Translation of Longus: 'Daphnis and Chloe'

A translation into English of 'Daphnis and Chloe', the ancient Greek novel by Longus.

Generalized beta generated distributions

This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an additional shape parameter is needed to add entropy to the centre of the parent distribution. This parameter controls skewness without necessarily differentiating tail weights. The GBG class also has tractable properties: we present various expansions for moments, generating function and quantiles. The model parameters are estimated by maximum likelihood and the usefulness of the new class is illustrated by means of some real data sets.

Barbara Torelli Benedetti, Partenia, a pastoral play. A bilingual edition edited with notes and translation

This edition presents for the first time in print what is probably the earliest known secular, 'regular' play by a woman in Italy. As suggested in the introduction to the work, Torelli's play offers a fascinating example of female dramaturgy and creative adaptation of the pastoral genre in the context of late sixteenth-century Parma. Critical textual study is combined with new biographical material on the author and her literary milieu. The edition provides the first detailed palaeographical study of the complex Cremona manuscript of the play, which unusually includes emendations thought to be in the hand of the author herself (besides others). The transcription also describes for the first time in detail a newly discovered second manuscript of the play in Rome. The play-text is presented in the original Italian with a new facing English translation. Also included is the first transcription of the paratextual verse from the Cremona manuscript and the first transcribed collection of the author’s extant verse (both with translation).

Translating Lucretia: word, image and 'ethical non-indifference' in Simon de Hesdin's translation of Valerius Maximus's 'Facta et dicta memorabilia'

An analysis of how illustrations functioned as a distinctive and important aspect of the translation of Latin versions of the story of the rape and suicide of Lucretia into Middle French texts, especially the 'Faits et dits memorables' (a translation-adaptation of Valerius Maximus's 'Facta et dicta memorabilia'). The study focuses on a selection of 14th- and 15th- century illuminations, and proposes also that the early modern 'Lucretia' portrait tradition should be viewed in the context of these images.

Response theory for equilibrium and non-equilibrium statistical mechanics: causality and generalized Kramers-Kronig relations

We consider the general response theory recently proposed by Ruelle for describing the impact of small perturbations to the non-equilibrium steady states resulting from Axiom A dynamical systems. We show that the causality of the response functions entails the possibility of writing a set of Kramers-Kronig (K-K) relations for the corresponding susceptibilities at all orders of nonlinearity. Nonetheless, only a special class of directly observable susceptibilities obey K-K relations. Specific results are provided for the case of arbitrary order harmonic response, which allows for a very comprehensive K-K analysis and the establishment of sum rules connecting the asymptotic behavior of the harmonic generation susceptibility to the short-time response of the perturbed system. These results set in a more general theoretical framework previous findings obtained for optical systems and simple mechanical models, and shed light on the very general impact of considering the principle of causality for testing self-consistency: the described dispersion relations constitute unavoidable benchmarks that any experimental and model generated dataset must obey. The theory exposed in the present paper is dual to the time-dependent theory of perturbations to equilibrium states and to non-equilibrium steady states, and has in principle similar range of applicability and limitations. In order to connect the equilibrium and the non equilibrium steady state case, we show how to rewrite the classical response theory by Kubo so that response functions formally identical to those proposed by Ruelle, apart from the measure involved in the phase space integration, are obtained. These results, taking into account the chaotic hypothesis by Gallavotti and Cohen, might be relevant in several fields, including climate research. In particular, whereas the fluctuation-dissipation theorem does not work for non-equilibrium systems, because of the non-equivalence between internal and external fluctuations, K-K relations might be robust tools for the definition of a self-consistent theory of climate change.