203 citations · 3.5k across the 97 of their papers we have counts for
10 papers · 1 filter
On The Structure of Competitive Societies
E. Ben-Naim, F. Vazquez, S. Redner
We model the dynamics of social structure by a simple interacting particle system. The social standing of an individual agent is represented by an integer-valued fitness that chang…
What is the most competitive sport?
E. Ben-Naim, F. Vazquez, S. Redner
We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity amo…
Alignment of Rods and Partition of Integers
E. Ben-Naim, P. L. Krapivsky
We study dynamical ordering of rods. In this process, rod alignment via pairwise interactions competes with diffusive wiggling. Under strong diffusion, the system is disordered, bu…
Rank Statistics in Biological Evolution
E. Ben-Naim, P. L. Krapivsky
We present a statistical analysis of biological evolution processes. Specifically, we study the stochastic replication-mutation-death model where the population of a species may gr…
Polymerization with Freezing
E. Ben-Naim, P. L. Krapivsky
Irreversible aggregation processes involving reactive and frozen clusters are investigated using the rate equation approach. In aggregation events, two clusters join irreversibly t…
Velocity Distributions of Granular Gases with Drag and with Long-Range Interactions
K. Kohlstedt, A. Snezhko, M. V. Sapozhnikov +3
We study velocity statistics of electrostatically driven granular gases. For two different experiments: (i) non-magnetic particles in a viscous fluid and (ii) magnetic particles in…
Power-law velocity distributions in granular gases
E. Ben-Naim, B. Machta, J. Machta
We report a general class of steady and transient states of granular gases. We find that the kinetic theory of inelastic gases admits stationary solutions with a power-law velocity…
Dynamics of Social Diversity
E. Ben-Naim, S. Redner
We introduce and solve analytically a model for the development of disparate social classes in a competitive population. Individuals advance their fitness by competing against thos…
Kinetic Theory of Random Graphs
E. Ben-Naim, P. L. Krapivsky
Statistical properties of evolving random graphs are analyzed using kinetic theory. Treating the linking process dynamically, structural characteristics such as links, paths, cycle…
Percolation with Multiple Giant Clusters
E. Ben-Naim, P. L. Krapivsky
We study the evolution of percolation with freezing. Specifically, we consider cluster formation via two competing processes: irreversible aggregation and freezing. We find that wh…