91 citations · 323 across the 30 of their papers we have counts for
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math.GT2020★ 18 cited
A high-genus asymptotic expansion of Weil-Petersson volume polynomials
Nalini Anantharaman, Laura Monk
The object under consideration in this article is the total volume of the moduli space of hyperbolic surfaces of genus with boundary components…
math.SP2020★ 3 cited
Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We introduce the notion of Benjamini-Schramm convergence for quantum graphs. This notion of convergence, intended to play the role of the already existing notion for discrete graph…
math.SP2020★ 5 cited
Absolutely Continuous Spectrum for Quantum Trees
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We study the spectra of quantum trees of finite cone type. These are quantum graphs whose geometry has a certain homogeneity, and which carry a finite set of edge lengths, coupling…