Research Mentor(s)
Sarkar, Amites
Description
Studying vibrations on networks helps inform our understanding of random processes on other networks with similar geometry. We discuss two physical models to build up intuition about their eigenvectors. We conclude with a hidden connection between the rate of convergence of random walks, and the ground state energies of molecules.
Document Type
Event
Start Date
15-5-2019 9:00 AM
End Date
15-5-2019 5:00 PM
Location
Carver Gym (Bellingham, Wash.)
Department
Mathematics
Genre/Form
student projects, posters
Subjects – Topical (LCSH)
Graph theory; Laplacian matrices; Vibration
Type
Image
Keywords
Spectral Graph Theory, Discrete Laplacian
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Included in
Vibrations on Networks
Carver Gym (Bellingham, Wash.)
Studying vibrations on networks helps inform our understanding of random processes on other networks with similar geometry. We discuss two physical models to build up intuition about their eigenvectors. We conclude with a hidden connection between the rate of convergence of random walks, and the ground state energies of molecules.