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We show that the local limit of the uniform spanning tree on any finite, simple, connected, regular graph sequence with degree tending to $$\infty $$ ∞ is the Poisson(1) branching… Click to show full abstract
We show that the local limit of the uniform spanning tree on any finite, simple, connected, regular graph sequence with degree tending to $$\infty $$ ∞ is the Poisson(1) branching process conditioned to survive forever. An extension to “almost” regular graphs and a quenched version are also given.
Keywords:
local limit;
uniform spanning;
spanning trees;
limit uniform
Journal Title: Probability Theory and Related Fields
Year Published: 2021
Link to full text (if available)
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Journal Title: Probability Theory and Related Fields
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!