173 citations · 436 across the 25 of their papers we have counts for
25 papers
A model of irreversible jam formation in dense traffic
J. G. Brankov, N. Zh. Bunzarova, N. C. Pesheva +1
We study an one-dimensional stochastic model of vehicular traffic on open segments of a single-lane road of finite size . The vehicles obey a stochastic discrete-time dynamics w…
Perfect boundaries in rotor-router aggregation on cylinders
V. B. Priezzhev
We study a rotor-router version of the internal diffusion-limited aggregation introduced by J.Propp. The existing estimations of boundary fluctuations of the aggregation cluster sh…
Rotor-Router Walk on a Semi-infinite Cylinder
Vl. V. Papoyan, V. S. Poghosyan, V. B. Priezzhev
We study the rotor-router walk with the clockwise ordering of outgoing edges on the semi-infinite cylinder. Imposing uniform conditions on the boundary of the cylinder, we consider…
Spiral Structures in the Rotor-Router Walk
Vl. V. Papoyan, V. S. Poghosyan, V. B. Priezzhev
We study the rotor-router walk on the infinite square lattice with the outgoing edges at each lattice site ordered clockwise. In the previous paper [J.Phys.A: Math. Theor. 48, 2852…
A Loop Reversibility and Subdiffusion of the Rotor-Router Walk
Vl. V. Papoyan, V. S. Poghosyan, V. B. Priezzhev
The rotor-router model on a graph describes a discrete-time walk accompanied by the deterministic evolution of configurations of rotors randomly placed on vertices of the graph. We…
Transfer matrix for spanning trees, webs and colored forests
J. G. Brankov, V. S. Poghosyan, V. B. Priezzhev +1
We use the transfer matrix formalism for dimers proposed by Lieb, and generalize it to address the corresponding problem for arrow configurations (or trees) associated to dimer con…