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99
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MMMACNS
2005
Springer
15 years 6 months ago
Networks, Markov Lie Monoids, and Generalized Entropy
The continuous general linear group in n dimensions can be decomposed into two Lie groups: (1) an n(n-1) dimensional ‘Markov type’ Lie group that is defined by preserving the ...
Joseph E. Johnson
110
Voted
MFCS
2004
Springer
15 years 6 months ago
Captive Cellular Automata
Abstract. We introduce a natural class of cellular automata characterised by a property of the local transition law without any assumption on the states set. We investigate some al...
Guillaume Theyssier
118
Voted
COMPGEOM
2010
ACM
15 years 6 months ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir
ICALP
2010
Springer
15 years 5 months ago
A Topological Approach to Recognition
We propose a new approach to the notion of recognition, which departs from the classical definitions by three specific features. First, it does not rely on automata. Secondly, it...
Mai Gehrke, Serge Grigorieff, Jean-Eric Pin
105
Voted
COMPGEOM
2007
ACM
15 years 5 months ago
Kinetic KD-trees and longest-side KD-trees
We propose a simple variant of kd-trees, called rank-based kd-trees, for sets of points in Rd . We show that a rank-based kd-tree, like an ordinary kd-tree, supports range search ...
Mohammad Ali Abam, Mark de Berg, Bettina Speckmann