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» On the Homological Dimension of Lattices
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IJBC
2010
77views more  IJBC 2010»
13 years 1 months ago
Starting homoclinic Tangencies Near 1 : 1 resonances
We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension 2. The core of the ...
Joseph Páez Chávez
CMA
2011
13 years 1 months ago
Detecting critical regions in multidimensional data sets
We propose a new approach, based on the Conley index theory, for the detection and classification of critical regions in multidimensional data sets. The use of homology groups ma...
Madjid Allili, David Corriveau, Sara Deriviè...
FOCS
2004
IEEE
13 years 10 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
CDC
2008
IEEE
154views Control Systems» more  CDC 2008»
13 years 8 months ago
Effect of topological dimension on rigidity of vehicle formations: Fundamental limitations of local feedback
We consider the role of topological dimension in problems of network consensus and vehicular formations where only local feedback is available. In particular, we consider the simpl...
Bassam Bamieh, Mihailo R. Jovanovic, Partha P. Mit...
APAL
2002
77views more  APAL 2002»
13 years 6 months ago
Degree spectra and computable dimensions in algebraic structures
Whenever a structure with a particularly interesting computability-theoretic property is found, it is natural to ask whether similar examples can be found within well-known classe...
Denis R. Hirschfeldt, Bakhadyr Khoussainov, Richar...