29 citations · 192 across the 45 of their papers we have counts for
3 papers · 2 filters
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…
Weyl's law for the Steklov problem on surfaces with rough boundary
Mikhail Karpukhin, Jean Lagacé, Iosif Polterovich
The validity of Weyl's law for the Steklov problem on domains with Lipschitz boundaries is a well-known open question in spectral geometry. We answer this question in two dimension…
Pólya's conjecture for Euclidean balls
Nikolay Filonov, Michael Levitin, Iosif Polterovich +1
The celebrated Pólya's conjecture (1954) in spectral geometry states that the eigenvalue counting functions of the Dirichlet and Neumann Laplacian on a bounded Euclidean domain can…