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

Neroli, Ziyu
arXiv (All) · Papers
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mathematical-physicsprobabilitystatistical-mechanics
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 rigoro
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