Multitype threshold growth: Convergence to Poisson-Voronoi tessellations
From MaRDI portal
Publication:1370996
DOI10.1214/aoap/1034801246zbMath0892.60096OpenAlexW2084006885MaRDI QIDQ1370996
Janko Gravner, David Griffeath
Publication date: 11 December 1997
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1034801246
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Orthogonal arrays, Latin squares, Room squares (05B15)
Related Items
The boundary of iterates in Euclidean growth models, Random growth models with polygonal shapes, Bond percolation with attenuation in high dimensional VoronoiÌ tilings, Cellular automaton growth on \(\mathbb{Z}^2\): Theorems, examples, and problems, Bootstrap percolation in a polluted environment
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- First passage times for threshold growth dynamics on \(\mathbb{Z}^ 2\)
- On the geometry of Minkowski planes
- Two moments suffice for Poisson approximations: The Chen-Stein method
- Multicolor particle systems with large threshold and range
- An introduction to the theory of point processes
- On convergence of configurations
- Conformal invariance of Voronoi percolation
- Metastability in the Greenberg-Hastings model
- Lectures on random Voronoi tessellations
- Fixation results for threshold voter systems
- On the Convergence in Distribution of Measurable Multifunctions (Random Sets) Normal Integrands, Stochastic Processes and Stochastic Infima
- On the Convergence of Closed-Valued Measurables Multifunctions
- Quantitative Stability of Variational Systems: I. The Epigraphical Distance
- Discrete threshold growth dynamics are omnivorous for box neighborhoods
- Threshold Growth Dynamics
- Asymptotic Behavior of Excitable Cellular Automata
- Nucleation Parameters for Discrete Threshold Growth on Z2
