The maximum of the four-dimensional membrane model
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Publication:2179595
DOI10.1214/19-AOP1372zbMath1462.60047arXiv1903.02522OpenAlexW3018372592MaRDI QIDQ2179595
Publication date: 13 May 2020
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02522
Random fields (60G60) Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
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- Convergence in law of the minimum of a branching random walk
- High points for the membrane model in the critical dimension
- Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
- Critical Gaussian multiplicative chaos: convergence of the derivative martingale
- Extremes of some Gaussian random interfaces
- Recursions and tightness for the maximum of the discrete, two dimensional Gaussian free field
- Convergence of the centered maximum of log-correlated Gaussian fields
- Maximum of a log-correlated Gaussian field
- Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension
- Spectral theory and complex interpolation
- Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field
- Entropic repulsion and the maximum of the two-dimensional harmonic crystal.
- On the maximum of the C\(\beta\)E field
- The scaling limit of the membrane model
- Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction
- Regularity of solutions to the polyharmonic equation in general domains
- Asymptotic expansions of Fourier transforms and discrete polyharmonic Green's functions
- Extreme local extrema of two-dimensional discrete Gaussian free field
- Estimates for the Green's function of the discrete Bilaplacian in dimensions 2 and 3
- Extremes of the supercritical Gaussian Free Field
- Tightness of the recentered maximum of the two-dimensional discrete Gaussian free field
- Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Optimal-Order Finite Difference Approximation of Generalized Solutions to the Biharmonic Equation in a Cube
- Analysis of Finite Difference Schemes
