38 citations · 102 across the 18 of their papers we have counts for
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math.GT2018
Convergence of normalized Betti numbers in nonpositive curvature
Miklos Abert, Nicolas Bergeron, Ian Biringer +1
We study the convergence of volume-normalized Betti numbers in Benjamini-Schramm convergent sequences of non-positively curved manifolds with finite volume. In particular, we show…
math.SP2018★ 9 cited
Eigenfunctions and Random Waves in the Benjamini-Schramm limit
Miklos Abert, Nicolas Bergeron, Etienne Le Masson
We investigate the asymptotic behavior of eigenfunctions of the Laplacian on Riemannian manifolds. We show that Benjamini-Schramm convergence provides a unified language for the le…