Metric growth dynamics in Liouville quantum gravity
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Publication:6040877
DOI10.1007/s00220-022-04625-1zbMath1525.60020arXiv2112.13933OpenAlexW4313641232MaRDI QIDQ6040877
Publication date: 22 May 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.13933
Random fields (60G60) Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantization of the gravitational field (83C45) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Cites Work
- Unnamed Item
- Unnamed Item
- Liouville quantum gravity on the Riemann sphere
- On Gaussian multiplicative chaos
- Imaginary geometry. I: Interacting SLEs
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- Uniqueness and universality of the Brownian map
- The Brownian map is the scaling limit of uniform random plane quadrangulations
- Random conformal weldings
- Critical Gaussian multiplicative chaos: convergence of the derivative martingale
- Regularization by noise and stochastic Burgers equations
- Quantum Loewner evolution
- Fluctuation results for Hastings-Levitov planar growth
- Dirichlet forms and symmetric Markov processes.
- Contour lines of the two-dimensional discrete Gaussian free field
- Liouville quantum gravity and KPZ
- The dimension of the boundary of a Liouville quantum gravity metric ball
- Confluence of geodesics in Liouville quantum gravity for \(\gamma \in (0,2)\)
- Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\)
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Uniform infinite planar triangulations
- Growth and percolation on the uniform infinite planar triangulation
- Scaling limits of loop-erased random walks and uniform spanning trees
- Liouville quantum gravity on the unit disk
- Stability of geodesics in the Brownian map
- Dominos and the Gaussian free field.
- Hadamard's formula and couplings of SLEs with free field
- The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
- Carathéodory convergence and harmonic measure
- Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus
- Volume of metric balls in Liouville quantum gravity
- Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
- The infinitesimal generator of the stochastic Burgers equation
- Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\)
- The Gaussian free field and Hadamard's variational formula
- Brownian geometry
- Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
- Dynamical Liouville
- Integrability of Liouville theory: proof of the DOZZ formula
- Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
- Heat kernel for Liouville Brownian motion and Liouville graph distance
- Comparison of discrete and continuum Liouville first passage percolation
- Polyakov's formulation of \(2d\) bosonic string theory
- Liouville quantum gravity spheres as matings of finite-diameter trees
- Percolations on random maps. I: Half-plane models
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- The topological structure of scaling limits of large planar maps
- Two perspectives of the 2D unit area quantum sphere and their equivalence
- Nonlinear fluctuations of weakly asymmetric interacting particle systems
- An introduction to infinite-dimensional analysis
- A glimpse of the conformal structure of random planar maps
- An elementary approach to Gaussian multiplicative chaos
- Gaussian free fields for mathematicians
- The Loewner and Hadamard variations
- An axiomatic characterization of the Brownian map
- Liouville quantum gravity and the Brownian map. III: The conformal structure is determined
- Geodesic networks in Liouville quantum gravity surfaces
- Brownian Motion, Martingales, and Stochastic Calculus
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- SLE and the free field: Partition functions and couplings
- Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity
- LIOUVILLE QUANTUM GRAVITY AS A METRIC SPACE AND A SCALING LIMIT
- First-passage percolation and local modifications of distances in random triangulations
