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Tsallis entropy framework estimates relaxation time in nonextensive financial systems

Method using Euclidean gradient flow on Tsallis entropy to estimate the time required for a nonextensive (power-law, heavy-tailed) financial market to reach equilibrium. Applies to fat-tail regime common in equities and FX.

WHY IT MATTERS

Understanding market relaxation dynamics post-shock (crash, liquidity event) improves VaR backtesting and stress-scenario calibration in risk models that assume non-Gaussian returns.

Source: arXiv · 2026-06-24

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Tsallis entropy framework estimates relaxation time in nonextensive financial systems — ath — AITechHive