chen, Daniel Freedman HP Laboratories HPL-2009-374 algebraic topology, homology, localization We address the problem of localiz...
Chao Chen, Daniel Freedman
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 10 months ago
On the Extremality of an 80-Dimensional Lattice
Abstract. We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillot and others, is extremal (i.e., the minimal nonzero norm is 8). Thi...
Damien Stehlé, Mark Watkins
NA
2007
100views more  NA 2007»
13 years 6 months ago
Periodization strategy may fail in high dimensions
Abstract. We discuss periodization of smooth functions f of d variables for approximation of multivariate integrals. The benefit of periodization is that we may use lattice rules,...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
COMPUTING
2007
118views more  COMPUTING 2007»
13 years 6 months ago
The construction of good extensible Korobov rules
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...
CSC
2008
13 years 8 months ago
On the Random Walks of Geometrical Forms in Two-Dimensions
I show how to design the value of the diffusion constant D for the random walks of Squares and Triangles over their respective regular lattice in two-dimensions. By allowing moveme...
J. F. Nystrom