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An Isaac Newton Institute Workshop

Quantum Graphs, their Spectra and Applications

Singular Spectral Types for Certain Spherically Homogeneous Trees.

Author: Jonathan Breuer (The Hebrew University of Jerusalem)

Abstract

The talk will describe examples of trees for which the Laplacian exhibits `exotic' spectral phenomena. These examples are constructed via a decomposition of the Laplacian as a direct sum of Jacobi matrices.