CORDIS Project
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This research explores ergodic theory, focusing on how deterministic systems can converge to stochastic models. It aims to rigorously analyze the homogenization process and investigate anomalous diffusion in different dimensional contexts.
Ergodic theory is the analysis of probabilistic or statistical aspects of deterministic systems.
Roughly speaking, deterministic systems are those that evolve without any randomness.
Nevertheless, the probabilistic approach is appropriate since specific trajectories are unpredictable in “chaotic” systems.
At the other extreme, stochastic systems evolve in a random manner by assumption.One of the main topics of this proposal is to investigate how separation of time scales can cause a fast-sl…
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