Sandpiles on the square lattice
From MaRDI portal
Publication:1737554
DOI10.1007/s00220-019-03408-5zbMath1419.82014arXiv1703.00827OpenAlexW2593732948MaRDI QIDQ1737554
Robert D. Hough, Daniel C. Jerison, Lionel Levine
Publication date: 23 April 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.00827
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)
Related Items (8)
Non-fixation for conservative stochastic dynamics on the line ⋮ A shape theorem for exploding sandpiles ⋮ Universality conjectures for activated random walk ⋮ Cut-off for sandpiles on tiling graphs ⋮ How far do activated random walkers spread from a single source? ⋮ The local limit theorem on nilpotent Lie groups ⋮ Convergence of the random abelian sandpile ⋮ Activated random walk on a cycle
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Abelian sandpiles and the harmonic model
- Potential kernel for two-dimensional random walk
- Growth rates and explosions in sandpiles
- Stabilizability and percolation in the infinite volume sandpile model
- The infinite volume limit of dissipative abelian sandpiles
- Chip-firing games, potential theory on graphs, and spanning trees
- An asymptotic expansion for the discrete harmonic potential
- A chip-firing game and Dirichlet eigenvalues
- Convergence of the abelian sandpile
- Threshold state and a conjecture of Poghosyan, Poghosyan, Priezzhev and Ruelle
- Inequalities for critical exponents in \(d\)-dimensional sandpiles
- Mixing and cut-off in cycle walks
- Infinite volume limit of the abelian sandpile model in dimensions \(d \geq 3\)
- Approaching criticality via the zero dissipation limit in the abelian avalanche model
- Infinite volume limit for the stationary distribution of Abelian sandpile models
- The divisible sandpile at critical density
- Abelian Networks I. Foundations and Examples
- Self-organized criticality
- Asymptotic analysis of a random walk on a hypercube with many dimensions
- Chip-Firing and Rotor-Routing on Directed Graphs
- Self-organized critical state of sandpile automaton models
- Some Halting Problems for Abelian Sandpiles Are Undecidable in Dimension Three
- Time to Reach Stationarity in the Bernoulli–Laplace Diffusion Model
- Algebraic aspects of Abelian sandpile models
- Mixing time and eigenvalues of the abelian sandpile Markov chain
This page was built for publication: Sandpiles on the square lattice
