Poisson percolation on the oriented square lattice
Publication
, Journal Article
Cristali, I; Junge, M; Durrett, R
Published in: Stochastic Processes and their Applications
February 1, 2020
In Poisson percolation each edge becomes open after an independent exponentially distributed time with rate that decreases in the distance from the origin. As a sequel to our work on the square lattice, we describe the limiting shape of the component containing the origin in the oriented case. We show that the density of occupied sites at height y in the cluster is close to the percolation probability in the corresponding homogeneous percolation process, and we study the fluctuations of the boundary.
Duke Scholars
Published In
Stochastic Processes and their Applications
DOI
ISSN
0304-4149
Publication Date
February 1, 2020
Volume
130
Issue
2
Start / End Page
488 / 502
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cristali, I., Junge, M., & Durrett, R. (2020). Poisson percolation on the oriented square lattice. Stochastic Processes and Their Applications, 130(2), 488–502. https://doi.org/10.1016/j.spa.2019.01.005
Cristali, I., M. Junge, and R. Durrett. “Poisson percolation on the oriented square lattice.” Stochastic Processes and Their Applications 130, no. 2 (February 1, 2020): 488–502. https://doi.org/10.1016/j.spa.2019.01.005.
Cristali I, Junge M, Durrett R. Poisson percolation on the oriented square lattice. Stochastic Processes and their Applications. 2020 Feb 1;130(2):488–502.
Cristali, I., et al. “Poisson percolation on the oriented square lattice.” Stochastic Processes and Their Applications, vol. 130, no. 2, Feb. 2020, pp. 488–502. Scopus, doi:10.1016/j.spa.2019.01.005.
Cristali I, Junge M, Durrett R. Poisson percolation on the oriented square lattice. Stochastic Processes and their Applications. 2020 Feb 1;130(2):488–502.
Published In
Stochastic Processes and their Applications
DOI
ISSN
0304-4149
Publication Date
February 1, 2020
Volume
130
Issue
2
Start / End Page
488 / 502
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics