203 citations · 3.5k across the 97 of their papers we have counts for
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physics.soc-ph2012★ 19 cited
Randomness in Competitions
E. Ben-Naim, N. W. Hengartner, S. Redner +1
We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply…
cond-mat.stat-mech2012★ 7 cited
Discrete Analog of the Burgers Equation
E. Ben-Naim, P. L. Krapivsky
We propose the set of coupled ordinary differential equations dn_j/dt=(n_{j-1})^2-(n_j)^2 as a discrete analog of the classic Burgers equation. We focus on traveling waves and tria…
q-bio.PE2012★ 12 cited
Scaling Behavior of Threshold Epidemics
E. Ben-Naim, P. L. Krapivsky
We study the classic Susceptible-Infected-Recovered (SIR) model for the spread of an infectious disease. In this stochastic process, there are two competing mechanism: infection an…