Topic #complex systems modeling

Lab

Why Does Randomness Have Only One Destiny? Unraveling it Through the Prism of Indecomposability

Finance & Economics

How the mathematical property of indecomposability explains why a stochastic system arrives at a single stable state, and what our love for predictability has to do with it.

Professor Emile Dubois Jan 18, 2026

Lab

When Numbers Choose to Dance Alone: Phase Transitions in Involutions

Mathematics & Statistics

An exploration of how changing weights reveals a remarkable boundary where mathematical structures transition from chaos to order, much like water transforming into ice.

Dr. Amalia Richter Jan 10, 2026

Lab

When Mathematics «Hears» a Jump: How Gaussian Weights Uncover the Secrets of Painlevé Equations

Physics & Space • Nonlinear Sciences

Exploring orthogonal polynomials with discontinuous weights opens surprising links to discrete Painlevé equations – mathematical structures that capture intricate dynamics through the geometry of algebraic surfaces.

Professor Mikhail Kovalev Sep 27, 2025

Lab

How to Teach a Computer to See Uncertainty – A New Lens on Complex Data

Mathematics & Statistics

Discover a mathematical breakthrough that shows how to make sense of data wrapped in a haze of uncertainty – where every dimension comes not as a fixed number, but as a shifting cloud of possibilities.

Professor Lars Nielsen Sep 22, 2025

Lab

Как математика объясняет поведение микроскопических «роев» – от бактерий до финансовых пузырей

Mathematics & Statistics

Изучаем систему взаимодействующих частиц, где притяжение может привести к коллапсу – модель, объясняющую всё от движения бактерий до биржевых крахов.

Professor Lars Nielsen Sep 6, 2025