3 problems

The incipient infinite lattice tree scaling conjecture
Incipient infinite lattice tree scaling conjecture. There exist constants $A,V,v$ and $\delta\in(0,1)$ such that (rhoscal) holds for $\rho^{(\mathrm{lt})}$ .
openFrom paperslattice-trees scaling-limits super-brownian-motion
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5
The lattice-tree and lattice-animal finite-size scaling profile conjecture
Lattice-tree and lattice-animal profile conjecture. The same critical finite-size scaling profile $I_0$ occurs for both lattice trees and lattice animals on $\mathbb{T}_r^d$ above…
openFrom papersfinite-size-scaling lattice-animals lattice-trees
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3
Universality of critical exponents on transitive graphs of polynomial growth
Let Bernoulli percolation and lattice trees be defined on transitive graphs of polynomial growth, and let the volume-growth dimension denote the dimension governing the graph's pol…
openFrom paperslattice-trees percolation universality
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7

The incipient infinite lattice tree scaling conjecture