-35) "Ergodic Transport Theory and Piecewise Analytic Subactions for Analytic Dynamics"

joint work with E. R. Oliveira (**) and D. Smania,

to appear Bull. of the Braz. Math Soc.

-34) "Duality Theorems in Ergodic Transport"

joint work with J. Mengue,

preprint (2012).

-33) "Wigner measures and the semi-classical limit to the Aubry-Mather measure"

joint work with Diogo Gomes and Joana Mohr,

Applied Mathematics Research Express, Volume 2012, Issue 2 (2012)

-32) "The Dual Potential, the involution kernel and Transport in Ergodic Optimization"

joint work with E. Oliveira and Ph. Thieullen,

preprint (2011).

-31) "Selection of measure and a Large Deviation Principle for the general one-dimensional XY model"

joint work with J. Mengue,

preprint (2011).

-30) "On the selection of subaction and measure for a subclass of potentials defined by P. Walters"

joint work with A. T. Baraviera and J. Mengue,

preprint (2011) to appear in Erg. Theo. and Dyn. Systems.

-29) "On the general one-dimensional XY Model: positive and zero temperature, selection and non-selection"

joint work with A. T. Baraviera, L. M. Cioletti, J. Mohr, R. R. Souza,

Reviews in Math. Physics. Vol. 23, N. 10, pp 1063–-1113 (2011).

-28) "Ergodic Transport Theory, periodic maximizing probabilities and the twist condition"

joint work with G. Contreras and E. Oliveira,

preprint (2011).

-27) "The effective potential and transshipment in thermodynamic formalism at temperature zero"

joint work with E. Garibaldi,

to appears in Stoch. and Dynamics

-26) "Selection of ground states in the zero temperature limit for a one-parameter family of potentials"

joint work with A. Baraviera and R. Leplaideur,

SIAM Journal on Applied Dynamical Systems, Vol. 11, n 1, 243-260 (2012)

-25) "Large deviations and Aubry-Mather measures supported in nonhyperbolic closed geodesics"

joint work with R. Ruggiero,

Disc. and Cont. Dyn. Syst. A. Vol 29, N 3, pp 1155-1174 -(2011).

-24) "On generic G-prevalent properties and a quantitative K-S theorem for C^{r} diffeomorphisms of the circle"

joint work with Elismar R. Oliveira

pre-print (2009)

-23) "Zeta measures and Thermodynamic Formalism for temperature zero"

joint work with J. Mengue

Bull. of the Bras. Math. Soc 41 (3) pp 449-480 (2010)

-22) "A dynamical point of view of Quantum Information: Wigner measures",

joint work with A. Baraviera, C. F. Lardizabal, and M. Terra Cunha.

Dynamics, Games and Science II, DYNA 2008, Edit. M. Peixoto, A. Pinto and D Rand, pp 161-186 Springer Verlag (2011)

-21) "A dynamical point of view of Quantum Information: entropy and pressure",

joint work with A. Baraviera, C. F. Lardizabal, and M. Terra Cunha.

Dynamics, Games and Science I, DYNA 2008, Edit. M. Peixoto, A. Pinto and D Rand, pp 81-122 Springer Verlag (2011)

-20) "A Thermodynamic Formalism for density matrices in Quantum Information",

joint work with A. Baraviera, C. F. Lardizabal and M. Terra Cunha.

Applied Mathematics Research Express, Vol. 2010, No. 1, pp. 63–118 (2010)

-19) "Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy"

joint work with A. Baraviera, C. F. Lardizabal and M. Terra Cunha, Sao Paulo Journal of Math. Sciences, Vol. 5, N 1, pp 51-84 (2011).

-18) "A Ruelle Operator for continuous time Markov Chains"

joint work with A. Baraviera and R. Exel

Sao Paulo Journal of Mathematical Sciences, vol 4 n. 1, pp 1-16 (2010)

-17) "On calibrated and separating sub-actions",

joint work with E. Garibaldi and P. Thieullen

Bull. of the Bras. Math. Soc. Vol 40, 577-602, (4)(2009)

-16) "Minimax Probabilities for Aubry-Mather problems",

joint work with Diogo Gomes and N. Jung

, Commun. Contemporary Mathematics, Vol 12, Issue 5, pp 789-813 (2010)

-15) "Exponential decay of correlation for the Stochastic Process associated to the Entropy Penalized Method",

joint work with Diogo Gomes

Sao Paulo Journal of Mathematical Sciences 2, 1 (2008), 21-28

-14) " Negative Entropy, Zero temperature and stationary Markov chains on the interval",

joint work with J. Mohr, R. Souza and Ph. Thieullen

Bull. Soc. Bras. Math. Vol 40 n 1, (2009), 1-52

-13) "C*- Algebras and Thermodynamic Formalism",

joint work with R. Exel

Sao Paulo Journal of Mathematical Sciences 2, 1 (2008), 285–307

-12) "Functions for relative maximization",

joint work with E. Garibaldi

Dynamical Systems, v. 22, 511-528, 2007

-11) "On the Aubry-Mather theory for symbolic dynamics",

joint work with E. Garibaldi

Ergodic Theory and Dynamical Systems, v. 28, issue 3, pp 791-815 (2008)

-10) "The potential point of view for renormalization",

joint work with A Baraviera and R. Leplaideur

to appear in Stochastic and Dynamics, preprint (2008)

-9) "The Mather measure and a Large Deviation Principle for the Entropy Penalized Method",

joint work with D. Gomes and J. Mohr

"Communications in Contemporary Mathematics", Vol 13, issue 2, 235-268 (2011)

-8) "Entropy and variational principles for holonomic probabilities of IFS",

joint work with E. Oliveira

"Disc. and Cont. Dyn. Systems" (Series A) Vol 23, N 3, 937-955 (2009)

-7) "Poncelet pairs and the Twist Map associated to the Poncelet Billiard",

joint work with M. Sebastiani

"Real Analysis Exchange", Vol 35 , Issue 2, pp 355-374 (2010)

-6) "KMS States, Entropy and a Variational Principle for Pressure",

joint work with G. Castro

"Real Analysis Exchange" Vol 34 , Issue 2, 333-346 (2009)

-5) "Eigenfunctions of the Laplacian and associated Ruelle operator ",

joint work with P. Thieullen

, "Nonlinearity", Volume 21, Number 10, pp-2239-2254 (2008)

-4) "Cohomology and Subcohomology for expansive geodesic flows",

joint work with V. Rosas e R. Ruggiero

"Discrete and Continous Dynamical Systems" Volume: 17, N. 2, pp 403-422 (2007).

-3) "A Large Deviation Principle for the equilibrium states of Holder Potentials: the zero temperature case",

joint work with A. Baraviera e P. Thieullen

"Stochastics and Dynamics" Vol 6, n.1,- pp 77-96 (2006)

-2) ``Mather measures and

the Bowen-Series transformation,",

joint work withP. Thieullen

"Annal Inst Henry Poincare - Anal non-linear". pp 663-682, vol 5, (2006)

-1) ``A level-1 LDP for the autocovariances

of uniquely ergodic transformations with aditive noise,",

joint work with S. Carmona, C. Landim and S. Lopes

"Jour. of Statist. Physics", Vol. 91, N. 1/2, pp. 395-421 (1998).

0) ``Convergence in distribution

of the periodogram of chaotic systems,",

trabalho conjunto com S. Lopes

"Stochastic and Dynamics", vol 2, Issue 4 pp 609-624 (2002).

1) ``Exact bounds for the polynomial

decay of correlation, 1/f noise and the CLT for a non-Holder potential,",

trabalho conjunto com A. Fisher

"Nonlinearity", vol 14, pp 1071-1104 (2001).

2) ``Lyapunov minimizing measures

for expanding maps of the circle",

trabalho conjunto com G. Contreras and P. Thieullen

"Ergodic Theory and Dynamical Systems" , vol 21, Issue 5 pp 1379-1409 (2001).

3) ``C^* Algebras, approximately proper equivalence

relations and Thermodynamic Formalism",

trabalho conjunto com R. Exel

Vol 24, pp 1051-1082 Erg Theo and Dyn Syst (2004).

4) ``Subactions for Anosov

Difeomorphisms",

trabalho conjunto com P. Thieullen

Asterisque Vol 287 pp 135-146 ( 2003).

5) ``Subactions for Anosov

Flows",

trabalho conjunto com P. Thieullen

Erg Theo and Dyn Syst vol 25 Issue 2, pp605-628 (2005).

6) `` The capacity costfunction of a hard constrained channel"

trabalho conjunto com M. Craizer

publicado em Int Journal of Appl Math Vol 2, N 10 pp 1165-1180 (2000) .

7) ``The Theta Group and the Continued

Fraction Expansion with Even Partial Quotients",

trabalho conjunto com C. Kraaikamp

Geometricae Dedicatae , vol 59, pp 293-333 1996.

8) ``Maximum Likelihood and Minimum Entropy

Estimation of Grammars",

trabalho conjunto com P. Collet

e A. Galves. Random and Computational Dynamics, 3, pp-241-256, 1995" .

9) ``On the dimension of the predictive process of a memoryless channel",

trabalho conjunto com Silvia Lopes , "Stochastic Analysis and Application"s,

Vol 14, N 4 (1996)

10) ``Open biliards: invariant and conditionally invariant probabilities on

Cantor sets",

trabalho conjunto com R. Markarian,

"SIAM Journal of Applied Mathematics", Vol 56, Issue 2, april, pp 651-680, 1996.

11) ``Parametric estimation and Spectral Analysis of Chaotic Times Series"

trabalho conjunto com Silvia Lopes, "Advances in Applied Probability" Vol 30 N 3 pp 757-776 (1998)

12)" Generic Properties of open billiards"

trabalho conjunto com M. Mauldin, "Journal of Mathematical Analysis and Applications", Vol 205 pp 251-258 (1997)

13) "On the spectral density of a class of chaotic time series",

trabalho conjunto com S.Lopes e R. Souza , "Journal of Times Series", Vol 18 N 5, spt pp 465-474 (1997)

14) "Spectral Analysis of one-dimensional chaotic transformations" "

trabalho conjunto com S. Lopes e R. Souza, "Random and Computational Dynamics Journal" Vol 3, N 1 pp 107-117 (1997)

15)"On the minimal action function of an autonomous Lagrangian associated with a magnetic phenomena"

trabalho conjunto com Mario Carneiro, "Annal Inst Henry Poincare - Anal Non-lin" Vol 16, N 6 , pp 667-690 (1999)

16) "The Zeta Function, Non-Differentiability of Pressure and The Critical Exponent of Transition",

"Advances in Mathematics", Vol. 101, pp. 133-167, (1993).

17)"An Analogy of The Charge Distribution on Julia Sets with the Brownian Motion",

"Journal of Mathematical Physics", Vol. 30, N 9, pp. 2120-2124, (1989).

18)"Entropy and Large Deviation",

"NonLinearity", Vol. 3, N 2, pp. 527-546, (1990).

19)``Absolutely Continuous Invariant Measures for a Class of Affine Interval Exchange Maps",

trabalho conjunto com Z. Coelho e L. F. da Rocha, " Proceedings of the American Mathematical Society", 123, N. 11, pp. 3533-3542, 1995.

20) "Orthogonality and the Hausdorff Dimension of the Maximal Measure",

" Proceedings of the American Mathematical Society", Vol. 98, N 1, 51-55, (1986).

21) `Equilibrium Measures for Rational Maps",

Ergodic Theory and Dynamical Systems, Vol. 6, Part 3, pp. 393-399, (1986)

22) `An Invariant Measure for Rational Maps",

Boletim da Sociedade Brasileira de Matem\'atica, Vol. 14, N. 1, pp. 45-62, Alexandre Freire, Artur O. Lopes and e Ricardo Mane (1983)

23)`Structural Stability and Hyperbolic Attractors",

Transactions of the American Mathematical Society, Vol. 252, pp. 205-219, (1979).

24) `The Dimension Spectrum of the Maximal Measure",

SIAM Journal of Mathematical Analysis, Vol. 20, N. 5, pp. 1243-1254, (1989).

25) ``Dynamics of Real Polynomials on the Plane and Triple Point Phase Transition",

Mathematical and Computer Modelling, Vol. 13, N. 9, pp. 17-32, (1990).

26) ``Invariant Measure for the Gauss Map Associated with Interval Exchange Maps",

trabalho conjunto com L. F. da Rocha, Indiana University Mathematics Journal, Vol. 13, N. 4, pp. 1399-1438, (1994).

27) `On the Dynamics of Real Polynomials on the Plane",

Computers and Graphics, Vol. 16, N. 1, pp. 15-23, (1992).

28) ``A First-Order Level-2 Phase Transition in Thermodynamic Formalism",

Journal of Statistical Physics, Vol. 60, N. 3/4, pp. 395-411, (1990).