This paper is an interval dynamics counterpart of three theories founded earlier by the authors, S. Smirnov and others in the setting of the iteration of rational maps on the Riemann sphere: the equivalence of several notions of non-uniform hyperbolicity, Geometric Pressure, and Nice Inducing Schemes methods leading to results in thermodynamical formalism. The authors work in a setting of generalized multimodal maps, that is, smooth maps f of a finite union of compact intervals Iˆ in R into R with non-flat critical points, such that on its maximal forward invariant set K the map f is topologically transitive and has positive topological entropy. They prove that several notions of non-uniform hyperbolicity of f|K are equivalent (including uniform hyperbolicity on periodic orbits, TCE & all periodic orbits in K hyperbolic repelling, Lyapunov hyperbolicity, and exponential shrinking of pull-backs). They prove that several definitions of geometric pressure P(t), that is pressure for the map f|K and the potential −tlog|f′|, give the same value (including pressure on periodic orbits, “tree” pressure, variational pressures and conformal pressure). Finally they prove that, provided all periodic orbits in K are hyperbolic repelling, the function P(t) is real analytic for t between the “condensation” and “freezing” parameters and that for each such t there exists unique equilibrium (and conformal) measure satisfying strong statistical properties.
Transcription (in Spanish) of correspondence between Captain Juan Batista de Anza and Fernando de Rivera y Moncada, military commander of Alta California, 1775-1776, with English translation, and facsimiles of the documents.
On June 25, 1767, royal officials in all Spanish territories, including the Americas, began the process of expelling the members of the Society of Jesus. At the time there were some 2,200-2,400 Jesuits in Spanish America, and they staffed urban colegios and frontier missions. This book provides an overview of Jesuit institutions at the time of the expulsion order, their urban role, and the status of frontier missions focusing on the case study of several issues related to the Missions among the Guaraní in South America. This volume contains a visual catalog of historic maps, and historic and contemporary images of selected Jesuit colegios and other urban institutions.
La Sombra de la dictadura es una novela de la vida real. Es una historia que vivió el pueblo paraguayo en la época de la dictadura, años de sufrimiento y de dolor, un buen día salió de la sombra a luchar por la paz y por la dignidad de su pueblo así empezó la lucha por derrocar al despiadado dictadura. Juan experimento la dictadura con su propia vida, por eso escribió tal como lo sintió los sufrimiento de su pueblo y de la familia paraguaya en aquella época. Fueron crueles los días, fueron días grises y dolorosos aquellos días para todos los pueblos. Escribió con su puño y dolor cada sufrimiento de su pueblo, quedara plasmada por siempre la historia de la familia de esta historia. Juan salió de su país en busca de nuevos horizonte, la dictadura no le dio oportunidad de sobresalir en nada así llego a la tierra de oportunidades y ahora vive en New York tratando de olvidar los tiempos sangrientos de la época de la dictadura.
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