Oort-Zink proved that a $p$-divisible group over a normal base in characteristic $p$ with constant Newton polygon is isogenous to a $p$-divisible group admitting a slope filtration. In this paper, we generalize this result to log $p$-divisible groups.
Families of p-divisible groups with constant Newton polygon
On specializations of minimal $p$-divisible groups
A $p$-adically entire function with integral values on ${\mathbb Q}_p$ and entire liftings of the $p$-divisible group ${\mathbb Q}_p/{\mathbb Z}_p$
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