163 citations · 211 across the 12 of their papers we have counts for
13 papers · 1 filter
Rectangular Gilbert Tessellation
Emily Ewers, Tatyana Turova
A random planar quadrangulation process is introduced as an approximation for certain cellular automata in terms of random growth of rays from a given set of points. This model tur…
Scaling of Components in Critical Geometric Random Graphs on 2-dim Torus
Vasilii Goriachkin, Tatyana Turova
We consider random graphs on the set of vertices placed on the discrete -dimensional torus. The edges between pairs of vertices are independent, and their probabilities de…
Antiferromagnetic Covariance Structure of Coulomb Chain
Tatyana S. Turova
We consider a system of particles lined up on a finite interval with Coulomb 3-dimensional interactions between close neighbours, i.e. only a few other neighbours apart. This model…
Phase transition in random distance graphs on the torus
Fioralba Ajazi, George M. Napolitano, Tatyana Turova
We apply here methods of inhomogeneous random graphs to a class of random distance graphs. This provides an example outside of the rank 1 models which is still solvable as long as…
Phase Transitions in the One-dimensional Coulomb Gas Ensembles
Tatyana Turova
We consider the system of particles on a finite interval with pair-wise nearest neighbours interaction and external force. This model was introduced by Malyshev to study the flow o…
Majority bootstrap percolation on the random graph G(n,p)
Sigurdur Örn Stefánsson, Thomas Vallier
Majority bootstrap percolation on the random graph is a process of spread of "activation" on a given realisation of the graph with a given number of initially active node…