Add Phase Transitions in LLMs and the O(N) model - #71
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Adds "Phase Transitions in Large Language Models and the O(N) Model" (arXiv:2501.16241) to Analysis → 2025.
The paper casts the Transformer as a statistical-physics O(N) model and identifies two phase transitions in LLMs. A second-order transition at sampling temperature T_c≈1.2 yields an effective internal dimension d≈6. A higher-order transition at parameter count P_c≈7B gives new evidence for emergent abilities. The direct neighbor in the section is "Emergent Abilities of Large Language Models", already listed.