Speaker: Jason Harmon (UCF, Mathematics Department)
Title: Diffusion in systems of colliding particles
Abstract: The Laplacian is a matrix representation of a graph of nodes. Properties of the Laplacian are useful for graph theory and for multi-patch population models in mathematical epidemiology. The Matrix Group inverse is a specific case of the Drazin inverse that, due to it preserving eigenvalues/vectors, is useful for calculating the eigenvalues/vectors for perturbation matrices of the Laplacian.
This talk will go over general properties of group inverse and methods of calculating group inverse. We will also use some tools for finding group inverses and applying them to find the group inverse of the Laplacians for the complete, star, cycle and path graphs.
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