Internal DLA and the Gaussian free field
From MaRDI portal
Publication:2441491
DOI10.1215/00127094-2430259zbMath1296.60113arXiv1101.0596OpenAlexW3104501757MaRDI QIDQ2441491
Scott Sheffield, Lionel Levine, David S. Jerison
Publication date: 24 March 2014
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.0596
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)
Related Items
Formation of an interface by competitive erosion ⋮ Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions ⋮ Border aggregation model ⋮ Competitive erosion is conformally invariant ⋮ Internal diffusion-limited aggregation with uniform starting points ⋮ Formation of large-scale random structure by competitive erosion ⋮ Scaling limits of fluctuations of extended-source internal DLA ⋮ Properties of the gradient squared of the discrete Gaussian free field ⋮ The bi-dimensional directed IDLA forest ⋮ Harmonic functions on the lattice: absolute monotonicity and propagation of smallness ⋮ Models of random subtrees of a graph ⋮ Internal DLA on cylinder graphs: fluctuations and mixing ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Relative Manin–Mumford for Semi-Abelian Surfaces ⋮ Lower bounds on fluctuations for internal DLA ⋮ Fluctuation results for Hastings-Levitov planar growth ⋮ The limiting shape for drifted internal diffusion limited aggregation is a true heat ball ⋮ From fractals in external DLA to internal DLA on fractals ⋮ Discrete Hilbert transform à la Gundy–Varopoulos ⋮ Fast Simulation of Large-Scale Growth Models ⋮ How long does it take for internal DLA to forget its initial profile? ⋮ Logarithmic fluctuations for internal DLA
Cites Work
- From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
- Sublogarithmic fluctuations for internal DLA
- Internal DLA in higher dimensions
- Scaling limits for internal aggregation models with multiple sources
- Liouville quantum gravity and KPZ
- Basic properties of discrete analytic functions
- Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
- Internal diffusion limited aggregation
- Correlation inequalities on some partially ordered sets
- Dependent central limit theorems and invariance principles
- Lower bounds on fluctuations for internal DLA
- Conformal and potential analysis in Hele-Shaw cells.
- Gaussian free fields for mathematicians
- Fast Simulation of Large-Scale Growth Models
- Logarithmic fluctuations for internal DLA
- Stochastic comparison of point random fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item