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math-ph2026
Tensor network manifolds and Riemannian fundamental theorem for tensor networks
Pablo Páez-Velasco
Tensor networks provide a powerful framework for efficiently representing high-dimensional data and many-body quantum states. Endowing tensor networks with a Riemannian manifold st…
math-ph2026
Rapid mixing for Gibbs measures in Riemannian manifolds
Ángela Capel, Marco Castrillón-López, Sofyan Iblisdir +3
Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identi…