203 citations · 3.5k across the 97 of their papers we have counts for
4 papers · 1 filter
How to Choose a Champion
E. Ben-Naim, N. W. Hengartner
League competition is investigated using random processes and scaling techniques. In our model, a weak team can upset a strong team with a fixed probability. Teams play an equal nu…
Condensates in Driven Aggregation Processes
E. Ben-Naim, P. L. Krapivsky
We investigate aggregation driven by mass injection. In this stochastic process, mass is added with constant rate r and clusters merge at a constant total rate 1, so that both the…
Scaling in Tournaments
E. Ben-Naim, S. Redner, F. Vazquez
We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability…
Weak Disorder in Fibonacci Sequences
E. Ben-Naim, P. L. Krapivsky
We study how weak disorder affects the growth of the Fibonacci series. We introduce a family of stochastic sequences that grow by the normal Fibonacci recursion with probability 1-…