5 citations · 16 across the 10 of their papers we have counts for
4 papers · 1 filter
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.…
Polyhedral billiards, eigenfunction concentration and almost periodic control
Mihajlo Cekić, Bogdan Georgiev, Mayukh Mukherjee
We study dynamical properties of the billiard flow on convex polyhedra away from a neighbourhood of the non-smooth part of the boundary, called ``pockets''. We prove there are only…
On maximizing the fundamental frequency of the complement of an obstacle
Bogdan Georgiev, Mayukh Mukherjee
Let be a bounded domain satisfying a Hayman-type asymmetry condition, and let be an arbitrary bounded domain referred to as "obstacle". We are interes…
On the lower bound of the inner radius of nodal domains
Bogdan Georgiev
We discuss the asymptotic lower bound on the inner radius of nodal domains that arise from Laplacian eigenfunctions on a closed Riemannian manifold . First, in the…