Note on locality of volume growth rate of graphs

DOI10.1016/j.spl.2023.109994OpenAlexW4388821768MaRDI QIDQ6152251

He Song, Kai-Nan Xiang

Publication date: 13 February 2024

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2023.109994

zbMATH Keywords

infinite graphlocalitybiased random walkvolume growth rate

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Infinite graphs (05C63) Random walks on graphs (05C81)

Cites Work

• The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\)
• Random walks on the lamplighter group
• Is the critical percolation probability local?
• Random walks and percolation on trees
• Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
• Locality of connective constants
• Self-Avoiding Walks and Connective Constants
• FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE
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