Research interests
The research carried out during
my PhD evolved through a dual point of
view. At the beginning, it was mostly based on a
theoretical and numerical approach and towards the
end, I adventured myself into the more analytical
track. The idea was, on the one hand, to study some
properties that are length and time
dependent. Therefore, to characterise dynamics
under finite resolution and to investigate how it
is related to its mathematical aspects. For
example, the characterisation of invariant sets under
finite resolution dynamics. On the other hand, I
have also been interested in statistical properties
and in the stability of invariant sets under bounded
random perturbations. In particular, this second
aspect has worked as a bridge for me to pursue a
rigourous approach to study randomly perturbed
dynamics. More recently, I have also been interested in
applying techniques from Optimal Transport in order to
tackle several problems in Dynamical Systems and
Ergodic Theory.
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