Lin-Jun Li

Discrete Unique Continuation on Simplex

For integers $N\ge0$ and $n\ge2$, let \[ \Delta_N^{(n)} =\left\{\alpha\in\mathbb Z_{\ge 0}^n: \alpha_1+\cdots+\alpha_n=N\right\}. \] We formulate a discrete unique-continuation problem on this lattice simplex. Given an integer $R\ge1$, consider a function $g:\Delta_{nR}^{(n)}\to\mathbb R$ satisfying the complete orient...