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New research details rapid mixing for Gibbs measures in Riemannian manifolds

By PulseAugur Editorial · [2 sources] ·

Researchers have identified conditions for rapid mixing of Gibbs measures in Riemannian manifolds, a key aspect of Langevin dynamics. The study focuses on manifold curvature, temperature, and avoiding local minima to achieve polynomial mixing times. This work establishes a relationship between Langevin processes in different domains, which may have broader applications. AI

RANK_REASON The cluster contains an academic paper published on arXiv. [lever_c_demoted from research: ic=2 ai=0.4]

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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · \'Angela Capel, Marco Castrill\'on-L\'opez, Sofyan Iblisdir, Angelo Lucia, Pablo P\'aez-Velasco, David P\'erez-Garc\'ia ·

    Rapid mixing for Gibbs measures in Riemannian manifolds

    arXiv:2606.13453v1 Announce Type: cross Abstract: Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identified. These conditions involve the curvature of th…

  2. arXiv stat.ML TIER_1 English(EN) · David Pérez-García ·

    Rapid mixing for Gibbs measures in Riemannian manifolds

    Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identified. These conditions involve the curvature of the manifold, the inverse temperature, escaping dire…

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