146 citations · 160 across the 5 of their papers we have counts for
5 papers
Polygon-based hierarchical planar networks based on generalized Apollonian construction
M. V. Tamm, D. G. Koval, V. I. Stadnichuk
Experimentally observed complex networks are often scale-free, small-world and have unexpectedly large number of small cycles. Apollonian network is one notable example of a model…
Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation
Anna S. Bodrova, Vladimir Stadnichuk, P. L. Krapivsky +2
We analyze systems of clusters and interacting upon colliding---a collision between two clusters may lead to merging or fragmentation---and we also investigate the influence of add…
Smoluchowski aggregation-fragmentation equations: Fast numerical algorithm for steady-state solution
Vladimir Stadnichuk, Anna Bodrova, Nikolai Brilliantov
We propose an efficient and fast numerical algorithm of finding a \emph{stationary} solution of large systems of aggregation-fragmentation equations of Smoluchowski type for concen…
Overlap of two Brownian trajectories: exact results for scaling functions
Mikhail V. Tamm, Vladimir I. Stadnichuk, Alena M. Ilyina +1
We consider two random walkers starting at the same time from different points in space separated by a given distance . We compute the average volume of the space visited…
Size distribution of particles in Saturn's rings from aggregation and fragmentation
Nikolai Brilliantov, Pavel Krapivsky, Anna Bodrova +4
Saturn's rings consist of a huge number of water ice particles, with a tiny addition of rocky material. They form a flat disk, as the result of an interplay of angular momentum con…