arXiv (All)
open access
The Area Asymptotics of $(sn,n)$-Dyck Paths
We study the total and average area of $(sn,n)$-Dyck paths: lattice paths from $(0,0)$ to $(sn,n)$ that stay weakly below the line $x=sy$, counted by the Fuss-Catalan numbers. Generalizing a result of Merlini, Sprugnoli, and Verri for the case $s=1$, we derive an exact formula for the total area ove
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Improved rational approximations to Catalan's constant#1062250
- Subexponential upper bound on the number of rich words#1327289
- Volumes of the strong and weak relaxations of the uncapacitated facility-location polytope#1061886
- Hausdorff--Choquet Angular Spaces and Weak-Type $(1,1)$ Bounds for Rough Maximal Operators#926669
- Finding Maximum-Success Disjoint Paths / Aaron Neugebauer, Marie Schmidt#1188480
Record · ID 1217046
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive