Soumyajit Saha

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20212026

most citedEigenfunction localization and nodal geometry on dumbbell domains

1 citations · 1 across the 6 of their papers we have counts for

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math.SP2025

Nodal Domains on Surfaces under Perturbation: Upper Semicontinuity, Courant-Sharpness, and Boundary Intersections

Saikat Maji, Mayukh Mukherjee, Soumyajit Saha

We study how the number of nodal domains of eigenfunctions of Schrödinger operators $- Δ_{g_{t}} + V_{t}$ on closed surfaces changes under smooth perturbations of $(g_{t}, V_{t})$ along conver…

math.SP2021

On the effects of small perturbation on low energy Laplace eigenfunctions

Mayukh Mukherjee, Soumyajit Saha

We investigate several aspects of the nodal geometry and topology of Laplace eigenfunctions, with particular emphasis on the low frequency regime. This includes investigations in a…