7 citations · 13 across the 9 of their papers we have counts for
4 papers · 1 filter
Universal finite-size scaling in high-dimensional critical phenomena
Yucheng Liu, Jiwoon Park, Gordon Slade
We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. Our…
Critical scaling profile for trees and connected subgraphs on the complete graph
Yucheng Liu, Gordon Slade
We analyse generating functions for trees and for connected subgraphs on the complete graph, and identify a single scaling profile which applies for both generating functions in a…
The torus plateau for the high-dimensional Ising model
Yucheng Liu, Romain Panis, Gordon Slade
We consider the Ising model on a -dimensional discrete torus of volume , in dimensions and for large , in the vicinity of the infinite-volume critical point .…
Boundary conditions and the two-point function plateau for the hierarchical model in dimensions 4 and higher
Jiwoon Park, Gordon Slade
We obtain precise plateau estimates for the two-point function of the finite-volume weakly-coupled hierarchical model in dimensions , for both free and periodic bo…