connecting dots between mathematics, machines, and the mind.

III/ A Ghost in the Machine

uncovering how a single spectral outlier eigenvalue can rise above chaotic bulk dynamics in recurrent neural networks, creating a clean computational channel hidden inside disorder.
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II / The Slow Art of Fast Mixing

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