James Kennedy - Geometric spectral theory of quantum graphs

cm:12380 - Communications in Mathematics, July 18, 2024, Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics) - https://doi.org/10.46298/cm.12380
Geometric spectral theory of quantum graphsArticle

Authors: James Kennedy

    These are lecture notes from a course given at the summer school "Heat kernels and spectral geometry: from manifolds to graphs" in Bregenz, Austria, 2022. They are designed to be accessible to doctoral level students, and include background chapters on Laplacians on domains and quantum graphs before moving on to specialised topics involving the dependence and optimisation of operator eigenvalues on a metric graph in function of the graph geometry, drawn in part from the recent literature.


    Volume: Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics)
    Published on: July 18, 2024
    Accepted on: January 19, 2024
    Submitted on: October 9, 2023
    Keywords: Mathematics - Spectral Theory

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