121) "Geodesics and dynamical information projections on the manifold of Holder equilibrium probabilities",

joint work with Rafael Ruggiero

preprint (2022)

120) "Thermodynamic formalism for continuous-time quantum Markov semigroups: the detailed balance condition, entropy, pressure and equilibrium quantum processes",

joint work with Jader E. Brasil and Josue Knorst

preprint (2022)

119) "Dynamical hypothesis tests and Decision Theory for Gibbs distributions",

joint work with M. Denker and S. R. C. Lopes

preprint (2021)

118) "Explicit Bivariate Rate Functions for Large Deviations in AR(1) and MA(1) Processes with Gaussian Innovations"

joint work with M. Karling and S. R. C. Lopes

preprint (2021)

117) "Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs Measures: theory and examples"

joint work with L. Cioletti, L. Hataishi and M. Stadlbauert

preprint (2018)

116) "The sectional curvature of the infinite dimensional manifold of Holder equilibrium probabilities"

joint work with R. Ruggiero,

preprint (2018)

115) "On information gain, Kullback-Leibler divergence, entropy production and the involution kernel"

joint work Jairo Mengue

Disc. and Cont. Dyn. Syst. Series A (on line)

114) "Thermodynamic Formalism for Quantum Channels: Entropy, Pressure, Gibbs Channels and generic properties"

joint work with Jader Brasil and Josue Knorst,

Communications in Contemporary Mathematics (on line)

113) "Entropy, pressure, ground states and calibrated sub-actions for linear dynamics",

joint work with V. Vargas

Bull. of the Braz. Math. Soc. Vol (on line)

112) "Decision Theory and Large Deviations for Dynamical hypotheses tests: the Neyman-Pearson Lemma, Min-Max and Bayesian Tests"

joint work with H. H. Ferreira and S. R. C. Lopes

Journal of Dynamics and Games, Volume 9, Number 2, April 2022 - pp 125-150

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111) "Bayes posterior convergence for loss functions via almost additive Thermodynamic Formalism"

joint work S. R. C. Lopes and P. Varandas

Journ. of Statis. Physics, 186:35 (2022)

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110) "Pentadiagonal Matrices and an Application to the Centered MA(1) Stationary Gaussian Process",

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International Journal of Applied Mathematics and Statistics, Vol. 61; Issue No. 1, pp 1-22 (2022)

109) "Nonequilibrium in Thermodynamic Formalism: the Second Law, gases and Information Geometry"

joint work with R. Ruggiero

Qualitative Theory of Dynamical Systems 21: 21 p 1-44 (2022) MR4356488

108) "Lyapunov exponents for Quantum Channels: an entropy formula and generic properties"

joint work Jader E. Brasil, and Josue Knorst

Journal of Dynamical Systems and Geometric Theories, Vol 19(2) 155-187 (2021) MR4358481

107) "Invariant probabilities for discrete time Linear Dynamics via Thermodynamic Formalism"

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Nonlinearity 34 (2021) 8359–-8391 MR4344719

106) "An iterative process for approximating subactions"

joint work with Hermes H. Ferreira and Elismar R. Oliveira,

Modeling, Dynamics, Optimization and Bioeconomics IV" Editors: Alberto Pinto and David Zilberman, Springer Proceedings in Mathematics and Statistics, Springer Verlag, pp 187--212 (2021)

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105) "On Bertelson-Gromov Dynamical Morse Entropy ",

joint work with Marcos Sebastiani,

"Modeling, Dynamics, Optimization and Bioeconomics IV" Editors: Alberto Pinto and David Zilberman, Springer Proceedings in Mathematics and Statistics, Springer Verlag, 297--321, (2021)

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104) "Haar systems, KMS states on von Neumann algebras and C^*-algebras on dynamically defined groupoids and Noncommutative Integration"

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"Modeling, Dynamics, Optimization and Bioeconomics IV" Editors: Alberto Pinto and David Zilberman, Springer Proceedings in Mathematics and Statistics, Springer Verlag 79--137 (2021)

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103) "Thermodynamic Formalism for Haar systems in Noncommutative Integration: transverse functions and entropy of transverse measures"

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Erg. Theo. and Dyn. Systems, (2021), 41, 1835–1863 MR4252210

102) "Quantum Spin probabilities at positive temperature are Holder Gibbs probabilities"

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Comm. in Contemporary Mathematics Vol. 23, No. 1 (2021) 1950050 (32 pages) MR4169241

101) "Explicit examples in Ergodic Optimization"

joint work with Hermes H. Ferreira and Elismar R. Oliveira,

Sao Paulo Journal of Math. Sciences - Vol 14 - pp 443-489 (2020) MR4173468

100) "The Ruelle operator for symmetric beta-shifts"

joint work with Victor Vargas,

Publicacions Mathematiques, 661 - 680 - Volume 64, Issue 2 (2020) MR4119264

99) "Gibbs States and Gibbsian Specifications on the space R^N"

joint work with Victor Vargas,

Dyn. Systems., Volume 35, Issue 2, 216-241 (2020) MR4120828

98) "Ruelle Operator for Continuous Potentials and DLR-Gibbs Measures",

joint work with L. Cioletti and M. Stadlbauert

Disc and .Cont. Dyn. Syst. A Vol 40, N. 8, 4625-4652 (2020) MR4112024

97) "Correlation Inequalities and Monotonicity Properties of the Ruelle Operator",

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Stoch. and Dyn, 19 (2019), no. 6, 1950048, 31 pp MR4033007

96) "Continuous groupoids on the symbolic space, quasi-invariant probabilities for Haar systems and the Haar-Ruelle operator"

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Bull of the Braz. Math. Soc., Vol 50. Issue 3, pp 663–683 (2019) MR3993188

95) "The KMS Condition for the homoclinic equivalence relation and Gibbs probabilities",

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Sao Paulo Journ. of Math. Sciences, Volume 13, Issue 1, pp 248–282 (2019) MR3947403

94) "A general renormalization procedure on the one-dimensional lattice and decay of correlations",

Stoch. and Dyn., Vol. 19, No. 01, 1950003 (2019) MR3904031

93) "The calculus of thermodynamical formalism",

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Journ. of the European Math Society, Vol 20, Issue 10, pages 2357-2412 (2018) MR3852182

92) "Large Deviations for Quantum Spin probabilities at temperature zero",

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Stochastics and Dynamics, Vol. 18, No. 06, 1850044 (2018) MR3869882

91) "Selection of calibrated subaction when temperature goes to zero in the discounted problem",

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Discrete and Cont Dyn. Syst., Series A, Vol 38, n 10, 4997-5010 (2018) MR3834704

90) "A formula for the Entropy of the Convolution of Gibbs probabilities on the circle",

Nonlinearity, 31 , 3441-3459 (2018) MR3816762

89) "Uma breve Introdução à Matemática da Mecânica Quântica"

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88) "Introdução à Matemática da Mecânica Quântica"

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87) "On the thin boundary of the fat attractor"

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"Modeling, Dynamics, Optimization and Bioeconomics III" Editors: Alberto Pinto and David Zilberman, Springer Proceedings in Mathematics and Statistics, Springer Verlag, 205-246 (2018) MR3806667

86) "Transport and large deviations for Schrodinger operators and Mather measures",

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85) "An introduction to Coupling"

"Modeling, Dynamics, Optimization and Bioeconomics II" Editors: Alberto Pinto and David Zilberman, Springer Proceedings in Mathematics and Statistics, pp 307-335, (2017) Springer Verlag MR3718407

84) "A detailed proof of the von Neumann's Quantum Ergodic Theorem",

joint work with Marcos Sebastiani,

Quantum Studies: Mathematics and Foundations - Vol 4 - Issue 3, 263-285 (2017) MR3692490

83) "Interactions, Specifications, DLR probabilities and the Ruelle Operator in the One-Dimensional Lattice"

joint work with L. Cioletti, Discrete and Cont. Dyn. Syst. - Series A, Vol 37, Number 12, 6139 -- 6152 (2017) MR3690296

82) "Spectral Properties of the Ruelle Operator for Product Type Potentials on Shift Spaces",

joint work with L. Cioletti, M. Denker and M. Stadlbauer, Journal of the London Mathematical Society - Volume 95, Issue 2, 684–704 (2017) MR3656287

81) "Semiclassical limits, Lagrangian states and coboundary equations",

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Vol 17. N 2, 1750014 (19 pages) Stoch. and Dynamics (2017) MR3626745

80) "Duality between Eigenfunctions and Eigendistributions of Ruelle and Koopman operators via an integral kernel"

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Stoch. and Dynamics, 16 , 1660011 - 22 -pages - vol 3 (2016) MR3471364

79) "Contraction in the Wasserstein metric for some Markov chains, and applications to the dynamics of expanding maps",

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Nonlinearity, 28, Number 11, 4117–4137 (2015) MR3424906

78) "Generic properties for random repeated quantum iterations",

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Quantum Studies: Mathematics and Foundations, Vol 2, pp 389-402 (2015) MR3412580

77) "Entropy, Pressure and Duality for Gibbs plans in Ergodic Transport"

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76) " Entropy and Variational Principle for one-dimensional Lattice Systems with a general a-priori probability: positive and zero temperature"

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

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Dynamics, Games and Science -International Conference and Advanced School Planet Earth DGS II, Portugal (2013), Edit. J-P Bourguignon, R. Jelstch, A. Pinto and M. Viana, Springer Verlag, pp 357-398 (2015) MR3675753

74) "Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach"

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Journ. of Statistical Physics, 159 - Issue 6, 1424–1455 (2015) MR3350377

73) "Large Deviations for stationary probabilities of a family of continuous time Markov chains via Aubry-Mather theory"

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

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Dynamical Systems: an Int. Journ. Vol 30. Issue 1, 1-12 (2015) MR3304972

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

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"Modeling, Optimization, Dynamics and Bioeconomy I", Springer Proceedings in Mathematics and Statistics, Volume 73, Edit. David Zilberman and Alberto Pinto, 183-219 (2014) MR3297616

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

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Dyn. Systems: an Int. Jour. Vol 29, Issue 1 (2014) pp 24-39 MR3170635

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

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Erg. Theo. and Dyn. Systems, Volume 33, issue 05, pp. 1338--1362 (2013) MR3103086

68) "Ergodic Optimization, Zero Temperature Limits and the Max-Plus Algebra"

joint work with A. Baraviera and R. Leplaideur, mini-course in XXIX Coloquio Brasileiro de Matemática (2013) MR3114331

67) "A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli Space: entropy, pressure and large deviations"

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

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Stoch. and Dynamics, Vol 13 - N 1, 1250009 (13 pages) (2013) MR3007247

65) "Ergodic Transport Theory and Piecewise Analytic Subactions for Analytic Dynamics"

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Bull. of the Braz. Math Soc. Vol 43 (3) 467-512 (2012) MR3024067

64) "Duality Theorems in Ergodic Transport"

joint work with J. Mengue, Journal of Statistical Physics. Vol 149, issue 5, pp 921–942 (2012) MR2999567

63) "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, 152-183 (2012) MR2982772

62) "The potential point of view for renormalization",

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Stochastic and Dynamics, Vol 12. N 4, (2012) 1250005(1-34) MR2990585

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

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SIAM Journal on Applied Dynamical Systems, Vol. 11, n 1, 243-260 (2012) MR2902616

60) "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) MR2864625

59) "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) MR2883277

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

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Dynamics, Games and Science I, DYNA 2008, Edit. M. Peixoto, A. Pinto and D Rand, pp 81-122 Springer Verlag (2011) MR3051429

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

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Disc. and Cont. Dyn. Syst. A. Vol 29, N 3, pp 1155-1174 -(2011) MR2773169

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

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"Communications in Contemporary Mathematics", Vol 13, issue 2, 235-268 (2011) MR2794485

55) "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) MR2859245

54) "Zeta measures and Thermodynamic Formalism for temperature zero"

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Bull. of the Bras. Math. Soc 41 (3) pp 449-480 (2010) MR2718151

53) "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) MR2629875

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

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"Real Analysis Exchange", Vol 35 , Issue 2, pp 355-374 (2010) MR2683603

51) "A Ruelle Operator for continuous time Markov Chains"

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Sao Paulo Journal of Mathematical Sciences, vol 4 n. 1, pp 1-16 (2010) MR2760963

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

joint work with Diogo Gomes and N. Jung

, Commun. Contemporary Mathematics, Vol 12, Issue 5, pp 789-813 MR2733198 (2010)

49) "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) MR2563132

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

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"Disc. and Cont. Dyn. Systems" (Series A) Vol 23, N 3, 937-955 (2009) MR2461833

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

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"Real Analysis Exchange" Vol 34 , Issue 2, 333-346 (2009) MR2569191

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

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Bull. Soc. Bras. Math. Vol 40 n 1, (2009), 1-52 MR2496111

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

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Sao Paulo Journal of Mathematical Sciences 2, 1 (2008), 285–307 MR2503825

44) "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 MR2502621

43) "Eigenfunctions of the Laplacian and associated Ruelle operator ",

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, "Nonlinearity", Volume 21, Number 10, pp-2239-2254 (2008) MR2439478

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

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Ergodic Theory and Dynamical Systems, v. 28, issue 3, pp 791-815 (2008) MR2422016

41) "Functions for relative maximization",

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Dynamical Systems, v. 22, 511-528, 2007 MR2377213

40) "Cohomology and Subcohomology for expansive geodesic flows",

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"Discrete and Continous Dynamical Systems" Volume: 17, N. 2, pp 403-422 (2007) MR2257442

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

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"Stochastics and Dynamics" Vol 6, n.1,- pp 77-96 (2006) MR2210682

38) ``Mather measures and

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37) ``Subactions for Anosov

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Erg Theo and Dyn Syst vol 25 Issue 2, pp605-628 (2005) MR2129112

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

relations and Thermodynamic Formalism",

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Vol 24, pp 1051-1082 Erg Theo and Dyn Syst (2004) MR2085390

35) ``Subactions for Anosov

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Asterisque Vol 287 pp 135-146 ( 2003) MR2040005

34) ``Convergence in distribution

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"Stochastic and Dynamics", vol 2, Issue 4 pp 609-624 (2002) MR1949304

33) ``Exact bounds for the polynomial

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

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32) ``Lyapunov minimizing measures

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"Ergodic Theory and Dynamical Systems" , vol 21, Issue 5 pp 1379-1409 (2001) MR1855838

31) `` 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) MR1775717

30) ``Large deviations for expanding transformations with additive white noise"

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J. Statist. Phys. 98 (2000), no. 5-6, 1311–-1333 MR1751702

29)"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) MR1720511

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

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27) ``Parametric estimation and spectral analysis of piecewise linear maps of the interval. "

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26)" Generic Properties of open billiards"

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23) "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) MR1429841

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

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"SIAM Journal of Applied Mathematics", Vol 56, Issue 2, april, pp 651-680, 1996 MR1381665

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

trabalho conjunto com Silvia Lopes , "Stochastic Analysis and Applications",

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Rebrape 10 (1996), no. 2, 151–179 MR1429841

19) ``The Theta Group and the Continued

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

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