Let ϕ 0 be a smooth area-preserving diffeomorphism of a compact surface M and let Λ 0 be a horseshoe of ϕ 0 with Hausdorff dimension strictly smaller than one. Given a smooth function f : M → R and a small smooth area-preserving perturtabion ϕ of ϕ 0 , let L ϕ,f , resp. M ϕ,f be the Lagrange, resp. Markov spectrum of asymptotic highest, resp. highest values of f along the ϕ-orbits of points in the horseshoe Λ obtained by hyperbolic continuation of Λ 0 .We show that, for generic choices of ϕ and f , the Hausdorff dimension of the sets L ϕ,f ∩ (−∞, t) vary continuously with t ∈ R and, moreover, M ϕ,f ∩ (−∞, t) has the same Hausdorff dimension of L ϕ,f ∩ (−∞, t) for all t ∈ R.√ 221 5 , etc. 2 This dynamical interpretation also has a version in terms of the cusp excursions of the geodesic flow on the modular surface H/SL(2, Z), see [HP] for instance.3 I.e., a non-empty compact invariant hyperbolic set of saddle type which is transitive, locally maximal, and not reduced to a periodic orbit (cf.[PT] for more details).

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Let $g_0$ be a smooth pinched negatively curved Riemannian metric on a complete surface N, and let $\Lambda _0$ be a basic hyperbolic set of the geodesic flow of $g_0$ with Hausdorff dimension strictly smaller than two. Given a small smooth perturbation g of $g_0$ and a smooth real-valued function f on the unit tangent bundle to N with respect to g, let $L_{g,\Lambda ,f}$ (respectively $M_{g,\Lambda ,f}$ ) be the Lagrange (respectively Markov) spectrum of asymptotic highest (respectively highest) values of f along the geodesics in the hyperbolic continuation $\Lambda $ of $\Lambda _0$ . We prove that for generic choices of g and f, the Hausdorff dimensions of the sets $L_{g,\Lambda , f}\cap (-\infty , t)$ vary continuously with $t\in \mathbb {R}$ and, moreover, $M_{g,\Lambda , f}\cap (-\infty , t)$ has the same Hausdorff dimension as $L_{g,\Lambda , f}\cap (-\infty , t)$ for all $t\in \mathbb {R}$ .

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O objetivo principal desta pesquisa foi editar nove manuscritos, do gênero carta pessoal, escritos por sertanejos do semiárido baiano, nas primeiras décadas do século XX, a fim de garantir a preservação da memória e contribuir com a disponibilização de fontes para o estudo linguístico sócio-histórico do português brasileiro.