Exact conformally covariant formulas for renormalized CLE4 gasket two-point probabilities are obtained via loop soups and twisted GFFs, matching Ashkin-Teller CFT predictions with modular theta dependence.
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Develops negative-variance Gaussian theory and proves timelike DOZZ formula plus k-point functions for timelike Liouville theory under charge neutrality, with semiclassical limits as coupling goes to zero.
Nonlinear functionals of the discrete GFF with degenerate random conductances on ergodic random subgraphs converge almost surely to continuum counterparts in H^{-s}(D).
Establishes upper and lower heat kernel bounds for √(8/3)-Liouville Brownian motion that are sharp up to polylog factors in the exponential, expressed in terms of the √(8/3)-LQG metric.
citing papers explorer
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Renormalised two-point functions of CLE$_4$ gaskets
Exact conformally covariant formulas for renormalized CLE4 gasket two-point probabilities are obtained via loop soups and twisted GFFs, matching Ashkin-Teller CFT predictions with modular theta dependence.
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Rigorous results for timelike Liouville field theory
Develops negative-variance Gaussian theory and proves timelike DOZZ formula plus k-point functions for timelike Liouville theory under charge neutrality, with semiclassical limits as coupling goes to zero.
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Scaling limits for nonlinear functionals of the discrete Gaussian free field with degenerate random conductances
Nonlinear functionals of the discrete GFF with degenerate random conductances on ergodic random subgraphs converge almost surely to continuum counterparts in H^{-s}(D).
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Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion
Establishes upper and lower heat kernel bounds for √(8/3)-Liouville Brownian motion that are sharp up to polylog factors in the exponential, expressed in terms of the √(8/3)-LQG metric.