Calculus of Variations with Classical and Fractional Derivatives

MSC 2010: 49K05, 26A33

On Some Generalizations of Classical Integral Transforms

MSC 2010: 44A15, 44A20, 33C60

Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series

2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.

Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method

2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.

Nemlineáris dinamika klasszikus növekedési modellekben (Nonlinear dynamics in classical economic growth models)

Ebben a tanulmányban a klasszikus Harrod növekedési modellt nemlineáris kiterjesztéssel, keynesi és schumpeteri tradíciók bevezetésével reprezentatív ügynök modellbe alakítjuk. A híres Lucas kritika igazolásaként megmutatjuk, hogy az intrinsic gazdasági növekedési ütemek trajektóriái vagy egy turbulens káoszba szóródnak szét, vagy egy nagyméretű rendhez vezetnek, ami elsődlegesen a megfelelő fogyasztási függvény típusától függ, s bizonyos paraméterek piaci értékei, pedig csak másodlagos szerepet játszanak. A másik meglepő eredmény empirikus, ami szerint külkereskedelmi többlet, a hazai valuta bizonyos devizapiaci értékei mellett, különös attraktorokat generálhat. _____ In this paper the classical Harrodian growth model is transformed into a representative agent model by its nonlinear extensions and the Keynesian and Schumpeterian traditions. For the proof of the celebrated Lucas critique it is shown that the trajectories of intrinsic economic growth rates either are scattered into a turbulent chaos or lead to a large scale order. It depends on the type of the appropriate consumption function, and the market values of some parameters are playing only secondary role.Another surprising result is empirical: the international trade su±cit may generate strange attractors under some exchange rate values.

Atlas sculpture at Rockefeller Center

General note: Title and date provided by Bettye Lane.

Artist Lora Pennington with her bronze metal sculpture of Georgia O'Keefe

General note: Title and date provided by Bettye Lane.

Globalizing the Sculptural Landscapes of the Sarapis and Isis Cults in Hellenistic and Roman Greece

“Globalizing the Sculptural Landscape of Isis and Sarapis Cults in Roman Greece,” asks questions of cross-cultural exchange and viewership of sculptural assemblages set up in sanctuaries to the Egyptian gods. Focusing on cognitive dissonance, cultural imagining, and manipulations of time and space, I theorize ancient globalization as a set of loosely related processes that shifted a community's connections with place. My case studies range from the 3rd century BCE to the 2nd century CE, including sanctuaries at Rhodes, Thessaloniki, Dion, Marathon, Gortyna, and Delos. At these sites, devotees combined mainstream Greco-Roman sculptures, Egyptian imports, and locally produced imitations of Egyptian artifacts. In the last case, local sculptors represented Egyptian subjects with Greco-Roman naturalistic styles, creating an exoticized visual ideal that had both local and global resonance. My dissertation argues that the sculptural assemblages set up in Egyptian sanctuaries allowed each community to construct complex narratives about the nature of the Egyptian gods. Further, these images participated in a form of globalization that motivated local communities to adopt foreign gods and reinterpret them to suit local needs.

I begin my dissertation by examining how Isis and Sarapis were represented in Greece. My first chapter focuses on single statues of Egyptian gods, describing their iconographies and stylistic tendencies through examples from Corinth and Gortyna. By comparing Greek examples with images of Sarapis, Isis, and Harpokrates from around the Mediterranean, I demonstrate that Greek communities relied on globally available visual tropes rather than creating site or region-specific interpretations. In the next section, I examine what other sources viewers drew upon to inform their experiences of Egyptian sculpture. In Chapter 3, I survey the textual evidence for Isiac cult practice in Greece as a way to reconstruct devotees’ expectations of sculptures in sanctuary contexts. At the core of this analysis are Apuleius’ Metamorphoses and Plutarch’s De Iside et Osiride, which offer a Greek perspective on the cult’s theology. These literary works rely on a tradition of aretalogical inscriptions—long hymns produced from roughly the late 4th century B.C.E. into the 4th century C.E. that describe the expansive syncretistic powers of Isis, Sarapis, and Harpokrates. This chapter argues that the textual evidence suggests that devotees may have expected their images to be especially miraculous and likely to intervene on their behalf, particularly when involved in ritual activity inside the sanctuary.

In the final two chapters, I consider sculptural programs and ritual activity in concert with sanctuary architecture. My fourth chapter focuses on sanctuaries where large amounts of sculpture were found in underground water crypts: Thessaloniki and Rhodes. These groups of statues can be connected to a particular sanctuary space, but their precise display contexts are not known. By reading these images together, I argue that local communities used these globally available images to construct new interpretations of these gods, ones that explored the complex intersections of Egyptian, Greek, and Roman identities in a globalized Mediterranean. My final chapter explores the Egyptian sanctuary at Marathon, a site where exceptional preservation allows us to study how viewers would have experienced images in architectural space. Using the Isiac visuality established in Chapter 3, I reconstruct the viewer's experience, arguing that the patron, Herodes Atticus, intended his viewer to inform his experience with the complex theology of Middle Platonism and prevailing elite attitudes about Roman imperialism.

Throughout my dissertation, I diverge from traditional approaches to culture change that center on the concepts of Romanization and identity. In order to access local experiences of globalization, I examine viewership on a micro-scale. I argue that viewers brought their concerns about culture change into dialogue with elements of cult, social status, art, and text to create new interpretations of Roman sculpture sensitive to the challenges of a highly connected Mediterranean world. In turn, these transcultural perspectives motivated Isiac devotees to create assemblages that combined elements from multiple cultures. These expansive attitudes also inspired Isiac devotees to commission exoticized images that brought together disparate cultures and styles in an eclectic manner that mirrored the haphazard way that travel brought change to the Mediterranean world. My dissertation thus offers a more theoretically rigorous way of modeling culture change in antiquity that recognizes local communities’ agency in producing their cultural landscapes, reconciling some of the problems of scale that have plagued earlier approaches to provincial Roman art.

These case studies demonstrate that cultural anxieties played a key role in how viewers experienced artistic imagery in the Hellenistic and Roman Mediterranean. This dissertation thus offers a new component in our understanding of ancient visuality, and, in turn, a better way to analyze how local communities dealt with the rise of connectivity and globalization.

Musculoskeletal effects and injury risk in collegiate Indian classical and ballet dancers

Dancers of all forms often engage in aesthetic yet challenging movements. Their training, choreography, and performances require strength, stamina, flexibility, grace, passion, and emotion. Ballet and Bharatanatyam (an Indian classical dance form) dancers utilize two movements in each of their dance forms that are similar—a half-sitting pose and a full-sitting pose, both requiring external rotation of the legs and bending at the knee joints. The purpose of this study was to examine and compare the biomechanics of joint reaction forces and knee angles in both styles of dance for these particular poses. The study included nine female ballet dancers and seven female Bharatanatyam dancers. Hamstring and gastrocnemius flexibility were measured for each dancer. Knee angles, vertical peak forces, and moments were determined for dancers at the lowest point of their bending positions. Mann-Whitney U tests found significant differences in hamstring flexibility, right gastrocnemius flexibility, and knee angles for the full-sitting poses between ballet and Bharatanatyam dancers. No significant difference was found in the vertical peak forces as a ratio to total body weight and moments between the two styles of dance. Further research can be done to more directly assess a difference in injury risk between the ballet and Bharatanatyam dancers.

RELIGIOUS SCULPTURE OF THE CHILOÉ ARCHIPELAGO, FROM THE 17TH TO THE 21ST CENTURY

Despite its central role in religious life of the region, the sculptural tradition of the Southern Chilean Chiloé Archipelago, ranging from the 17th century to the present day, has been vastly understudied. Isidoro Vázquez de Acuña’s 1994 volume Santeria de Chiloe: ensayo y catastro remains the only catalogue of Chilote sculpture. Though the author includes photographs of a vast array of works, he does not attempt to place the sculptures within a chronology, or consider their place within the greater Latin American context. My thesis will place this group of works within a chronological and geographical context that reaches from the 16th century to the present day, connected to the artistic traditions of regions as far afield as Paraguay and Lima. I will first consider the works brought to the Archipelago by religious orders – the Jesuits and Franciscans – as well as influences on artistic style and religious culture throughout the 17th, 18th and 19th centuries. I will focus in particular on three works generally considered to be from the 17th and 18th centuries – the Virgin of Loreto at Achao, the Saint Michael at Castro, and the Jesus Nazareno of Caguach – using visual analysis and sifting through generations of primary and secondary sources to determine from where and when these sculptures came. With this investigation as a foundation, I will consider how they inspired vernacular sculptural expression and trace ‘family trees’ of vernacular works based on these precedents. Vernacular artistic traditions are often viewed as derivative and lacking in skill, but Chilote sculptors in fact engaged with a variety of outside influences and experimented with different sculptural styles. I will conclude by considering which aspects of these styles Chilote artists chose to incorporate into their own work, alter or exclude, artistic decisions that shed light on the Archipelago’s religious and cultural fabric.

The Capital Sculpture of Wells Cathedral, c. 1184-1210

The understudied capital sculpture of Wells Cathedral in Somerset, England (c. 1184-1210) provides ample opportunity of expanding the current scholarship and understanding of interior ecclesiastical sculpture in a West Country cathedral. While the Gothic style of architecture is typically understood as, according to Paul Binski (2014), rational in execution and reception, the capital sculpture at Wells Cathedral has been considered illogical in terms of both its iconography and location within the nave, transepts, and north porch. Utilizing Michael Camille’s post/anti-iconographical approach, this project examines the Wells figural capitals in five case studies: labour, Old and New Testament Scenes, animals and beast fables, busts, and monsters and hybrids. Each group of capitals will be approached with an understanding that this type of art was viewed by people of different classes and professions, with each viewer bringing their own personal experiences and abilities into how they could have read and understood these types of images. Therefore, the capitals at Wells must be read through layers of meaning and interpretation while also considering their locations within the cathedral and how they react and respond to surrounding figural capitals.

Modern British Sculpture Catalogue

From Leighton to Lucas this fascinating book explores sculpture in Britain from the end of the Victorian era to the dawn of the new millennium. With incisive essays, and previously unpublished archive material, this compelling book documents the seismic shifts in sculpture in the last century. Edited by Penelope Curtis (former Curator of the Henry Moore Institute, now Director of the Tate Britain) and Keith Wilson (Sculptor, tutor at the Royal College of Art and Reader in Fine Art at University of Westminster).

Jan Steen and The doctor’s visit: Classical Tradition in Golden Age Dutch painting (1st Part)

First one of a two-part analysis on the influence of the Classical Tradition on a favourite theme along the Dutch painters of the Golden Age, The doctor’s visit or The lovesick maiden, especially in the Leiden artist’s production, Jan Steen (1626-1679).

Tifones y gigantes en el mundo macedonio: el rey como símbolo del orden cósmico

Este artículo analiza la existencia de un posible ritual en la antigua Macedonia que fuese similar al Akîtu babilonio. Pensamos que la victoria de Zeus sobre sus enemigos en la gigantomaquia y tifonomaquia fue celebrada por los reyes macedonios para fortalecer su posición en el poder. Aunque no hay evidencias directas de ello, tenemos una serie de diferentes fuentes en las cuales los macedonios están relacionados directa o indirectamente con Tifón y los gigantes. Además, la estratégica importancia del monte Olimpo para los macedonios nos hace pensar que la victoria de Zeus sobre las fuerzas del mal fue conmemorada de alguna forma por ellos.

Civic Humanism and the Classical Tradition in the Early Republic of Chile

The first decades of the 19th century constituted a period of profound change for Chile, the principal results of which were to be seen in the consolidation of the process of independence from Spanish dominion in 1818. The consequences were not limited to a revolution of military and political nature; they also included a renovation of the cultural panorama -at least among the educated patriots who made an effort to distance themselves ideologically from the Monarchy-, with the implicit challenge of establishing a new order for Chile, based on legitimate and universally recognizable foundations. The inspirational framework for these efforts is usually associated with other revolutionary examples -France and the United States- that preceded the emancipation processes in Spanish America, as well as with the discourses of illustrated liberalism. As we will attempt to demonstrate in this study, a new reading of the texts written by the Creoles that lead the Chilean independence process may, nonetheless, also reveal the relevance of the classical tradition as a model for the configuration and legitimization of the first Republican projects that especially admired the ideals of Republicanism.