Introduces slowed-down Gaussian fields (including 1D branching Brownian motions in cooling environments) and proves tightness of maxima with growth T^{1-α} and phase transition at α=1/3.
Convergence in law of the maximum of the two-dimensional discrete Gaussian free field
2 Pith papers cite this work. Polarity classification is still indexing.
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The semiflexible membrane model shows DGFF-like covariance for λ<0, rescaled MM-like for λ>2, and a distinct microscopic crossover regime with logarithmic coefficient for λ in [0,2].
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Extrema of microscopically slowed-down Gaussian fields
Introduces slowed-down Gaussian fields (including 1D branching Brownian motions in cooling environments) and proves tightness of maxima with growth T^{1-α} and phase transition at α=1/3.
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Phase Transition of a Semiflexible Membrane in Two Dimensions
The semiflexible membrane model shows DGFF-like covariance for λ<0, rescaled MM-like for λ>2, and a distinct microscopic crossover regime with logarithmic coefficient for λ in [0,2].