267 citations · 1.1k across the 40 of their papers we have counts for
6 papers · 1 filter
Data-driven modelling of nonlinear dynamics by barycentric coordinates and memory
Niklas Wulkow, Péter Koltai, Vikram Sunkara +1
We present a numerical method to model dynamical systems from data. We use the recently introduced method Scalable Probabilistic Approximation (SPA) to project points from a Euclid…
Definition, detection, and tracking of persistent structures in atmospheric flows
Johannes von Lindheim, Abhishek Harikrishnan, Tom Dörffel +8
Long-lived flow patterns in the atmosphere such as weather fronts, mid-latitude blockings or tropical cyclones often induce extreme weather conditions. As a consequence, their desc…
Large-scale flow in a cubic Rayleigh-Bénard cell: Long-term turbulence statistics and Markovianity of macrostate transitions
Priyanka Maity, Péter Koltai, Jörg Schumacher
We investigate the large-scale circulation (LSC) in a turbulent Rayleigh-Bénard convection flow in a cubic closed convection cell by means of direct numerical simulations at a Rayl…
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation
Andreas Bittracher, Mattes Mollenhauer, Péter Koltai +1
Reaction Coordinates (RCs) are indicators of hidden, low-dimensional mechanisms that govern the long-term behavior of high-dimensional stochastic processes. We present a novel and…
Statistical Analysis of Tipping Pathways in Agent-Based Models
Luzie Helfmann, Jobst Heitzig, Péter Koltai +2
Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals can lead to em…
Detecting the birth and death of finite-time coherent sets
Gary Froyland, Péter Koltai
Finite-time coherent sets (FTCSs) are distinguished regions of phase space that resist mixing with the surrounding space for some finite period of time; physical manifestations inc…