On the Truncated Long-Range Percolation on Z2
From MaRDI portal
Publication:5459926
DOI10.1239/jap/1208358969zbMath1136.60371OpenAlexW2121051778MaRDI QIDQ5459926
Artëm Sapozhnikov, Bernardo Nunes Borges de Lima
Publication date: 30 April 2008
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/1208358969
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)
Related Items (3)
Truncated long-range percolation on oriented graphs ⋮ A note on truncated long-range percolation with heavy tails on oriented graphs ⋮ Truncation of long-range percolation model with square non-summable interactions
Cites Work
- The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
- One dimensional \(1/| j-i| ^ s\) percolation models: The existence of a transition for s\(\leq 2\)
- On the continuity of the critical value for long range percolation in the exponential case
- On the truncated anisotropic long-range percolation on \(\mathbb Z^2\)
- Transience, recurrence and critical behavior for long-range percolation
- On long range percolation with heavy tails
- On the truncation of systems with non-summable interactions
- A generalization of McDiarmid's theorem for mixed Bernoulli percolation
- Percolation
- A note on two-dimensional truncated long-range percolation
- Unnamed Item
This page was built for publication: On the Truncated Long-Range Percolation on Z2
