770 citations · 1.5k across the 54 of their papers we have counts for
55 papers
Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs
Adam Lipowski, Antonio Luis Ferreira, Dorota Lipowska +1
It is known that on directed graphs, the correlations between neighbours of a given site vanish and thus simple mean-field-like arguments can be used to describe exactly the behavi…
Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs
Adam Lipowski, Antonio L. Ferreira, Dorota Lipowska
Using a single-site mean-field approximation (MFA) and Monte Carlo simulations, we examine Ising-like models on directed regular random graphs. The models are directed-network impl…
Stability and evolution of synonyms and homonyms in signaling game
Dorota Lipowski, Adam Lipowski
Synonyms and homonyms appear in all natural languages. We analyse their evolution within the framework of the signaling game. Agents in our model use reinforcement learning, where…
Equilibrium behavior in a nonequilibrium system: Ising-doped voter model on complete graph
Adam Lipowski, Dorota Lipowska
While the Ising model belongs to the realm of equilibrium statistical mechanics, the voter model is an example of a nonequilibrium system. We examine an opinion formation model, wh…
Evolution toward linguistic coherence in naming game with migrating agents
Dorota Lipowska, Adam Lipowski
As an integral part of our culture and way of life, language is intricately related to migrations of people. To understand whether and how migration shapes language formation proce…
Cluster structure of optimal solutions in bipartitioning of small worlds
Adam Lipowski, Antonio L. Ferreira, Dorota Lipowska
Using a simulated annealing, we examine a bipartitioning of small worlds obtained by adding a fraction of randomly chosen links to a one-dimensional chain or a square lattice. Mode…