Ubiquitous Fractal Dimension of Optimal Paths

As our brief literature review shows, the fractal dimension of an optimal path in the strong disorder limit often appears in statistical physics models and therefore might represent a fundamental property for many different natural systems. To emphasize this common behavior and further support our hypothesis that all such systems fall in the same universality class, we presented three recent model applications in statistical physics; however, additional work in 3D and higher dimensions are needed to numerically confirm our hypothesis.