Answer‑distribution trajectories are a stochastic‑dynamics representation that tracks a model’s full predictive distribution over answers throughout the reasoning process, offering a finer view than endpoint accuracy or entropy profiles.
Entropy profiles capture uncertainty but not the competing hypotheses behind it. Answer‑distribution trajectories record the entire answer distribution at each reasoning step, revealing how hypotheses rise and fall. This enables classification of reasoning phases such as exploration, revision, motion, and commitment. Researchers can now distinguish distinct dynamical mechanisms underlying LLM reasoning.






