Search results for "Formal power series"

showing 3 items of 3 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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Semi-Universal unfoldings and orbits of the contact group

1996

Pure mathematicsNumber theoryDifferential geometryFormal power seriesGeneral MathematicsTangent spaceBanach spaceContact groupTopological vector spaceTopology (chemistry)MathematicsAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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Mahonian STAT on words

2016

In 2000, Babson and Steingrimsson introduced the notion of what is now known as a permutation vincular pattern, and based on it they re-defined known Mahonian statistics and introduced new ones, proving or conjecturing their Mahonity. These conjectures were proved by Foata and Zeilberger in 2001, and by Foata and Randrianarivony in 2006.In 2010, Burstein refined some of these results by giving a bijection between permutations with a fixed value for the major index and those with the same value for STAT , where STAT is one of the statistics defined and proved to be Mahonian in the 2000 Babson and Steingrimsson's paper. Several other statistics are preserved as well by Burstein's bijection.At…

FOS: Computer and information sciencesQA75[ INFO ] Computer Science [cs]Discrete Mathematics (cs.DM)Major index0102 computer and information sciencesMathematical Analysis01 natural sciencesWords and PermutationsCombinatorial problemsEquidistributionTheoretical Computer ScienceCombinatoricssymbols.namesakePermutationBijectionsFOS: MathematicsMathematics - CombinatoricsMathematical proofs[INFO]Computer Science [cs]0101 mathematicsStatisticMathematicsStatisticZ665Algebraic combinatoricsMathematics::CombinatoricsFormal power seriesPatternPermutationsEulerian path16. Peace & justiceComputer Science Applications010101 applied mathematics010201 computation theory & mathematicsCombinatoricsSignal ProcessingsymbolsBijectionCombinatorics (math.CO)Information SystemsComputer Science - Discrete Mathematics
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