I am an aspiring physicist connecting dots between mathematics, machines, and the mind. This blog is a collection of those dots.
A closer look at canonical path theory, the justification for rapid mixing in high-dimensional Markov chains.
Read more →
Tracing the shared formalism between classical random walks and quantum evolution on graphs, revealing how diffusion and interference arise from a common linear backbone. Read more →
Outlining my self-study of physics-informed neural networks (PINNs), a method at the intersection of physics and machine learning for analyzing partial differential equations. Read more →
A proof outlining the strictly increasing behavior of a fundamental sequence encountered in undergraduate real analysis.
Read more →