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

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May 15th, 9:00 AM May 15th, 5:00 PM

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.

 

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