Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions
DOI10.4171/AIHPD/95zbMath1454.05043arXiv1807.08748MaRDI QIDQ826442
Publication date: 4 January 2021
Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.08748
self-similarityharmonic measuresandpile grouplimit shapesabelian sandpilesLaplacian growthanalysis on fractalsrotor-router aggregationdivisible sandpilesexact renormalizationinternal diffusion-limited aggregationSierpiński arrowhead curve
Dynamical aspects of cellular automata (37B15) Fractals (28A80) Directed graphs (digraphs), tournaments (05C20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Renewal theory (60K05) Random walks on graphs (05C81) Group actions on combinatorial structures (05E18)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Apollonian structure in the abelian sandpile
- Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets
- From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
- Sublogarithmic fluctuations for internal DLA
- Internal aggregation models on comb lattices
- Mean value properties of harmonic functions on Sierpinski gasket type fractals
- Boundary value problems for a family of domains in the Sierpinski gasket
- Tropical curves in sandpiles
- Scaling limits for internal aggregation models with multiple sources
- Containing internal diffusion limited aggregation
- Spanning trees on the Sierpinski gasket
- Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits
- Smith normal form and Laplacians
- Growth rates and explosions in sandpiles
- Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile
- The sandpile group of a tree
- Internal diffusion limited aggregation
- Correlation inequalities on some partially ordered sets
- Chip-firing and the critical group of a graph
- Some properties of Laplacians on fractals
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- Regularized Laplacian determinants of self-similar fractals
- Sandpile models
- Waves in the sandpile model on fractal lattices
- On the identity of the sandpile group
- Subdiffusive fluctuations for internal diffusion limited aggregation
- Convergence of the abelian sandpile
- The abelian sandpile model on randomly rooted graphs and self-similar groups
- Stability of patterns in the abelian sandpile
- The Apollonian structure of integer superharmonic matrices
- Internal DLA and the Gaussian free field
- Abelian Networks I. Foundations and Examples
- Counting spanning trees on fractal graphs and their asymptotic complexity
- Primer for the algebraic geometry of sandpiles
- Fast Simulation of Large-Scale Growth Models
- Self-organized criticality
- Logarithmic fluctuations for internal DLA
- Internal DLA on Sierpinski Gasket Graphs
- Deterministic Abelian Sandpile and Square-Triangle Tilings
- Chip-Firing and Rotor-Routing on Directed Graphs
- Brownian motion on nested fractals
- Self-organized critical state of sandpile automaton models
- Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals
- DIVISIBLE SANDPILE ON SIERPINSKI GASKET GRAPHS
- Laplacian growth, sandpiles, and scaling limits
- Structure of spanning trees on the two-dimensional Sierpinski gasket
- Fluctuations for internal DLA on the comb
This page was built for publication: Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions
