111 citations · 212 across the 10 of their papers we have counts for
10 papers
Record-Breaking Avalanches in Driven Threshold Systems
Robert Shcherbakov, Jörn Davidsen, Kristy F. Tiampo
Record-breaking avalanches generated by the dynamics of several driven nonlinear threshold models are studied. Such systems are characterized by intermittent behavior, where slow b…
A model for the distribution of aftershock waiting times
Robert Shcherbakov, Gleb Yakovlev, Donald L. Turcotte +1
In this work the distribution of inter-occurrence times between earthquakes in aftershock sequences is analyzed and a model based on a non-homogeneous Poisson (NHP) process is prop…
Inter-arrival time distribution for the non-homogeneous Poisson process
Gleb Yakovlev, John B. Rundle, Robert Shcherbakov +1
We derive an analytical expression of the inter-arrival time distribution for a non-homogeneous Poisson process (NHPP). This expression is exact and is applicable to any time inter…
Exact solution of a Z(4) gauge Potts model on planar lattices
N. S. Ananikian, R. G. Ghulghazaryan, N. Sh. Izmailian +1
The exact solution of a general Z(4) gauge Potts model with a single and double plaquette representation of the action is found on a subspace of gauge-coupling parameters on the sq…
Dynamics of Eulerian walkers
A. M. Povolotsky, V. B. Priezzhev, R. R. Shcherbakov
We investigate the dynamics of Eulerian walkers as a model of self-organized criticality. The evolution of the system is subdivided into characteristic periods which can be seen as…
Self-Organizing Height-Arrow Model: Numerical and Analytical Results
R. R. Shcherbakov
The recently introduced self-organizing height-arrow (HA) model is numerically investigated on the square lattice and analytically on the Bethe lattice. The concentration of occupi…