2 citations · 3 across the 7 of their papers we have counts for
3 papers · 1 filter
Noise-induced chaos: a conditioned random dynamics perspective
Bernat Bassols-Cornudella, Jeroen S. W. Lamb
We consider transitions to chaos in random dynamical systems induced by an increase of noise amplitude. We show how the emergence of chaos (indicated by a positive Lyapunov exponen…
Learning Lie Group Symmetry Transformations with Neural Networks
Alex Gabel, Victoria Klein, Riccardo Valperga +4
The problem of detecting and quantifying the presence of symmetries in datasets is useful for model selection, generative modeling, and data analysis, amongst others. While existin…
Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to add…