890 citations · 8.4k across the 209 of their papers we have counts for
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Finite Size Fluctuations in Interacting Particle Systems
E. Ben-Naim, P. L. Krapivsky
Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet…
Correlations in Ballistic Processes
E. Trizac, P. L. Krapivsky
We investigate a class of reaction processes in which particles move ballistically and react upon colliding. We show that correlations between velocities of colliding particles pla…
Dynamics of an Unbounded Interface Between Ordered Phases
P. L. Krapivsky, S. Redner, J. Tailleur
We investigate the evolution of a single unbounded interface between ordered phases in two-dimensional Ising ferromagnets that are endowed with single-spin-flip zero-temperature Gl…
Leadership Statistics in Random Structures
E. Ben-Naim, P. L. Krapivsky
The largest component (``the leader'') in evolving random structures often exhibits universal statistical properties. This phenomenon is demonstrated analytically for two ubiquitou…
Exchange Driven Growth
E. Ben-Naim, P. L. Krapivsky
We study a class of growth processes in which clusters evolve via exchange of particles. We show that depending on the rate of exchange there are three possibilities: I) Growth: Cl…
Random Walk with Shrinking Steps
P. L. Krapivsky, S. Redner
We outline basic properties of a symmetric random walk in one dimension, in which the length of the nth step equals lambda^n, with lambda<1. As the number of steps N-->oo, the prob…