Internal DLA on mated-CRT maps

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)

Cites Work

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Liouville Brownian motion
Uniqueness and universality of the Brownian map
The Brownian map is the scaling limit of uniform random plane quadrangulations
From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
Sublogarithmic fluctuations for internal DLA
Internal DLA in higher dimensions
Internal aggregation models on comb lattices
Diffusion in planar Liouville quantum gravity
Quantum gravity and inventory accumulation
Scaling limits for the peeling process on random maps
Scaling limits for internal aggregation models with multiple sources
Liouville quantum gravity and KPZ
IDLA on the supercritical percolation cluster
Containing internal diffusion limited aggregation
Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\)
Internal diffusion limited aggregation on discrete groups having exponential growth
Bijective counting of tree-rooted maps and shuffles of parenthesis systems
Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
Internal diffusion-limited aggregation on non-amenable graphs
Solutions to the obstacle problem as Green potentials
Internal diffusion limited aggregation
Growth and percolation on the uniform infinite planar triangulation
Liouville quantum gravity on the unit disk
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
Subdiffusive fluctuations for internal diffusion limited aggregation
Convergence of the abelian sandpile
Local metrics of the Gaussian free field
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
Convergence of the random abelian sandpile
An invariance principle for ergodic scale-free random environments
Internal diffusion-limited aggregation with uniform starting points
Internal DLA on cylinder graphs: fluctuations and mixing
Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\)
The limiting shape for drifted internal diffusion limited aggregation is a true heat ball
Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
How long does it take for internal DLA to forget its initial profile?
Harmonic functions on mated-CRT maps
Basic properties of SLE
Internal DLA and the Gaussian free field
The art of random walks.
The divisible sandpile at critical density
Random walks on mated-CRT planar maps and Liouville Brownian motion
Probability on Trees and Networks
Logarithmic fluctuations for internal DLA
Internal DLA for cylinders
Internal DLA on Sierpinski Gasket Graphs
Random Walk: A Modern Introduction
KPZ formula for log-infinitely divisible multifractal random measures
DIVISIBLE SANDPILE ON SIERPINSKI GASKET GRAPHS
Liouville quantum gravity as a mating of trees
Odometers of Divisible Sandpile Models: Scaling Limits, iDLA and Obstacle Problems. A Survey
Random Surfaces and Liouville Quantum Gravity
On the Enumeration of Tree-Rooted Maps
Fluctuations for internal DLA on the comb
Convergence of uniform triangulations under the Cardy embedding
Peeling Random Planar Maps
Scaling limits of fluctuations of extended-source internal DLA
What is a random surface?

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