Rafael Lucena, professor...and Olga's daddy
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Hi, I am Rafael Lucena, a permanent professor at the Institute of Mathematics of the Federal University of Alagoas - Brazil.
Here you can see what matters for a possible international user and follow my work on Pure Mathematics research. My interest field is Dynamical Systems and Ergodic theory, where my research concentrates in the statistical properties of Dynamical Systems.
If you need additional information, do not hesitate and contact me. You can find contact informations at the bottom of this page.
Publications
[4] Quantitative Statistical Stability for the Equilibrium States of Piecewise Partially Hyperbolic Maps. (preprint)
[3] Lipschitz regularity of the invariant measure and statistical properties for a class of random dynamical systems (preprint)
[2] Hölder Regularity and Exponential Decay of Correlations for a class of Piecewise Partially Hyperbolic Maps (article - Nonlinearity)
[1] Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps (article - Discrete and Continuous Dynamical Systems)
Preprints (do not intend to publish them.)
The following technical material are peripheral results which are already published as attachments of other articles.
Lecture Notes (For fun...take care!)
Contact Information
Profissional address: Av. Lourival Melo Mota, s/n. Tabuleiro do Martins, CEP:57072-900, Maceió - AL, Instituto de Matemática.
Email: rafael.lucena@im.ufal.br
...
Oh I know it's not much but it's the best I can do
My gift is my song
And this one's for you
And you can tell everybody this is your song
It may be quite simple but now that it's done
I hope you don't mind
I hope you don't mind
That I put down in words
How wonderful life is while you're in the world
...
Elton John, 1970