/tags/stochastics/Recent content in Stochastics on DisentangledHugoen-USCopyright (c) 2020-2026 ThuliteThu, 18 Jun 2026 16:04:48 +0200/articles/applications/wafer_tda/Thu, 18 Jun 2026 16:04:48 +0200/articles/applications/wafer_tda/<p>Topological data analysis (TDA) typically shines on data that has a shape and structure. In nature, such patterns arise constantly. Proteins have cavities and tunnels, galaxies form filaments, and porous materials are characterized by their network of interconnected channels. Although these kinds of structure do contain some amount of randomness (i.e. a stochastic process that underlies the formation), it seems that Nature prefers shape over uniformity. Only through shape can the intricate structures that dictate our biology even be formed.</p>/articles/topology/knot-theory/stochastic/Tue, 02 Jun 2026 16:04:48 +0200/articles/topology/knot-theory/stochastic/<p>What do knot invariants of the type introduced in <a class="link link--text" href="/articles/topology/knot-theory/invariants/">invariant</a> have to do with stochastic processes? As I shall discuss in this article, it turns out that a stochastic viewpoint of invariants is incredibly useful for understanding their properties, as well as deriving more general invariants.</p>