Rigidity and tolerance for perturbed lattices

Probability Seminar
Oct 31, 2018 3:00pm to 4:00pm
Location: 
1011 Evans Hall
Status: 
Happening As Scheduled
Consider a perturbed lattice {v+Y_v} obtained by adding IID d-dimensional Gaussian variables {Y_v} to the lattice points in Z^d. Suppose that one point, say Y_0, is removed from this perturbed lattice; is it possible for an observer, who sees just the remaining points, to detect that a point is missing?
Yuval Peres, Microsoft Research