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.
A Spectral Condition for Spectral Gap: Fast Mixing in High-Temperature
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Proves log-Sobolev inequality with explicit constant for Wolff dynamics on 1D Ising model and confirms its use in spectral analysis of eigen microstate condensation matches simulations.
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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.
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Log-Sobolev Inequality for Wolff Dynamics and Application to the Condensation of Eigen Microstate in the 1D Ising Model
Proves log-Sobolev inequality with explicit constant for Wolff dynamics on 1D Ising model and confirms its use in spectral analysis of eigen microstate condensation matches simulations.