activity
20062011
most citedNetwork Analysis of the State Space of Discrete Dynamical Systems

34 citations · 96 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.stat-mech2011★ 15 cited

Self-organization in two-dimensional swarms

Jihad Touma, Amer Shreim, Leonid Klushin

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we iden…

cond-mat.stat-mech2010★ 10 cited

Attractor and Basin Entropies of Random Boolean Networks Under Asynchronous Stochastic Update

Amer Shreim, Andrew Berdahl, Florian Greil +2

We introduce a numerical method to study random Boolean networks with asynchronous stochas- tic update. Each node in the network of states starts with equal occupation probability…

physics.soc-ph2010★ 13 cited

The Interacting Branching Process as a Simple Model of Innovation

Vishal Sood, Myléne Mathieu, Amer Shreim +2

We describe innovation in terms of a generalized branching process. Each new invention pairs with any existing one to produce a number of offspring, which is Poisson distributed wi…

cond-mat.stat-mech2009★ 9 cited

Activity Dependent Branching Ratios in Stocks, Solar X-ray Flux, and the Bak-Tang-Wiesenfeld Sandpile Model

Elliot Martin, Amer Shreim, Maya Paczuski

We define an activity dependent branching ratio that allows comparison of different time series . The branching ratio is defined as . The random variabl…

cond-mat.stat-mech2009★ 6 cited

Random sampling vs. exact enumeration of attractors in random Boolean networks

Andrew Berdahl, Amer Shreim, Vishal Sood +2

We clarify the effect different sampling methods and weighting schemes have on the statistics of attractors in ensembles of random Boolean networks (RBNs). We directly measure cycl…

physics.bio-ph2008★ 1 cited

Avalanches, branching ratios, and clustering of attractors in Random Boolean Networks and in the segment polarity network of \emph{Drosophila}

Andrew Berdahl, Amer Shreim, Vishal Sood +2

We discuss basic features of emergent complexity in dynamical systems far from equilibrium by focusing on the network structure of their state space. We start by measuring the dist…