Math 2.0

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The Area Asymptotics of $(sn,n)$-Dyck Paths XHHBGCVG90

URIm2://res/XHHBGCVG90
Kindpreprint
CreatorsEvan Conway, James Harbour
Date2026-10-06
MSC05-XX
Subjectsarxiv math.CO
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-06
IdsarXiv 2610.07671, zbl_id 903200188

Items in this resource

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

ItemKindWhereSource
Path Typedefinitiondefinition 3.1.1arxiv
Bounds on Average Area for Large $s$statementlemma 6.3.1arxiv
Dyck Path Areadefinitiondefinition 2.1.2arxiv
Dyck Pathdefinitiondefinition 2.1.1arxiv
Total Area Asymptotics in $n$statementcorollary 5.3.1arxiv
D22R0CZGDKexampleexample 3.1.1arxiv
Lower Bound on the Sumstatementlemma 5.2.2arxiv
Asymptotics of the Sumstatementcorollary 5.2.1arxiv
Paths of a Given Typestatementlemma 3.1.1arxiv
Touchpointsdefinitiondefinition 2.3.1arxiv
GX01CB8KPEexampleexample 2.2.1arxiv
Recursive Area Formulastatementproposition 3.2.1arxiv
Weighted Type Sumsstatementlemma 3.2.1arxiv
Bounds on the Sum for Large $s$statementlemma 6.2.1arxiv
$(sn,n)$-Dyck Path Areadefinitiondefinition 2.2.2arxiv
Upper Bound on the Sumstatementlemma 5.2.1arxiv
Bounds on Total Areastatementtheorem 5.3.1arxiv
St\u{a}nic\u{a}'s Binomial Boundsstatementlemma 5.1.1arxiv
Exact Total Area Formulastatementtheorem 4.2.1arxiv
Bounds on Total Area for Large $s$statementlemma 6.2.2arxiv
Average Area Asymptotics in $s$statementcorollary 6.3.1arxiv
Average Area Asymptotics in $n$statementcorollary 5.3.2arxiv
Bounds on Average Areastatementtheorem 5.3.2arxiv
VJ0AQ6113Fexampleexample 2.1.2arxiv
X3XABB6VYRexampleexample 2.3.1arxiv
X7G9DSBHFWexampleexample 2.1.1arxiv
Total Area Asymptotics in $s$statementcorollary 6.2.1arxiv
Z3HZZHVFJ1exampleexample 2.2.2arxiv
$(sn,n)$-Dyck Pathdefinitiondefinition 2.2.1arxiv

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