Random products of maps synchronizing on average
Edgar Matias, \'Italo Melo
TL;DR
This paper establishes a precise criterion for when random compositions of functions on a compact space tend to synchronize on average, enhancing understanding of stochastic dynamical systems.
Contribution
It provides a necessary and sufficient condition for strong average synchronization in random map products on compact metric spaces.
Findings
Identifies the exact condition for synchronization on average.
Clarifies the behavior of random dynamical systems.
Advances theoretical understanding of stochastic synchronization.
Abstract
We present a necessary and sufficient condition for a random product of maps on a compact metric space to be (strongly) synchronizing on average.
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