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 ...

Scientists have developed a modeling technique to study urban traffic flows and show that their model can be used to find previously unknown bottlenecks. The model uses a modified form of percolation ...

We study the heat kernel and the Green’s function on the infinite supercritical percolation cluster in dimension d ≥ 2 and prove a quantitative homogenization theorem for these functions with an ...