13 citations · 20 across the 15 of their papers we have counts for
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math.DG2016★ 13 cited
Nodal Geometry, Heat Diffusion and Brownian Motion
Bogdan Georgiev, Mayukh Mukherjee
We use tools from -dimensional Brownian motion in conjunction with the Feynman-Kac formulation of heat diffusion to study nodal geometry on a compact Riemannian manifold . On…
math.DG2016
Variation of Laplace spectra of compact "nearly" hyperbolic surfaces
Mayukh Mukherjee
We use the time real analyticity of Ricci flow proved by Kotschwar to extend a result in ~\cite{B}, namely, we prove that the Laplace spectra of negatively curved compact surfaces…