Invariant random subgroups of strictly diagonal limits of finite symmetric groups

We classify the ergodic invariant random subgroups of strictly diagonal limits of finite symmetric groups

A dynamical version of the Mordell-Lang conjecture for the additive group

We prove a dynamical version of the Mordell-Lang conjecture in the context of Drinfeld modules. We use analytic methods similar to the ones employed by Skolem, Chabauty, and Coleman for studying diophantine equations.Comment: 13 page