Multiple ascending HNN extensions of free groups by finitely many hyperbolic non-surjective endomorphisms are hyperbolic.
Hyperbolic automorphisms of free groups.Geometric and Functional Anal- ysis, 10(5):1071–1089
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Hyperbolicity of Multiple Ascending HNN Extensions of Free Groups
Multiple ascending HNN extensions of free groups by finitely many hyperbolic non-surjective endomorphisms are hyperbolic.