4 papers
Conditioned stochastic stability of equilibrium states on uniformly expanding repellers
Bernat Bassols Cornudella, Matheus Manzatto de Castro, Jeroen S. W. Lamb
We propose a notion of conditioned stochastic stability of invariant measures on repellers: we consider whether quasi-ergodic measures of absorbing Markov processes, generated by r…
Learning Iterated Function Systems from Time Series of Partial Observations
Emilia Gibson, Jeroen S. W. Lamb
We develop a methodology to learn finitely generated random iterated function systems from time-series of partial observations using delay embeddings. We obtain a minimal model rep…
Mean-field and fluctuations for hub dynamics in heterogeneous random networks
Zheng Bian, Jeroen S. W. Lamb, Tiago Pereira
In a class of heterogeneous random networks, where each node dynamics is a random dynamical system, interacting with neighbor nodes via a random coupling function, we characterize…
Non uniform expansion and additive noise imply random horseshoe
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe and prove density of random horseshoes for non uniformly expanding random dynamical systems with additive noise