890 citations · 8.4k across the 209 of their papers we have counts for
7 papers · 1 filter
Signatures of arithmetic simplicity in metabolic network architecture
W. J. Riehl, P. L. Krapivsky, S. Redner +1
Metabolic networks perform some of the most fundamental functions in living cells, including energy transduction and building block biosynthesis. While these are the best character…
A model of ballistic aggregation and fragmentation
Nikolay V. Brilliantov, Anna S. Bodrova, Paul L. Krapivsky
A simple model of ballistic aggregation and fragmentation is proposed. The model is characterized by two energy thresholds, Eagg and Efrag, which demarcate different types of impac…
Aggregation-Fragmentation Processes and Wave Kinetics
C. Connaughton, P. L. Krapivsky
There is a formal correspondence between the isotropic 3-wave kinetic equation and the rate equations for a non-linear fragmentation--aggregation process. We exploit this correspon…
Survival of an evasive prey
G. Oshanin, O. Vasilyev, P. L. Krapivsky +1
We study the survival of a prey that is hunted by N predators. The predators perform independent random walks on a square lattice with V sites and start a direct chase whenever the…
Stratification in the Preferential Attachment Network
E. Ben-Naim, P. L. Krapivsky
We study structural properties of trees grown by preferential attachment. In this mechanism, nodes are added sequentially and attached to existing nodes at a rate that is strictly…
Freezing into Stripe States in Two-Dimensional Ferromagnets and Crossing Probabilities in Critical Percolation
Kipton Barros, P. L. Krapivsky, S. Redner
When a two-dimensional Ising ferromagnet is quenched from above the critical temperature to zero temperature, the system eventually converges to either a ground state (all spins al…