4 papers
Universality of order statistics for Brownian reshuffling
Zdzislaw Burda, Mario Kieburg, Tomasz Maciocha
We discuss the order statistics of the particle positions of a gas of identical independent particles performing Brownian motion in one dimension in a potential that asymptotic…
Heider balance of a square lattice in an external field
Zdzisław Burda, Maciej Wołoszyn, Krzysztof Malarz +1
We discuss the Heider model in the presence of an external social field. This field was introduced to break the symmetry between the probabilities of hostile and friendly relations…
Relationship between Heider links and Ising spins
Zdzisław Burda, Maciej Wołoszyn, Krzysztof Malarz +1
We show that the Heider model with an external field is equivalent, in the limit of structural balance, to the Ising model with nearest-neighbor interactions without an external fi…
Universality of Top Rank Statistics for Brownian Reshuffling
Zdzislaw Burda, Mario Kieburg
We study the dynamical aspects of the top rank statistics of particles, performing Brownian motions on a half-line, which are ranked by their distance from the origin. For this pur…