Math 2.0

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A subquadratic upper bound for the mixing time of the Thorp shuffle 8WM10QMA9E

URIm2://res/8WM10QMA9E
Kindpreprint
CreatorsYunjiang Jiang
Date2026-10-03
MSC60-XX
Subjectsarxiv math.PR, arxiv cs.DS
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-03
IdsarXiv 2610.18884

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Finite-parameter marked-card smoothingstatementtheorem C.1arxiv
Explicit sweep clockstatementcorollary F.3arxiv
Candidates and a symmetric partnerstatementlemma D.1arxiv
Exact labelled routing weightstatementlemma A.1arxiv
Explicit improved clockstatementproposition 5.3arxiv
Asymmetric finite criterionstatementtheorem 8.1arxiv
Optimized marked orderstatementproposition 7.2arxiv
Connected edge-set momentstatementtheorem B.1arxiv
Adjustable scalar interpolationstatementlemma 5.2arxiv
General endpoint momentstatementlemma 5.1arxiv
Dimension-free entropy profilestatementtheorem F.2arxiv
Main theoremstatementtheorem 1.1arxiv
Unsigned and signed marked boundsstatementlemma 6.2arxiv
Uniform collision-graph geometrystatementlemma A.2arxiv
Elementary scalar truncationstatementlemma E.1arxiv
Uniform scalar estimatestatementlemma E.2arxiv
Entropy truncation with pointwise dominationstatementlemma 7.1arxiv
QSSTYYGTCXstatementcorollary 4.1arxiv
Two separate lossesstatementlemma D.2arxiv
A subcritical endpoint momentstatementlemma F.1arxiv
Coordinate layer and sweepdefinitiondefinition 1.2arxiv
One-sweep inclusion boundstatementlemma A.3arxiv
Exact multiplicity and dimension ratiostatementlemma 6.1arxiv

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