Observability for Schrödinger and heat equations on lattices is equivalent to a local arithmetic condition on the set, revealing a discrete obstruction absent in Euclidean settings.
Macià, The Schrödinger flow on a compact manifold: high-frequency dynamics and dispersion, inModern Aspects of the Theory of Partial Differential Equations, Oper
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Observable sets for Schr\"odinger equations on combinatorial graphs
Observability for Schrödinger and heat equations on lattices is equivalent to a local arithmetic condition on the set, revealing a discrete obstruction absent in Euclidean settings.