Institut für Mathematik

Nov 5, 2024 | link.springer.com | Institut für Mathematik |Humboldt-Universität zu Berlin

1 IntroductionDormancy in biological populations refers to the ability of an organism to enter a reversible state of metabolic inactivity. It appears in many guises, the most obvious being plants that produce seeds. In their seed-form they can remain inactive in the ground for years, even decades, and withstand adverse conditions before finally germinating again.

Oct 23, 2024 | academic.oup.com | Institut für Mathematik

Miquel dynamics is a discrete time dynamics for circle patterns, which relies on Miquel’s six circle theorem. Previous work shows that the evolution of the circle centers satisfy the dSKP equation on the octahedral lattice ⁠. As a consequence, Miquel dynamics is a discrete integrable system. Moreover, Miquel dynamics give rise to a real-valued cluster structure. The evolution of the cluster variables under Miquel dynamics is also called a Y-system in the discrete integrable systems community.

Sep 6, 2023 | pubs.aip.org | Fritz-Haber-Institut der Max-Planck-Gesellschaft |Institut für Mathematik |Freie Universität Berlin

Topics Probability and statistics, Error analysis, Monte Carlo methods, Numerical integration, Reaction kinetics modeling, Catalysts and Catalysis, Statistical fluctuations, Statistical analysis, Stochastic processes Most models of physicochemical behavior depend on a number of parameters, which are characteristic of the problem we want to describe. Typically, these parameters carry a non-negligible uncertainty or variability.