4 papers
Quasi-stationary and quasi-ergodic distributions in the Pelikan random map
Samuel Brevitt, Rainer Klages
In this paper we present a concrete example of a substochastic discrete-time Markov chain on a countable state space producing a spectrum of infinitely many quasi-stationary distri…
Modelling the movements of organisms by stochastic theory in a comoving frame
Norberto Lucero Azuara, Rainer Klages
Imagine you walk in a plane. You move by making a step of a certain length per time interval in a chosen direction. Repeating this process by randomly sampling step length and turn…
Does an intermittent dynamical system remain (weakly) chaotic after drilling in a hole?
Samuel Brevitt, Rainer Klages
Chaotic dynamical systems are often characterised by a positive Lyapunov exponent, which signifies an exponential rate of separation of nearby trajectories. However, in a wide rang…
Singularity of Levy walks in the lifted Pomeau-Manneville map
Samuel Brevitt, Alexander Schulz, Dominic Pegler +2
Since groundbreaking works in the 1980s it is well-known that simple deterministic dynamical systems can display intermittent dynamics and weak chaos leading to anomalous diffusion…