Search results for "Hardy field"

showing 2 items of 2 documents

Construction of O-minimal Structures from Quasianalytic Classes

2012

I present the method of constructing o-minimal structures based on local reduction of singularities for quasianalytic classes.

Reduction (complexity)Pure mathematicsFormal power seriesMathematics::Complex VariablesMathematics::Classical Analysis and ODEsGravitational singularityHardy fieldMathematics
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Weak mixing implies weak mixing of higher orders along tempered functions

2009

AbstractWe extend the weakly mixing PET (polynomial ergodic theorem) obtained in Bergelson [Weakly mixing PET. Ergod. Th. & Dynam. Sys.7 (1987), 337–349] to much wider families of functions. Besides throwing new light on the question of ‘how much higher-degree mixing is hidden in weak mixing’, the obtained results also show the way to possible new extensions of the polynomial Szemerédi theorem obtained in Bergelson and Leibman [Polynomial extensions of van der Waerden’s and Szemerédi’s theorems. J. Amer. Math. Soc.9 (1996), 725–753].

PolynomialPure mathematicsApplied MathematicsGeneral MathematicsMathematical analysisVan der Waerden's theoremErgodic theoryHardy fieldMixing (physics)MathematicsErgodic Theory and Dynamical Systems
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