25 citations · 42 across the 7 of their papers we have counts for
7 papers
The Jammed Phase of the Biham-Middleton-Levine Traffic Model
Omer Angel, Alexander E Holroyd, James B Martin
Initially a car is placed with probability p at each site of the two-dimensional integer lattice. Each car is equally likely to be East-facing or North-facing, and different sites…
Scaling of Percolation on Infinite Planar Maps, I
Omer Angel
We consider several aspects of the scaling limit of percolation on random planar triangulations, both finite and infinite. The equivalents for random maps of Cardy's formula for th…
The Stationary Measure of a 2-type Totally Asymmetric Exclusion Process
Omer Angel
We give a combinatorial description of the stationary measure for a totally asymmetric exclusion process (TASEP) with second class particles, on either Z or on the cycle Z_N. The m…
Routing Complexity of Faulty Networks
Omer Angel, Itai Benjamini, Eran Ofek +1
One of the fundamental problems in distributed computing is how to efficiently perform routing in a faulty network in which each link fails with some probability. This paper invest…
A Phase Transition for the Metric Distortion of Percolation on the Hypercube
Omer Angel, Itai Benjamini
Let H_n be the hypercube {0,1}^n, and let H_{n,p} denote the same graph with Bernoulli bond percolation with parameter p=n^-α. It is shown that at α=1/2 there is a phase transition…
Growth and Percolation on the Uniform Infinite Planar Triangulation
Omer Angel
A construction as a growth process for sampling of the uniform infinite planar triangulation (UIPT), defined in a previous paper, is given. The construction is algorithmic in natur…