Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated when ...

Fractals are remarkable examples of self-similarity where a structure or dynamic pattern is repeated over multiple spatial or time scales. However, little is known about how fractal stimuli such as ...

The study of Dirichlet forms and Markov processes in fractal geometry offers a robust framework for analysing irregular spaces that do not conform to classical Euclidean structures. Dirichlet forms ...

What makes a tree a tree? Or rather, why can we recognize trees in even quite abstract depictions when they are so varied in nature? Researchers have found a clue in the branches, and used math to ...