Joint stochastic localization induces a new family of sampling-based distances between probability measures, including a 0-distance topologically equivalent to the 2-Wasserstein distance on compactly supported measures.
A spectral condition for spectral gap: fast mixing in high-temperature Ising models
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Joint stochastic localization and applications
Joint stochastic localization induces a new family of sampling-based distances between probability measures, including a 0-distance topologically equivalent to the 2-Wasserstein distance on compactly supported measures.