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math.PR2026
Iterated Graph Systems (III): Alexander-Orbach conjecture on hierarchical lattices
Ziyu Neroli
Can the Alexander-Orbach conjecture hold on hierarchical lattices? We construct Gromov-Hausdorff-Prokhorov scaling limits of critical percolation clusters on hierarchical lattices…
math.PR2026
Iterated Graph Systems (I): random walks and diffusion limits
Ziyu Neroli
This paper investigates random walks and diffusion limits on a broad class of fractals generated by Edge Iterated Graph Systems (EIGS), a generalisation of hierarchical lattices. W…