Graph Theory

Reinforcement learning for power systems control

Adaptive topology control in power systems using reinforcement learning and spectral clustering.

Algorithms and optimization for power systems reliability

Understanding the fundamental interplay between network topology and failure propagation in power systems using graph theory and spectral methods

Asymptotic behavior of interacting particle systems

Hitting and mixing times of finite volume interacting particle systems with stochastic evolutions

Random-access networks

Quantifying throughput and delay performance of wireless networks protocols using Markov chains and heavy-traffic limits.