Henselian valued fields and inp-minimality
  We prove that every ultraproduct of $p$-adics is inp-minimal (i.e., of burden $1$). More generally, we prove an Ax-Kochen type result on preservation of inp-minimality for Henselian valued fields of equicharacteristic $0$ in the RV language. 
Artem Chernikov and Pierre Simon
math.LO math.AC