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math.DG2019★ 3 cited
Topology of the nodal set of random equivariant spherical harmonics on
Junehyuk Jung, Steve Zelditch
We show that real and imaginary parts of equivariant spherical harmonics on have almost surely a single nodal component. Moreover, if the degree of the spherical harmonic is…
math.DG2011
Sharp bounds for the intersection of nodal lines with certain curves
Junehyuk Jung
Let be a hyperbolic surface and let be a Laplacian eigenfunction having eigenvalue with . Let be the set of nodal lines of . For a fixed analytic…