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Iambic poetics in the Roman Empire
\"This is the first book to study the impact of invective poetics associated with early Greek iambic poetry on Roman imperial authors and audiences. It demonstrates how authors as varied as Ovid and Gregory Nazianzen wove recognizable elements of the iambic tradition (e.g. meter, motifs, or poetic biographies) into other literary forms (e.g. elegy, oratorical prose, anthologies of fables), and it shows that the humorous, scurrilous, efficacious aggression of Archilochus continued to facilitate negotiations of power and social relations long after Horace's Epodes. The eclectic approach encompasses Greek and Latin, prose and poetry, and exploratory interludes appended to each chapter help to open four centuries of later classical literature to wider debates about the function, propriety and value of the lowest and most debated poetic form from archaic Greece. Each chapter presents a unique variation on how these imperial authors became Archilochus - however briefly and to whatever end\"-- Provided by publisher.
Book
Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
There are two main interrelated goals of this paper. Firstly we investigate the sums
eBook
Plutarch's rhythmic prose
Greek literature is divided, like many literatures, into poetry and prose, but in Greek the difference between them is not that all prose is devoid of firm rhythmic patterning. In the earlier Roman Empire, from 31 BC to about AD 300, much Greek (and Latin) prose was actually written to follow one organized rhythmic system. How much Greek prose adopted this patterning has hitherto been quite unclear; the present volume for the first time establishes an answer on an adequate basis: substantial data drawn from numerous authors. It constitutes the first extensive study of prose-rhythm in later Greek literature.
BOOK
Bibliometrics: tracking research impact by selecting the appropriate metrics
Traditionally, the success of a researcher is assessed by the number of publications he or she publishes in peer-reviewed, indexed, high impact journals. This essential yardstick, often referred to as the impact of a specific researcher, is assessed through the use of various metrics. While researchers may be acquainted with such matrices, many do not know how to use them to enhance their careers. In addition to these metrics, a number of other factors should be taken into consideration to objectively evaluate a scientist's profile as a researcher and academician. Moreover, each metric has its own limitations that need to be considered when selecting an appropriate metric for evaluation. This paper provides a broad overview of the wide array of metrics currently in use in academia and research. Popular metrics are discussed and defined, including traditional metrics and article-level metrics, some of which are applied to researchers for a greater understanding of a particular concept, including varicocele that is the thematic area of this Special Issue of Asian Journal of Andrology. We recommend the combined use of quantitative and qualitative evaluation using judiciously selected metrics for a more objective assessment of scholarly output and research impact.
Journal Article
Theoretically and Computationally Convenient Geometries on Full-Rank Correlation Matrices
In contrast to SPD matrices, few tools exist to perform Riemannian statistics on the open elliptope of full-rank correlation matrices. The quotient-affine metric was recently built as the quotient of the affine-invariant metric by the congruence action of positive diagonal matrices. The space of SPD matrices had always been thought of as a Riemannian homogeneous space. In contrast, we view in this work SPD matrices as a Lie group and the affine-invariant metric as a left-invariant metric. This unexpected new viewpoint allows us to generalize the construction of the quotient-affine metric and to show that the main Riemannian operations can be computed numerically. However, the uniqueness of the Riemannian logarithm or the Fréchet mean are not ensured, which is bad for computing on the elliptope. Hence, we define three new families of Riemannian metrics on full-rank correlation matrices which provide Hadamard structures, including two flat. Thus the Riemannian logarithm and the Fréchet mean are unique. We also define a nilpotent group structure for which the affine logarithm and the group mean are unique. We provide the main Riemannian/group operations of these four structures in closed form.
Journal Article
The ambient metric
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics.
eBook
Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume
The simplicial volume is a homotopy invariant of manifolds introduced by Gromov in his pioneering paper
The first aim of this paper is to lay the foundation of the theory of
multicomplexes. After setting the main definitions, we construct the singular multicomplex
In the second part of this work we apply the theory of multicomplexes to the study of the bounded
cohomology of topological spaces. Our constructions and arguments culminate in the complete proofs of Gromov’s Mapping Theorem (which
implies in particular that the bounded cohomology of a space only depends on its fundamental group) and of Gromov’s Vanishing Theorem,
which ensures the vanishing of the simplicial volume of closed manifolds admitting an amenable cover of small multiplicity.
The
third and last part of the paper is devoted to the study of locally finite chains on non-compact spaces, hence to the simplicial volume
of open manifolds. We expand some ideas of Gromov to provide detailed proofs of a criterion for the vanishing and a criterion for the
finiteness of the simplicial volume of open manifolds. As a by-product of these results, we prove a criterion for the
eBook
Assessing the Reliability of Isometric Benchmark Tests and Their Relationship to Performance Characteristics in Elite Track Sprint Cyclists
For the performance outcome metric, cyclists completed a third session within seven days to assess peak power output on an inertial load cycle ergometer. A moderate to excellent positive and significant correlation (r = 0.52–0.94, p ≤ 0.023) was identified between five benchmark tests and the inertial load cycle ergometer peak power performance metric. Which is significant since lower back injuries are reported as one of the highest burdens in sprint track cycling and time-loss injuries have a negative impact on performance.
Journal Article