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math.DS2014
Invariant Measures for Hybrid Stochastic Systems
Xavier Garcia, Jennifer Kunze, Thomas Rudelius +4
In this paper, we seek to understand the behavior of dynamical systems that are perturbed by a parameter that changes discretely in time. If we impose certain conditions, we can st…
math.DS2012★ 8 cited
On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations
Irving Dai, Xavier Garcia, Tudor Pădurariu +1
We study the notions of weak rational ergodicity and rational weak mixing as defined by Jon Aaronson. We prove that various families of infinite measure-preserving rank-one transfo…