Other Topics
This page contains a collection of my other research topics that do not fall within one of the other categories. Mainly, this involves hierarchical deposition models and visibility algorithms.
Projects
An overview of my other research projects, the analytical and computational approaches I use. Colored links will send you to the corresponding publications.
Hierarchical deposition
Hierarchical deposition processes generate structure through iterative, scale-dependent growth, where simple rules are applied across successive length scales. My work studies how such minimal protocols give rise to logarithmic fractal-like organization and nontrivial scaling behavior. In particular, it examines how correlations across scales encode the growth history and how universal structural features emerge from the interplay between deterministic hierarchy and stochastic deposition.
Visibility graphs
Hierarchical deposition processes can be recast as dynamical networks, where the structure generated by sequential growth is mapped onto graph representations. My work studies how such visibility mappings reveal the statistical and topological properties of hierarchical growth. In particular, it shows how deterministic and stochastic deposition protocols give rise to scale-free networks with well-defined degree exponents, how modular and self-similar features of the growth process are preserved in network measures such as clustering and diameter, and how universal behavior emerges through the connection to fractional Gaussian noise.