400 research outputs found
Convergence properties of symmetrization processes
Full text linkSteiner symmetrization is well known for its rounding and general convergence
properties. We identify a whole family of symmetrizations sharing analogue
behaviors: In fact we prove that all these symmetrizations share the same
converging symmetrization processes, together with some pathological phenomena
Generalization of Klain's Theorem to Minkowski Symmetrization of compact sets and related topics
Full text linkWe shall prove a convergence result relative to sequences of Minkowski
symmetrals of general compact sets. In particular, we investigate the case when
this process is induced by sequences of subspaces whose elements belong to a
finite family, following the path marked by Klain in [13], and the
generalizations in [4] and [2]. We prove an analogue result for Fiber
symmetrization of a specific class of compact sets. The idempotency for
symmetrization of this family of sets is investigated, leading to a simple
generalization of a result from Klartag [14] regarding the approximation of a
ball through a finite number of symmetrizations, and generalizing an
approximation result in [9
Modern aspects of convexity and the interplay between geometry and analysis
Full text linkIn this thesis, we explore the interactions between geometry and analysis in the world of convex geometry. In particular, we mix techniques from the world of convex and functional analysis together with some from non-smooth differential geometry, finding new interpretations of various phenomena appearing in recent developments in convexity. This work has three main focuses: First variations for volumes of convex functions, characterization results for valuations on convex functions, and convergence properties of symmerizations processes
Jacopo Sadoleto: De Laocoontis statua (1506) (FONTES 5)
No full textWhen the statue of Laocoon and his two sons in the clutch of the serpents was discovered near the Colosseum at the beginning of 1506 the excitement was great, and young Jacopo Sadoleto, later a cardinal, then a devoted humanist, composed a poem on this masterpiece based on classical verse. Sadoleto’s text is not without echoes of Vergil’s famous lines about Laocoon and his fate, and with an astonishingly independent judgment on the quality of the subject. This text has been printed in various modern publications on Sadoleto, respect to the Laocoon, but only the edition by the present author, produced in 1992, offered a critical text based on a comparison of all extant printed versions from the 16th and 17th centuries, along with a brief linguistic commentary. Since no other attempt to recover the original text and no more recent commentary have hitherto appeared, the text and commentary of the 1992 publication are here reprinted in a partly abridged, partly enlarged form in order to provide the interested scholar with a reliable text and some linguistic basics as materials for further interpretation
Plausibility or truth. Archival notes and reflections on the canvas of the ‘Militant and triumphant Church’ ascribed to Jacopo Zucchi
No full textWhile retracing the traditional history of the painting, which was fi rst ascribed to Federico Zuccari and later to
Jacopo Zucchi, the author hereby presents the long and painstaking research that has gradually confi rmed this
second hypothesis. The reader will, therefore, fi nd a synthesis of the history of this painting, which was surely
enough fi rst hosted in St Peter's Basilica, then moved to the Church of St Catherine of Alexandria and fi nally to
the Vatican Sacristy. Based on a number of inconsistencies which emerged during archival research, doubts still persist with regard to
the historicity of this historical-artistic tradition. Despite the fact that scholars are fi rmly inclined to ascribe the
painting to Zucchi, some unpublished documents tend to undermine this assumption, while still implying that the
painting might be by an artist of the Zuccari famil
Il generale si candida. Élite militare e competizione elettorale nell'Italia liberale
No full textConsidering the military as an élite among the others that ruled the Italian liberal state, the author proposes an analysis of some election campaigns in which high-ranking army officers were involved as candidates. The social networks and the personal strategies implemented by the officers are shown through their private and family archives, in particular the one related to count Luigi Majnoni d’Intignano, a Lombard aristocrat who ran for a seat twice, and under very different conditions. In the end, the research allows a deep rethinking about the role and the representation of the relationship between Italian military élite and politics before the Great War
First variation of functional Wulff shapes
Full text linkWe introduce functional Wulff shapes based on the classical construction for
compact convex sets. With this new tool, we establish a functional version of
Aleksandrov's variational lemma in the family of convex functions with compact
domain. The resulting formula is then applied to evaluate the first variation
of a class of functionals on convex functions. In particular, we extend a
recent result by Huang, Liu, Xi, and Zhao.Comment: Adjusted hypothesis on the family of perturbations. Section 3
rewritten and Section 5 removed. Comments are welcom
Francisco de Assis na Legenda Áurea de Jacopo de Varazze
No full textO objetivo deste artigo é propor uma análise da presença de São Francisco de Assis na Legenda Áurea e os recursos intelectuais de seu autor, Jacopo de Varazze, quase sempre utilizados com o fim de evangelizar e responder às novas necessidades espirituais dos séculos XII e XIII, nos sermões dos dominicanos. Para tanto será discutido o contexto histórico desse período como grande responsável, não apenas pela formação do clérigo Jacopo de Varazze e sua obra, mas também pelo surgimento das ordens mendicantes e seus idealizadores. The purpose of this article is to propose an analysis about the presence of Saint Francis of Assisi in the Golden Legend and the intelectual prowess of its author, Jacopo de Varazze, often used in order to evangelize and meet the spiritual needs of the Twelfth and Thirteenth Centuries, in the sermons of the domicians. To do so will discuss the historical context of this period as largely responsible, not only for the formation of Jacopo de Varazze and his work, but also by the emergence of the mendicant orders and their creators
Jacopo Sansovino a ca’ Tiepolo
Full text linkUsing unpublished documents of the Venetian State Archive, the author tries to reconstruct the history of the
former Tiepolo palace in the ward of San Felice as well as a precise chronology of the restoration works conducted
by Jacopo Sansovino in 1560 for Alvise Tiepolo, Procurator of Saint Mark’s. It appears that the architect
not only consolidated the foundations, but also divided the palace in two independent houses using a doubleramp
interior staircase according to a typical 16th century and remade the windows of the lower piano nobile
Entire Monge-Amp\`ere equations and weighted Minkowski problems
Full text linkIn this short note, we prove the existence of solutions to a Monge-Amp\`ere
equation of entire type derived by a weighted version of the classical
Minkowski problem
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