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CORR
2002
Springer
113views Education» more  CORR 2002»
14 years 9 months ago
Generic-case complexity, decision problems in group theory and random walks
We give a precise definition of "generic-case complexity" and show that for a very large class of finitely generated groups the classical decision problems of group theor...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
CORR
2002
Springer
115views Education» more  CORR 2002»
14 years 9 months ago
Average-case complexity and decision problems in group theory
Abstract. We investigate the average-case complexity of decision problems for finitely generated groups, in particular the word and membership problems. Using our recent results on...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
JSYML
1998
64views more  JSYML 1998»
14 years 9 months ago
Some Two-Cardinal Results for O-Minimal Theories
We examine two-cardinal problems for the class of O-minimal theories. We prove that an O-minimal theory which admits some (κ, λ) must admit every (κ , λ ). We also prove that ...
Timothy Bays
AB
2007
Springer
15 years 1 months ago
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equations. ...
Alexandre Sedoglavic
APPROX
2009
Springer
156views Algorithms» more  APPROX 2009»
15 years 4 months ago
Small-Bias Spaces for Group Products
Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting ...
Raghu Meka, David Zuckerman