90 citations · 421 across the 15 of their papers we have counts for
6 papers · 1 filter
Method for estimating critical exponents in percolation processes with low sampling
Nikolaos Bastas, Kosmas Kosmidis, Paraskevas Giazitzidis +1
In phase transition phenomena, the estimation of the critical point is crucial for the calculation of the various critical exponents and the determination of the universality class…
Explosive Percolation: Unusual Transitions of a Simple Model
Nikolaos Bastas, Paraskevas Giazitzidis, Michael Maragakis +1
In this paper we review the recent advances on explosive percolation, a very sharp phase transition first observed by Achlioptas et al. (Science, 2009). There a simple model was pr…
Explosive site percolation and finite size hysteresis
Nikolaos Bastas, Kosmas Kosmidis, Panos Argyrakis
We report the critical point for site percolation for the "explosive" type for 2D square lattices using Monte Carlo simulations and compare it to the classical well known percolati…
Percolation of randomly distributed growing clusters: Finite Size Scaling and Critical Exponents
Nikolaos Tsakiris, Michail Maragakis, Kosmas Kosmidis +1
We study the percolation properties of the growing clusters model. In this model, a number of seeds placed on random locations on a lattice are allowed to grow with a constant velo…
Percolation of randomly distributed growing clusters
N. Tsakiris, M. Maragakis, K. Kosmidis +1
We investigate the problem of growing clusters, which is modeled by two dimensional disks and three dimensional droplets. In this model we place a number of seeds on random locatio…
Language evolution and population Dynamics in a system of two interacting species
Kosmas Kosmidis, John M. Halley, Panos Argyrakis
We use Monte Carlo simulations and assumptions from evolutionary game theory in order to study the evolution of words and the population dynamics of a system comprising two interac…