13 citations · 20 across the 15 of their papers we have counts for
Showing 2021 · math.APShow all
3 papers · 2 filters
math.AP2021
Some applications of heat flow to Laplace eigenfunctions
Bogdan Georgiev, Mayukh Mukherjee
We consider mass concentration properties of Laplace eigenfunctions , that is, smooth functions satisfying the equation , on a smooth closed Riemannian manifold.…
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…
math.AP2021
Mass non-concentration at the nodal set and a sharp Wasserstein uncertainty principle
Mayukh Mukherjee
We prove -mass concentration properties of Laplace eigenfunctions away from their nodal sets, extending a recent result in \cite{GM3} to all dimensions, and giving a slight re…