For every n≥3, non-trivial solutions on the simplex lattice Δ_N^{(n)} and on Z^n have at least c N^{⌈n/2⌉} (resp. c L^{⌈n/2⌉}/log L) sites where the value is not exponentially small.
Binomial determinants, paths, and hook length formulae
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Quantitative Unique Continuation on Simplex and $\mathbb{Z}^n$
For every n≥3, non-trivial solutions on the simplex lattice Δ_N^{(n)} and on Z^n have at least c N^{⌈n/2⌉} (resp. c L^{⌈n/2⌉}/log L) sites where the value is not exponentially small.