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COMPGEOM
2007
ACM
13 years 11 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 2 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
Sergey Dashkovskiy, Björn Rüffer, Fabian...
CDC
2009
IEEE
127views Control Systems» more  CDC 2009»
14 years 14 days ago
Feedback interconnection of open quantum systems: A small gain theorem
Abstract— This paper examines the stability of quantum feedback networks. We introduce a novel characterization, in terms of equivalence classes of operators, that may be used to...
Ram Abhinav Somaraju, Ian R. Petersen
FS
2006
82views more  FS 2006»
13 years 7 months ago
A super-replication theorem in Kabanov's model of transaction costs
We prove a general version of the super-replication theorem, which applies to Kabanov's model of foreign exchange markets under proportional transaction costs. The market is ...
Luciano Campi, Walter Schachermayer
STACS
2010
Springer
14 years 2 months ago
Revisiting the Rice Theorem of Cellular Automata
Abstract. A cellular automaton is a parallel synchronous computing model, which consists in a juxtaposition of finite automata whose state evolves according to that of their neigh...
Pierre Guillon, Gaétan Richard