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- W4287663741 abstract "For $0<beta<6pi$, we prove that the distribution of the centred maximum of the $epsilon$-regularised continuum sine-Gordon field on the two-dimensional torus converges to a randomly shifted Gumbel distribution as $epsilon to 0$. Our proof relies on a strong coupling at all scales of the sine-Gordon field with the Gaussian free field, of independent interest, and extensions of existing methods for the maximum of the lattice Gaussian free field." @default.
- W4287663741 created "2022-07-25" @default.
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- W4287663741 date "2020-09-21" @default.
- W4287663741 modified "2023-10-17" @default.
- W4287663741 title "Maximum and coupling of the sine-Gordon field" @default.
- W4287663741 doi "https://doi.org/10.1214/21-aop1537" @default.
- W4287663741 hasPublicationYear "2020" @default.
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