Rate of convergence to equilibrium for discrete-time stochastic dynamics with memory

The main objective of the paper is to study the long-time behavior of general discrete dynamics driven by an ergodic stationary Gaussian noise. In our main result, we prove existence and uniqueness of the invariant distribution and exhibit some upper-bounds on the rate of convergence to equilibrium...

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Veröffentlicht in:Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability 2019-11, Vol.25 (4B), p.3234-3275
1. Verfasser: VARVENNE, MAYLIS
Format: Artikel
Sprache:eng
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