arXiv:2109.06531 Abstract | arXiv Analytics

arXiv:2109.06531 [math.AP]Abstract References Reviews Resources

Some applications of heat flow to Laplace eigenfunctions II

Published 2021-09-14Version 1

We apply tools from Brownian motion and probability to investigate aspects of nodal geometry of Laplace eigenfunctions. Among other topics, we comment on the Dirichlet hot spot, interaction of nodal sets and the interplay between Dirichlet and Neumann boundary conditions.

Comments: 19 pages, 4 figures

Categories: math.AP, math-ph, math.DG, math.MP

Keywords: laplace eigenfunctions, heat flow, applications, dirichlet hot spot, neumann boundary conditions

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