Production Monitoring of Condensate Gas Ratio Transients Based on Dynamics of Produced Fluid Composition

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Rarita-Schwinger Field in the AdS/CFT Correspondence

A free Rarita-Schwinger field in the Anti-de Sitter space is considered. We show that the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal field theory on the boundary of the Anti-de Sitter space.Comment: 9 pages, Late

Chasing Success: A Cultivated Reality

George Gerbner’s cultivation theory claims that people who consume heavy amounts of media are more likely to be influenced by those messages to believe the media reality as opposed to actual reality. Using cultivation theory as the basis for study, I performed a cultivation analysis examining the intersection of mass media and perceptions of success among college-aged young adults living in the United States. The analysis focused on three main points: (1) How mass media perceives and subsequently demonstrates success. (2) The impact of mass media on young adults living in America. (3) What reality of success is cultivated by these young adults. The top five most-watched music videos from the past five years were analyzed for perceptions of success. Seventy-nine students from Bryant University were surveyed. A message analysis of the music videos revealed that wealth as well as conformity to certain standards of physical perfection and gender-specific behaviors were key elements of success. This study found that college-aged young adults who are heavier consumers of music videos tended to share the perceptions of success as perpetuated by the media over those who are light viewers. However, there were certain elements of success where the intersection of college-aged young adults’ perceptions of success and media were more nuanced and complicated

Lax pair formulation in the simultaneous presence of boundaries and defects

Inspired by recent results on the effect of integrable boundary conditions on the bulk behavior of an integrable system, and in particular on the behavior of an existing defect we systematically formulate the Lax pairs in the simultaneous presence of integrable boundaries and defects. The respective sewing conditions as well as the relevant equations of motion on the defect point are accordingly extracted. We consider a specific prototype i.e. the vector non-linear Schr\"{o}dinger (NLS) model to exemplify our construction. This model displays a highly non-trivial behavior and allows the existence of two distinct types of boundary conditions based on the reflection algebra or the twisted Yangian.Comment: 19 pages, Latex. A few comments and clarifications added. Version to appear in J. Phys.

A „Divine Sanction” on the Revolt: The Cult of St. Demetrios of Thessalonike and the Uprising of Peter and Asen (1185–1186)

The paper examines the role of the cult of St. Demetrius of Thessalonica as a tool of maintaining legitimacy of the anti-Byzantine revolt in Tărnovo, 1185–1186, led by brothers Theodore- Peter and Asen-Belgun, which is viewed in the modern scholarship as a starting point of the history of the so-called Second Bulgarian Empire. Apart from the peculiarities of the official and popular veneration of St. Demetrius in Byzantium by the end of the 12th C., the main emphasis is made on the celebration, arranged in Tărnovo on St. Demetrius’ day, 1185, by Peter and Asen. The fact of the construction there of a special house of prayer in the name of the all-praised martyr Demetrius (Nicetas Choniates) and the presence of a certain icon of the saint as well as, probably, that of his relic, shedding the holy ointment, can be interpreted in terms of the concept of “hierotopy”, introduced recently by A. Lidov. At any rate, one can speak of attempting to replicate in Tărnovo the sacred space of the Thessalonican shrine of St. Demetrius in order to convince the Bulgarian rebels of the “true” presence of St. Demetrius among them. The parallel is drawn between the celebration in Tărnovo and another well-known “hierotopic project” of the late 12th cent., performed by prince Vsevolod III in Vladimir-on-Kljaz’ma, Russia, which also encompassed the construction of the church in the name of St. Demetrius, where his miracle- working relics from Thessalonica were housed. The similarity between the two “projects“ is obvious, but they must have been inspired by clearly different causes: if Vsevolod III tried only to raise the authority of his power to that of the grand princedom, being an absolutely legitimate ruler, then Peter and Asen had to justify the legitimacy of their own, questioning that of the Byzantine Empire

Adaptive Mirror Descent for Constrained Optimization

This paper seeks to address how to solve non-smooth convex and strongly convex optimization problems with functional constraints. The introduced Mirror Descent (MD) method with adaptive stepsizes is shown to have a better convergence rate than MD with fixed stepsizes due to the improved constant. For certain types of constraints, the method is proved to generate dual solution. For the strongly convex case, the restart technique is applied