The Links-Gould polynomial distinguishes every Allen-Swenberg link AS(n) from the causally unrelated unlink, where the Alexander-Conway polynomial fails.
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Polynomial-time algorithm samples the Sherrington-Kirkpatrick Gibbs measure at beta < 1/2 with o(1) TVD error by combining potential Hessian ascent, stochastic localization, covariance estimates, and Jarzynski equality with rejection sampling.
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Detecting Causality with the Links--Gould Polynomial
The Links-Gould polynomial distinguishes every Allen-Swenberg link AS(n) from the causally unrelated unlink, where the Alexander-Conway polynomial fails.
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Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2
Polynomial-time algorithm samples the Sherrington-Kirkpatrick Gibbs measure at beta < 1/2 with o(1) TVD error by combining potential Hessian ascent, stochastic localization, covariance estimates, and Jarzynski equality with rejection sampling.