3 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
Nonuniform expansion and diffusive noise imply random horseshoes and random Young towers
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe and prove density of random horseshoes and existence of a random Young tower with annealed exponential tails for nonuniformly expanding rand…
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…
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…
On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems
William Giles, Jeroen Lamb, Dmitry Turaev
We consider a Hamiltonian system which has an elliptic-hyperbolic equilibrium with a homoclinic loop. We identify the set of orbits which are homoclinic to the center manifold of t…
Normal Forms and Unfoldings of Linear Systems in Eigenspaces of (Anti)-Automorphisms of Order Two
I. Hoveijn, J. S. W. Lamb, R. M. Roberts
In this article we classify normal forms and unfoldings of linear maps in eigenspaces of (anti)-automorphisms of order two. Our main motivation is provided by applications to linea…