4 papers
Characterizing stochastic inertia: when does noise increase escape times?
Robin Chemnitz, Maximilian Engel, Péter Koltai
Motivated by observations in atmospheric modelling, we investigate the effect of ``stochastic inertia'': in certain dynamical systems, small noise induces trajectories to stay long…
Noise-induced enhancement of regime lifetimes -- A data-driven approach using deterministic trajectories
Henry Schoeller, Robin Chemnitz, Péter Koltai +2
We investigate the lifetime of dynamical regimes under the impact of noise motivated by low-dimensional models of the atmosphere. One may expect that the inclusion of noise tends t…
Random attractors on countable state spaces
Robin Chemnitz, Maximilian Engel, Guillermo Olicón-Mendez
We study the synchronization behavior of discrete-time Markov chains on countable state spaces. Representing a Markov chain in terms of a random dynamical system, which describes t…
Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups
Robin Chemnitz, Maximilian Engel, Péter Koltai
Coherent sets are time-dependent regions in the physical space of nonautonomous flows that exhibit little mixing with their neighborhoods, robustly under small random perturbations…