1 citations · 1 across the 6 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
math.AP2023★ 1 cited
Eigenfunction localization and nodal geometry on dumbbell domains
Saikat Maji, Soumyajit Saha
In this article, we study the location of the first nodal line and hot spots under different boundary conditions on dumbbell-shaped domains. Apart from its intrinsic interest, dumb…
math.AP2021
Heat profile, level sets and hot spots of Laplace eigenfunctions
Mayukh Mukherjee, Soumyajit Saha
We use probabilistic tools based on Brownian motion and Feynman-Kac formulae to investigate the heat profile for the ground state Dirichlet and second Neumann eigenfunctions. Among…