I am Johannes Falk,
Research
Complex Systems & Network Science
My core field: how local rules and interactions on a network give rise to collective behavior — consensus, dissent, avalanches, and the structure that steers them.
Read more →Self-Reflexive Systems & Philosophy of Science
What does it mean for a system — or a model — to take a perspective and observe itself? Foundational work on polycontextural logic in physics, and a frontier project on self-reflexive systems.
Read more →Stochastic & Dynamical Systems
How randomness shapes dynamical systems — noise that creates and destroys stable states and bifurcations, and the theory used to describe it.
Read more →Applied Machine Learning & Data Science
Applied ML on real, messy data — where a leaderboard and a hard deadline test an idea fast. Competition wins and collaborative modeling, kept interpretable wherever possible.
Read more →Latest Publications
- Categories of important edges in dynamics on graphs
- Nucleation transitions in polycontextural networks toward consensus
- Collective patterns and stable misunderstandings in networks striving for consensus without a common value system
- Network location and clustering of genetic mutations determine chronicity in a stylized model of genetic diseases
- Physics is organized around transformations connecting contextures in a polycontextural world
Latest from the Blog
From Subjectivity to Polycontextural Logic
Subjectivity means different observers reach different yet valid conclusions. Gotthard Günther’s polycontextural logic turns that into a formal account of self-reflection, and shows why …
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