References of "Rochon, Frédéric"
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See detailCompactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries
Aldana Dominguez, Clara Lucia UL; Albin, Pierre; Rochon, Frédéric

in Journal of Geometric Analysis (2015), 25(2), 1185-1210

We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactness result for such ... [more ▼]

We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactness result for such families via a conformal surgery that allows us to reduce to the case of surfaces hyperbolic near infinity recently studied by Borthwick and Perry, or to the closed case by Osgood, Phillips, and Sarnak if there are only cusps. [less ▲]

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