Central limit theorems hold for cluster counts K_r and stationary percolation functionals including Betti numbers on quasi-transitive subexponentially growing graphs and amenable Cayley graphs with left-orderable subgroups.
Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits).Publications Mathématiques de l’IHÉS, 53:53–78
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Topology of Percolation Clusters: Central Limit Theorems beyond the Lattice
Central limit theorems hold for cluster counts K_r and stationary percolation functionals including Betti numbers on quasi-transitive subexponentially growing graphs and amenable Cayley graphs with left-orderable subgroups.