A chip-firing and a Riemann-Roch theorem on an ultrametric space

DOI10.1007/978-981-19-4672-1_2zbMath1504.31021OpenAlexW4297571805MaRDI QIDQ2088460

Yanyan Li

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-19-4672-1_2

zbMATH Keywords

weighted graphLaplacianDirichlet spaceRiemann-Roch theoremultrametric space

Mathematics Subject Classification ID

Trees (05C05) Dirichlet forms (31C25) Paths and cycles (05C38)

Cites Work

• Transitions on a noncompact Cantor set and random walks on its defining tree
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• A Dirichlet space on ends of tree and Dirichlet forms with a nodewise orthogonal property
• A Dirichlet space on ends of tree and superposition of nodewise given Dirichlet forms with tier linkage

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