blog — aniket deshpande

[iii] a ghost in the machine

uncovering how spectral outliers from low-rank structure rise above chaotic bulk dynamics in recurrent neural networks, and how these isolated eigenvalues can serve as early-warning signals for bifurcations in driven systems.

[ii] the slow art of fast mixing

a closer look at canonical path theory, the justification for rapid mixing in high-dimensional Markov chains.

[i] walking the quantum line

tracing the shared formalism between classical random walks and quantum evolution on graphs, revealing how diffusion and interference arise from a common linear backbone.