Percolation theory examines the emergence of connected clusters in systems composed of randomly occupied sites or bonds, making it an invaluable framework for understanding phase transitions in ...

This is a preview. Log in through your library . Abstract For a general class of percolation models with long-range correlations on ℤd, d ≥ 2, introduced in [J. Math. Phys. 55 (2014) 083307], we ...

Bootstrap percolation, a model of irreversible activation on graphs, has emerged as a pivotal area within graph theory and statistical mechanics. In this process, nodes (or vertices) on a network are ...

Alexander Hartmann, a physicist at the University of Oldenburg, in Germany, has introduced a new model to explain a common word puzzle phenomenon. In his paper published in the journal Physical Review ...

Researchers at the Indian Institute of Science in Bengaluru have shown that the same mathematical structures embedded in Ramanujan’s work also appear in turbulence, percolation processes and ...