Author

Ziyu Neroli

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Iterated Graph Systems (III): Alexander-Orbach conjecture on hierarchical lattices

Can the Alexander-Orbach conjecture hold on hierarchical lattices? We construct Gromov-Hausdorff-Prokhorov scaling limits of critical percolation clusters on hierarchical lattices in the chemical metric and determine the typical spectral dimensions of the associated diffusions. These dimensions are dense in $(1,2)$; ho...

Ziyu Neroli · 0 citations

Preprint Oct 2026

Iterated Graph Systems (II): Bernoulli percolation and critical-exponent universality classes on hierarchical lattices

We study Bernoulli percolation and its universality classes on hierarchical lattices generated by edge iterated graph systems (EIGS). By examining eight critical exponents, we prove that no finite family of substitution-multiplicative dimensions completely determines universality, providing a rigorous proof of the fail...

Ziyu Neroli · 0 citations