Integer superharmonic matrices on the \(F\)-lattice
DOI10.1016/j.aim.2023.109400arXiv2110.07556OpenAlexW3206481849MaRDI QIDQ6142424
Publication date: 21 December 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.07556
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Planar graphs; geometric and topological aspects of graph theory (05C10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamic critical phenomena in statistical mechanics (82C27) Viscosity solutions to PDEs (35D40)
Cites Work
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- Apollonian structure in the abelian sandpile
- The sensual Apollonian circle packing
- Apollonian circle packings: Geometry and group theory. I: The Apollonian group
- Pattern formation in growing sandpiles with multiple sources or sinks
- On translating one polyomino to tile the plane
- Sandpile models
- On the identity of the sandpile group
- Patterns formed by addition of grains to only one site of an Abelian sandpile
- Convergence of the abelian sandpile
- Convergence of the random abelian sandpile
- The sandpile identity element on an ellipse
- Stability of patterns in the abelian sandpile
- The Apollonian structure of integer superharmonic matrices
- A sandpile model for proportionate growth
- Chip-Firing and Rotor-Routing on Directed Graphs
- Course 14 Mathematical aspects of the Abelian Sandpile model
- Self-organized critical state of sandpile automaton models
- The Group of Rational Points on the Unit Circle
- Explicit characterization of the identity configuration in an Abelian sandpile model
- On superintegral Kleinian sphere packings, bugs, and arithmetic groups
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