Embedded Files
Welcome, I am Rafael Lucena, a tenured professor at the Institute of Mathematics at the Federal University of Alagoas, Brazil.
My research is in Dynamical Systems and Ergodic Theory, with particular emphasis on transfer operators, spectral properties, statistical stability, thermodynamic formalism, and piecewise partially hyperbolic systems.
If you require further information, do not hesitate to reach out. You can find my contact details at the bottom of this page.
Para acessar a versão em Português, clique aqui.
Publications
Publications
[9] Stability and limit theorems in random dynamical systems (preprint - work in progress)
[8] Limit Theorems and Quantitative Statistical Stability for the Equilibrium States of Piecewise Partially Hyperbolic Maps (preprint - work in progress)
[7] Statistical stability for systems semi-conjugate to pre-piecewise convex or expanding maps with countably many branches (preprint - work in progress)
[6] Quasi-compactness and statistical properties for discontinuous systems semi-conjugate to piecewise convex maps with countably many branches (article - Discrete and Continuous Dynamical Systems - Click here)
[5] Thermodynamic formalism for discontinuous maps and statistical properties of their equilibrium states (article - Chaos, Solitons & Fractals)
[4] Quantitative Statistical Stability for the Equilibrium States of Piecewise Partially Hyperbolic Maps. (article - Discrete and Continuous Dynamical Systems)
[3] Lipschitz regularity of the invariant measure of Random Dynamical Systems (article - Journal of Fixed Point Theory and Applications)
[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)
Technical notes containing auxiliary results related to my published work.
Technical notes containing auxiliary results related to my published work.
The following technical material are peripheral results which are already published as attachments of other articles.
Informal lecture notes prepared for courses and seminars.
Informal lecture notes prepared for courses and seminars.
[1] The Transfer and Perron-Frobenius Operators
[2] Spectral Gap and Statistical Properties Properties for Piecewise Expanding Maps
Contact Information
Contact Information
Professional address: Av. Lourival Melo Mota, s/n. Tabuleiro do Martins, CEP:57072-900, Maceió - AL, Instituto de Matemática.
Email: rafael.lucena@im.ufal.br
Page updated
Google Sites
Report abuse