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math.DG2012
Asymptotics of analytic torsion for hyperbolic three--manifolds
Jean Raimbault
We prove that for certain sequences of hyperbolic three--manifolds with cusps which converge to hyperbolic three--space in a weak ("Benjamini-Schramm") sense and certain coefficien…
math.RT2012
On the growth of -invariants for sequences of lattices in Lie groups
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
We study the asymptotic behaviour of Betti numbers, twisted torsion and other spectral invariants of sequences of locally symmetric spaces. Our main results are uniform versions of…