Elliptic Harnack Inequality for ${\mathbb{Z}}^d$

Siva Athreya, Nitya Gadhiwala, Ritvik R. Radhakrishnan

We prove the scale invariant Elliptic Harnack Inequality (EHI) for non-negative harmonic functions on ${\mathbb{Z}}^d$. The purpose of this note is to provide a simplified self-con…