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math.DS2025
Can LLMs Write Mathematics Papers? A Case Study in Reservoir Computing
Allen G Hart
As AI capabilities continue to grow exponentially on economically relevant human expert tasks, with task completion horizons doubling every 7 months according to the Model Evaluati…
math.DS2025
Generic and Isometric Embeddings in Reservoir Computers
Allen G Hart
We prove that a generic reservoir system admits a generalized synchronization that is a topological embedding of the input system's attractor. We also prove that for sufficiently h…