Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Explores the concept of scrambling in quantum chaotic systems, connecting classical chaos to quantum chaos and emphasizing sensitivity to initial conditions.
Introduces mathematical tools for communication systems and data science, focusing on stochastic processes and preparing students for advanced courses.
Explores communicating classes in Markov chains, distinguishing between transient and recurrent classes, and delves into the properties of these classes.
Explores neurobiological signal processing, covering spike modeling, signal classification, and data characterization using principal component analysis.
Covers side-channel analysis of isogeny-based key encapsulation mechanisms and hash-based digital signatures, focusing on vulnerabilities and security measures in cryptographic systems.