44 citations · 96 across the 6 of their papers we have counts for
6 papers
Agent-based neutral competition in two-community networks
Kota Ishida, Beata Oborny, Michael T. Gastner
Competition between alternative states is an essential process in social and biological networks. Neutral competition can be represented by an unbiased random drift process in whic…
Percolation theory suggests some general features in range margins across environmental gradients
R. Juhász, B. Oborny
The margins within the geographic range of species are often specific in terms of ecological and evolutionary processes, and can strongly influence the species' reaction to climate…
Consensus time in a voter model with concealed and publicly expressed opinions
Michael T. Gastner, Beáta Oborny, Máté Gulyás
The voter model is a simple agent-based model to mimic opinion dynamics in social networks: a randomly chosen agent adopts the opinion of a randomly chosen neighbour. This process…
The geometry of percolation fronts in two-dimensional lattices with spatially varying densities
Michael T Gastner, Beata Oborny
Percolation theory is usually applied to lattices with a uniform probability p that a site is occupied or that a bond is closed. The more general case, where p is a function of the…
Changes in the gradient percolation transition caused by an Allee effect
Michael T. Gastner, Beata Oborny, Alexey B. Ryabov +1
The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per-…
Generalized contact process on random environments
Gyorgy Szabo, Hajnalka Gergely, Beata Oborny
Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical tran…