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» An Existential Locality Theorem
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MST
2006
81views more  MST 2006»
13 years 8 months ago
Local Limit Properties for Pattern Statistics and Rational Models
Motivated by problems of pattern statistics, we study the limit distribution of the random variable counting the number of occurrences of the symbol a in a word of length n chosen...
Alberto Bertoni, Christian Choffrut, Massimiliano ...
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 3 months ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
SIAMCO
2010
93views more  SIAMCO 2010»
13 years 7 months ago
Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
We consider a network consisting of n interconnected nonlinear subsystems. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inpu...
Sergey Dashkovskiy, Björn Sebastian Rüff...
CPC
2010
116views more  CPC 2010»
13 years 6 months ago
A Separator Theorem for String Graphs and its Applications
A string graph is the intersection graph of a collection of continuous arcs in the plane. It is shown that any string graph with m edges can be separated into two parts of roughly...
Jacob Fox, János Pach
ISNN
2005
Springer
14 years 2 months ago
One-Bit-Matching ICA Theorem, Convex-Concave Programming, and Combinatorial Optimization
Recently, a mathematical proof is obtained in (Liu, Chiu, Xu, 2004) on the so called one-bit-matching conjecture that all the sources can be separated as long as there is an one-to...
Lei Xu