Resumen de Determining Sets for the Discrete Laplacian

Aviad Rubinstein, Jacob Rubinstein, Gershon Wolansky

• We define a notion of determining sets for the discrete Laplacian in a domain O . A set $D$ is called determining if harmonic functions are uniquely determined by providing their values on $D$, and if $D$ has the same size as the boundary of O. It is shown that there exist determining sets that are fairly evenly distributed in O. A number of basic properties of determining sets are derived.