On intermediate level sets of two-dimensional discrete Gaussian free field
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Publication:2291962
DOI10.1214/18-AIHP939zbMath1456.60082arXiv1612.01424OpenAlexW3102638481MaRDI QIDQ2291962
Publication date: 31 January 2020
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.01424
Gaussian processes (60G15) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- On Gaussian multiplicative chaos
- Imaginary geometry. I: Interacting SLEs
- Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\)
- Gaussian multiplicative chaos and applications: a review
- Contour lines of the two-dimensional discrete Gaussian free field
- Liouville quantum gravity and KPZ
- Recursions and tightness for the maximum of the discrete, two dimensional Gaussian free field
- Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\)
- First order transition for the branching random walk at the critical parameter
- Thick points of the Gaussian free field
- Exploration trees and conformal loop ensembles
- Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian free field
- Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
- Entropic repulsion and the maximum of the two-dimensional harmonic crystal.
- Conformal loop ensembles: the Markovian characterization and the loop-soup construction
- Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
- Maximum of the Ginzburg-Landau fields
- Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field
- Extremes of the discrete two-dimensional Gaussian free field
- Renormalization of critical Gaussian multiplicative chaos and KPZ relation
- Maximum and minimum of local times for two-dimensional random walk
- An elementary approach to Gaussian multiplicative chaos
- Extreme local extrema of two-dimensional discrete Gaussian free field
- Critical Liouville measure as a limit of subcritical measures
- Tightness of the recentered maximum of the two-dimensional discrete Gaussian free field
- Extrema of the Two-Dimensional Discrete Gaussian Free Field
- Convergence in Law of the Maximum of the Two‐Dimensional Discrete Gaussian Free Field
