Slow and fast escape for open intermittent maps

MF Demers, M Todd - Communications in Mathematical Physics, 2017 - Springer
If a system mixes too slowly, putting a hole in it can completely destroy the richness of the
dynamics. Here we study this instability for a class of intermittent maps with a family of slowly …

[PDF][PDF] Limiting distributions for countable state topological Markov chains with holes

MF Demers, C Ianzano, P Mayer… - Discrete and Contin …, 2017 - faculty.fairfield.edu
We study the dynamics of countable state topological Markov chains with holes, where the
hole is a countable union of 1-cylinders. For a large class of positive recurrent potentials and …

Escape dynamics through a continuously growing leak

T Kovács, J Vanyó - Physical Review E, 2017 - APS
We formulate a model that describes the escape dynamics in a leaky chaotic system in
which the size of the leak depends on the number of the in-falling particles. The basic …