Electrical & Computer Engin 697SM - ST-Stochastic Meth/Dense Ntwks

Tools and topics include stochastic differential equations for sample path analysis of random walks, partial differential equations for the density evolution, differential operator eigen analysis, transient vs. steady state behavior of random walks on dense networks, mathematical understanding of shapes and concepts, random networks, power laws and their mechanisms, brain network modeling and simulation, network models, for syneasthesia and implications, brain like creative searching models.

Open to Graduate students only. Good knowledge of ordinary differential equations and stochastic processes. Familiarity with linear algebra concepts are essential.

Undergraduate students need Instructor's approval.