7 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…
Mixing at the Batchelor Scale for White-In-Time Flows
Robin Chemnitz, Dennis Chemnitz
We consider the mixing properties of solutions to the advection-diffusion equation of a white-in-time velocity field on the 2-dimensional torus with four forced modes. As the diffu…
Characterizing nonuniform hyperbolicity by Mather-type admissibility
Robin Chemnitz, Davor Davor Dragičević
We consider linear cocycles acting on Banach spaces which satisfy the assumptions of the multiplicative ergodic theorem. A cocycle is nonuniformly hyperbolic if all Lyapunov expone…
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…
Continuous-time extensions of discrete-time cocycles
Robin Chemnitz, Maximilian Engel, Péter Koltai
We consider linear cocycles taking values in driven by homeomorphic transformations of a smooth manifold, in discrete and continuous time. We show that…