The set of connective constants of Cayley graphs contains a Cantor space

DOI10.1214/17-ECP43zbMath1357.82014arXiv1608.03478OpenAlexW2963907745MaRDI QIDQ507791

Sébastien Martineau

Publication date: 7 February 2017

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03478

zbMATH Keywords

Cayley graphtransitive graphconnective constantuncountability

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Strict monotonicity of percolation thresholds under covering maps ⋮ Locally infinite graphs and symmetries ⋮ Self-Avoiding Walks and Connective Constants

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