Construction of ergodic IDLA forests in ${\mathbb{Z}}^d$

Nicolas Chenavier, David Coupier, Keenan Penner +1

We prove the existence of infinite-volume IDLA forests in ${\mathbb{Z}}^d$ , with $d\ge 2$, based on a multi-source IDLA protocol. Unlike IDLA aggregates, the laws of the IDLA fore…