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CORR
2011
Springer
159views Education» more  CORR 2011»
13 years 6 months ago
Geodesics in CAT(0) Cubical Complexes
We describe an algorithm to compute the geodesics in an arbitrary CAT(0) cubical complex. A key tool is a correspondence between cubical complexes of global non-positive curvature ...
Federico Ardila, Megan Owen, Seth Sullivant
CORR
2011
Springer
223views Education» more  CORR 2011»
13 years 6 months ago
Decentralized Formation Control Part I: Geometric Aspects
In this paper, we develop new methods for the analysis of decentralized control systems and we apply them to formation control problems. The basic set-up consists of a system with...
Mohamed-Ali Belabbas
CORR
2011
Springer
153views Education» more  CORR 2011»
13 years 6 months ago
Stability Analysis of Transportation Networks with Multiscale Driver Decisions
Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers’ route choices are influenced by information at multiple temporal and spat...
Giacomo Como, Ketan Savla, Daron Acemoglu, Munther...
CORR
2011
Springer
124views Education» more  CORR 2011»
13 years 6 months ago
Taking Saratoga from Space-Based Ground Sensors to Ground-Based Space Sensors
Lloyd Wood, Charles Smith, Wesley M. Eddy, William...
CORR
2011
Springer
155views Education» more  CORR 2011»
13 years 6 months ago
Connectedness of fractals associated with Arnoux-Rauzy substitutions
Rauzy fractals are compact sets with fractal boundary that can be associated with any unimodular Pisot irreducible substitution. These fractals can be defined as the Hausdorff l...
Valérie Berthé, Timo Jolivet, Anne S...
CORR
2011
Springer
180views Education» more  CORR 2011»
13 years 6 months ago
Commutative Algebra of Statistical Ranking
A model for statistical ranking is a family of probability distributions whose states are orderings of a xed nite set of items. We represent the orderings as maximal chains in a ...
Bernd Sturmfels, Volkmar Welker
CORR
2011
Springer
187views Education» more  CORR 2011»
13 years 6 months ago
Global Stability Analysis of Fluid Flows using Sum-of-Squares
This paper introduces a new method for proving global stability of fluid flows through the construction of Lyapunov functionals. For finite dimensional approximations of fluid...
Paul Goulart, Sergei Chernyshenko
CORR
2011
Springer
197views Education» more  CORR 2011»
13 years 6 months ago
Arrangements of double pseudolines
We define a double pseudoline as a simple closed curve in the open M¨obius band homotopic to the double of its core circle, and we define an arrangement of double pseudolines a...
Luc Habert, Michel Pocchiola
CORR
2011
Springer
142views Education» more  CORR 2011»
13 years 6 months ago
Status of GDL - GNU Data Language
A. Coulais, M. Schellens, J. Gales, S. Arabas, M. ...