The Minkowski content measure for the Liouville quantum gravity metric
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Publication:6151953
DOI10.1214/23-aop1667arXiv2211.04701OpenAlexW4392466221MaRDI QIDQ6151953
Publication date: 11 March 2024
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.04701
Geometric probability and stochastic geometry (60D05) Random measures (60G57) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Cites Work
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- Imaginary geometry. I: Interacting SLEs
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
- Gaussian multiplicative chaos and applications: a review
- Liouville quantum gravity and KPZ
- The covariant measure of SLE on the boundary
- A natural parametrization for the Schramm-Loewner evolution
- Confluence of geodesics in Liouville quantum gravity for \(\gamma \in (0,2)\)
- A mating-of-trees approach for graph distances in random planar maps
- Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\)
- Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line
- Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
- Brownian motion correlation in the peanosphere for \(\kappa>8\)
- The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
- Natural parametrization of SLE: the Gaussian free field point of view
- Local metrics of the Gaussian free field
- Conformal covariance of the Liouville quantum gravity metric for \(\gamma\in (0,2)\)
- Volume of metric balls in Liouville quantum gravity
- Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
- Minkowski content of Brownian cut points
- The volume measure of the Brownian sphere is a Hausdorff measure
- Boundary Green's functions and Minkowski content measure of multi-force-point SLE\(_\kappa (\underline{\rho})\)
- An almost sure KPZ relation for SLE and Brownian motion
- Weak LQG metrics and Liouville first passage percolation
- Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\)
- Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
- The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity
- Heat kernel for Liouville Brownian motion and Liouville graph distance
- Minkowski content and natural parameterization for the Schramm-Loewner evolution
- Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
- An elementary approach to Gaussian multiplicative chaos
- Gaussian free fields for mathematicians
- Liouville quantum gravity and the Brownian map. III: The conformal structure is determined
- Geodesic networks in Liouville quantum gravity surfaces
- The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding
- Sur certaines fonctionnelles exponentielles du mouvement brownien réel
- Liouville quantum gravity as a mating of trees
- KPZ formulas for the Liouville quantum gravity metric
- Percolation on uniform quadrangulations and SLE$_6$ on $\sqrt{8/3}$-Liouville quantum gravity
- LIOUVILLE QUANTUM GRAVITY AS A METRIC SPACE AND A SCALING LIMIT
- Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
- Random Surfaces and Liouville Quantum Gravity
- Brownian Motion
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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