Liouville measure as a multiplicative cascade via level sets of the Gaussian free field
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Publication:2184854
DOI10.5802/aif.3312zbMath1444.60039arXiv1701.05872OpenAlexW3097984013MaRDI QIDQ2184854
Juhan Aru, Ellen Powell, Avelio Sepúlveda
Publication date: 2 June 2020
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05872
Liouville measureGaussian free fieldGaussian multiplicative chaosmultiplicative cascadescritical Gaussian multiplicative chaos
Random fields (60G60) Geometric probability and stochastic geometry (60D05) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions, Critical Brownian multiplicative chaos, Reconstructing the base field from imaginary multiplicative chaos, On thin local sets of the Gaussian free field
Cites Work
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- Liouville quantum gravity on the Riemann sphere
- On Gaussian multiplicative chaos
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- A contour line of the continuum Gaussian free field
- Critical Gaussian multiplicative chaos: convergence of the derivative martingale
- Uniqueness of critical Gaussian chaos
- Survival of branching random walks with absorption
- Liouville quantum gravity and KPZ
- Conformal radii for conformal loop ensembles
- The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos -- the \(L^2\)-phase
- First order transition for the branching random walk at the critical parameter
- Gaussian multiplicative chaos revisited
- On a functional central limit theorem for random walks conditioned to stay positive
- Martingale convergence and the stopped branching random walk
- Liouville quantum gravity on the unit disk
- Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines
- Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation
- First passage sets of the 2D continuum Gaussian free field
- The first passage sets of the 2D Gaussian free field: convergence and isomorphisms
- On thin local sets of the Gaussian free field
- The Seneta-Heyde scaling for the branching random walk
- Renormalization of critical Gaussian multiplicative chaos and KPZ relation
- An elementary approach to Gaussian multiplicative chaos
- Critical Liouville measure as a limit of subcritical measures
- LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
- On the Asymptotic Behavior of the Probability of Non-Extinction for Critical Branching Processes in a Random Environment
- ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD
- Gaussian multiplicative chaos and Liouville quantum gravity
- Probability
