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Author Topic: [Research] ART-2D: Using Langevin Dynamics to model crypto collapse (Terra/Luna  (Read 12 times)
asmyros (OP)
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December 07, 2025, 11:08:39 PM
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Hello everyone,

I’ve been working on a new mathematical framework for systemic risk, moving away from traditional VaR models towards a physics-based approach (Langevin Dynamics).

The model, ART-2D (2D Asymmetric Risk Theory), treats risk as a conserved vector field.

Relevance to Crypto:
The model identifies a deterministic phase transition threshold (Sigma = 0.75). When I backtested this on the Terra/Luna collapse data, the indicator crossed the critical red line 5 days before the de-peg.

This suggests that "algorithmic stability" isn't just about code, but about thermodynamic limits of liquidity.

The Paper (Open Access PDF):
https://doi.org/10.5281/zenodo.17805937

I’m an independent researcher and this work is self-funded. If you find the math useful for your own trading or research, I’d appreciate any support to keep the lights on.

Support the Research:
BTC: 1CSPztph113vn2xm9aypXyiDNwzaUgKsVa
ETH: 0x8014771dbeAE5b046541b3C07e2EB2cA489C7b78

Looking forward to your feedback on the "Informational Asymmetry" derivation.
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