A characterisation of the Gaussian free field
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Publication:2174671
DOI10.1007/s00440-019-00939-9zbMath1434.60271arXiv1802.01195OpenAlexW3125364953MaRDI QIDQ2174671
Ellen Powell, Gourab Ray, Nathanaël Berestycki
Publication date: 21 April 2020
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.01195
Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Related Items (5)
A characterisation of the continuum Gaussian free field in arbitrary dimensions ⋮ Random walks on mated-CRT planar maps and Liouville Brownian motion ⋮ Equivalence of Liouville measure and Gaussian free field ⋮ Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field ⋮ \((1+\varepsilon)\) moments suffice to characterise the GFF
Cites Work
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- Liouville quantum gravity on the Riemann sphere
- Fractional Brownian motion with Hurst index \({H = 0}\) and the Gaussian unitary ensemble
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- A contour line of the continuum Gaussian free field
- Contour lines of the two-dimensional discrete Gaussian free field
- Liouville quantum gravity and KPZ
- Fluctuations for the Ginzburg-Landau \(\nabla \phi\) interface model on a bounded domain
- The conformal loop ensemble nesting field
- Scaling limits of loop-erased random walks and uniform spanning trees
- The DOZZ formula from the path integral
- Level lines of the Gaussian free field with general boundary data
- Dominos and the Gaussian free field.
- Equilibrium fluctuations for \(\nabla\varphi\) interface model
- Dimers and imaginary geometry
- Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
- Planar Ising magnetization field. I: Uniqueness of the critical scaling limit
- Asymptotics of height change on toroidal Temperleyan dimer models
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- Critical exponents on Fortuin-Kasteleyn weighted planar maps
- Markovian bridges: weak continuity and pathwise constructions
- Harnesses, Lévy bridges and Monsieur Jourdain
- Gaussian free fields for mathematicians
- SLE and the free field: Partition functions and couplings
- ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD
- Liouville quantum gravity as a mating of trees
- Dimers and families of Cauchy-Riemann operators I
- The Noise in the Circular Law and the Gaussian Free Field
- On the characteristic polynomial of a random unitary matrix
- Planar Ising magnetization field. II: Properties of the critical and near-critical scaling limits
- Fractional Gaussian fields: a survey
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