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# Documents  Canzani, Yaiza | enregistrements trouvés : 2

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## Understanding the growth of Laplace eigenfunctions (part 1 of 2) Canzani, Yaiza | CIRM H

Post-edited

Research talks;Partial Differential Equations;Geometry

In this talk we will discuss a new geodesic beam approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of $L^{2}$ mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Using the description of concentration, we obtain quantitative improvements on the known bounds in a wide variety of settings. In this talk we will discuss a new geodesic beam approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of $L^{2}$ mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along ...

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## Probabilistic methods in geometry, topology and spectral theory:CRM workshop on probabilistic methods in spectral geometry PDEMontréal # August 22-26, 2016and on probabilistic methods in topologyMontréal # November 14-18, 2016 Canzani, Yaiza ; Chen, Linan ; Jakobson, Dmitry | American Mathematical Society;Centre De Recherches Mathematiques 2019

Congrès

- viii; 197 p.
ISBN 978-1-4704-4145-6

Contemporary mathematics , 0739

Localisation : Collection 1er étage

théorie spectrale # probabilités # analyse géométrique asymptotique # chaos quantique # géométrie des métriques aléatoires # gravité quantique # espace de triangulation # statistique topologique # noeud aléatoire

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