890 citations · 8.4k across the 209 of their papers we have counts for
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Logarithmic current fluctuations in non-equilibrium quantum spin chains
Tibor Antal, P. L. Krapivsky, A. Rákos
We study zero-temperature quantum spin chains which are characterized by a non-vanishing current. For the XX model starting from the initial state |... + + + - - - ...> we derive a…
Partition of Networks into Basins of Attraction
Shai Carmi, P. L. Krapivsky, Daniel ben-Avraham
We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neigh…
Front Propagation with Rejuvenation in Flipping Processes
T. Antal, D. ben-Avraham, E. Ben-Naim +1
We study a directed flipping process that underlies the performance of the random edge simplex algorithm. In this stochastic process, which takes place on a one-dimensional lattice…
Exciting Hard Spheres
T. Antal, P. L. Krapivsky, S. Redner
We investigate the collision cascade that is generated by a single moving incident particle on a static hard-sphere gas. We argue that the number of moving particles at time t grow…
Scale-free networks as preasymptotic regimes of superlinear preferential attachment
Paul Krapivsky, Dmitri Krioukov
We study the following paradox associated with networks growing according to superlinear preferential attachment: superlinear preference cannot produce scale-free networks in the t…
Phase Transition with Non-Thermodynamic States in Reversible Polymerization
E. Ben-Naim, P. L. Krapivsky
We investigate a reversible polymerization process in which individual polymers aggregate and fragment at a rate proportional to their molecular weight. We find a nonequilibrium ph…