392 citations
- University of AmsterdamNL23 papers
- National Institute for Subatomic PhysicsNL12 papers
- Argonne National LaboratoryUS11 papers
- A. Alikhanyan National LaboratoryAM10 papers
- Massachusetts Institute of TechnologyUS8 papers
- University of Colorado BoulderUS8 papers
- Hampton UniversityUS7 papers
- Thomas Jefferson National Accelerator FacilityUS7 papers
- University of Illinois Urbana-ChampaignUS7 papers
- University of MichiganUS7 papers
- University of VirginiaUS7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
4 papers · 2 filters
Large-N Limit of Crossing Probabilities, Discontinuity, and Asymptotic Behavior of Threshold Values in Mandelbrot's Fractal Percolation Process
Erik I. Broman, Federico Camia
We study Mandelbrot's percolation process in dimension . The process generates random fractal sets by an iterative procedure which starts by dividing the unit cube $[0,1]…
Stabilizability and percolation in the infinite volume sandpile model
Anne Fey, Ronald Meester, Frank Redig
We study the sandpile model in infinite volume on . In particular, we are interested in the question whether or not initial configurations, chosen according to a stat…
Sharp phase transition and critical behaviour in 2D divide and colour models
Andras Balint, Federico Camia, Ronald Meester
Consider subcritical Bernoulli bond percolation with fixed parameter p<p_c. We define a dependent site percolation model by the following procedure: for each bond cluster, we colou…
Limiting shapes for deterministic centrally seeded growth models
Anne Fey, Frank Redig
We study the rotor router model and two deterministic sandpile models. For the rotor router model in , Levine and Peres proved that the limiting shape of the growth c…