2 citations · 3 across the 3 of their papers we have counts for
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Coarse nodal counts on sub-Riemannian manifolds
Irene Silvestre-Roselló, Vukašin Stojisavljević
We study coarse topology of nodal sets of linear combinations of eigenfunctions of sub-Laplacians. More precisely, we prove coarse versions of Courant's and Bézout's theorems for l…
Coarse nodal count and topological persistence
Lev Buhovsky, Jordan Payette, Iosif Polterovich +3
Courant's theorem implies that the number of nodal domains of a Laplace eigenfunction is controlled by the corresponding eigenvalue. Over the years, there have been various attempt…
Persistence barcodes and Laplace eigenfunctions on surfaces
Iosif Polterovich, Leonid Polterovich, Vukašin Stojisavljević
We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics. Some applications t…