Continuity of Thurston's length function

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On the density of geometrically finite Kleinian groups (2002, methodology): “Then applying [ Bro1 , Theorem 2], any accumulation point Q of Q(X, Yn) has the property that ν(EQ)=ν(E ). This completes the proof.”
Bounded geometry for Kleinian groups (2001, background): “For further discussion and proofs see [42], [47] and also Brock [ 10 ].”
On the growth of $L^2$-invariants for sequences of lattices in Lie groups (2012, background): “ing Lamination Conjecture, recently resolved by Brock-Canary-Minsky [38], and the topological content follows from standard arguments and Brock’s proof of the continuity of Thurston’s length function [37]. However, a nicely written proof of the full statement was recorded by Leininger and Schleimer ”
The classification of Kleinian surface groups I : Models and bounds : preprint (2003, background): “See Brock [17] for a complete discussion in the case without thin parts.”