2000 character limit reached
On the hot spots of quantum trees
Published 7 Aug 2018 in math.SP, math-ph, and math.MP | (1808.02274v1)
Abstract: We show that any second eigenfunction of the Laplacian with standard vertex conditions on a metric tree graph attains its extremal values only at degree one vertices, and give an example where these vertices do not realise the diameter of the graph.
Paper Prompts
Sign up for free to create and run prompts on this paper.