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math.PR2020
Effective bounds for monochromatic connectivity measures in two dimensions
Matthew de Courcy-Ireland, Suresh Eswarathasan
We establish numerical lower bounds for the monochromatic connectivity measure in two dimensions introduced by Sarnak and Wigman. This measure dictates among the nodal domains of a…
math.PR2019
Direction distribution for nodal components of random band-limited functions on surfaces
Suresh Eswarathasan, Igor Wigman
Let be a smooth compact Riemannian surface with no boundary. Given a smooth vector field with finitely many zeroes on , we study the distribution of the number of ta…