314 citations · 678 across the 14 of their papers we have counts for
4 papers · 1 filter
Nontrivial Velocity Distributions in Inelastic Gases
P. L. Krapivsky, E. Ben-Naim
We study freely evolving and forced inelastic gases using the Boltzmann equation. We consider uniform collision rates and obtain analytical results valid for arbitrary spatial dime…
Stable Distributions in Stochastic Fragmentation
P. L. Krapivsky, E. Ben-Naim, I. Grosse
We investigate a class of stochastic fragmentation processes involving stable and unstable fragments. We solve analytically for the fragment length density and find that a generic…
Parity and Ruin in a Stochastic Game
E. Ben-Naim, P. L. Krapivsky
We study an elementary two-player card game where in each round players compare cards and the holder of the smallest card wins. Using the rate equations approach, we treat the stoc…
Extremal properties of random trees
E. Ben-Naim, P. L. Krapivsky, Satya N. Majumdar
We investigate extremal statistical properties such as the maximal and the minimal heights of randomly generated binary trees. By analyzing the master evolution equations we show t…