For large area-tilt strength lambda, correlations in the infinite lambda-tilted line ensemble decay exponentially in time, and the finite-line diffusion has a uniformly positive spectral gap.
Characterizing Gibbs states for area-tilted Brownian lines.The Annals of Probability, 53(6):2196–2255, 2025
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Correlation decay in area-tilted line ensembles
For large area-tilt strength lambda, correlations in the infinite lambda-tilted line ensemble decay exponentially in time, and the finite-line diffusion has a uniformly positive spectral gap.