Memory loss for time-dependent dynamical systems
By W. Ott, Lai-Sang Young, Mikko Stenlund. 2009
59 citations recorded by the source corpus.
This paper discusses the evolution of probability distributions for certain time-dependent dynamical systems. Exponential loss of memory is proved for expanding maps and for one-dimensional piecewise expanding maps with slowly varying parameters.
Subfields: Computer Networks and Communications, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e0753acf96718b7a677bb9c751b5d5ece28d0329
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In Computer Networks and Communications
In Mathematical Physics
Citations in the corpus
- Polynomial loss of memory for maps of the interval with a neutral fixed point (2014, background): “The notion of loss of memory for non-equilibrium dynamical systems was introduced in the 2009 paper by Ott, Stenlund and Young [8]; they wrote: Let ⇢0 denote an initial probability density w.”
- Almost sure invariance principle for sequential and non-stationary dynamical systems (2014, background): “The notion of loss of memory for non-equilibrium dynamical systems was introduced and studied in the work of Ott, Stenlund and Young [29], but this notion only concerns the rate of convergence of initial distributions (in a metric on the space of measures) under the time-evolution afforded by the…”
- Metric Entropy of Nonautonomous Dynamical Systems (2013, background): “ith arbitrarily small diameters and zero boundaries (cf. [11, Lem. 4.5.1]). 4.11 Example: An example for systems with invariant sequences satisfying the assumption of Proposition 4.9, can be found in [23]: Let M be a compact connected Riemannian manifold. By d(·,·) denote the Riemannian distance and”