Genomic Abelian Finite Groups

Experimental studies reveal that genome architecture splits into natural domains suggesting a well-structured genomic architecture, where, for each species, genome populations are integrated by individual mutational variants. Herein, we show that the architecture of population genomes from the same or closed related species can be quantitatively represented in terms of the direct sum of homocyclic abelian groups defined on the genetic code, where populations from the same species lead to the same canonical decomposition into p -groups. This finding unveils a new ground for the application of the abelian group theory to genomics and epigenomics, opening new horizons for the study of the biological processes (at genomic scale) and provides new lens for genomic medicine.

Wright-Fisher Geometry

This chapter introduces the geometric preliminaries needed to analyze generalized Kimura diffusions, with particular emphasis on Wright–Fisher geometry. It begins with a discussion of the natural domains of definition for generalized Kimura diffusions: polyhedra in Euclidean space or, more generally, abstract manifolds with corners. Amongst the convex polyhedra, the chapter distinguishes the subclass of regular convex polyhedra P. P is a regular convex polyhedron if it is convex and if near any corner, P is the intersection of no more than N half-spaces with corresponding normal vectors that are linearly independent. These definitions establish that any regular convex polyhedron is a manifold with corners. The chapter concludes by defining the general class of elliptic Kimura operators on a manifold with corners P and shows that there is a local normal form for any operator L in this class.

On naturally continuous non-dcpo domains

After works of Normann and the author on sequentiality (Normann 2006Mathematical Structures in Computer Science16 (2) 279–289; Normann and Sazonov 2012Annals of Pure and Applied Logic163 (5) 575–603; Sazonov 2007Logical Methods in Computer Science3 (3:7) 1–50), the necessity and possibility of a non-dcpo domain theory became evident. In this paper, the category of continuous dcpo domains is generalized to a category of ‘naturally’ continuous non-dcpo domains with ‘naturally’ continuous maps as arrows. A full subcategory of the latter, assuming a kind of bounded-completeness requirement of domains and presence of ⊥ in each, proves to be Cartesian closed and equivalent to a subclass of Ershov's general A-spaces (Ershov 1974Algebra and Logics12 (4) 369–416). This extends a non-dcpo generalization of Scott (algebraic) domains introduced and proved to be equivalent to Ershov's general f-spaces (Ershov 1972Algebra and Logic11 (4) 367–437) in Sazonov (2007 op. cit.; 2009 Annals of Pure and Applied Logic159 (3) 341–355).The current approach to natural domains (v-domains) is different from f-spaces and A-spaces in that it has arisen in Sazonov (2007 op. cit.) in a different way from defining fully abstract models for some versions of the language PCF over Integers, whereas the Ershov's approach was not initially related with full abstraction, and non-dcpo version of f-spaces and A-spaces were originally considered in an abstract (mainly topological) style. In this paper devoted to naturally continuous natural domains (v-continuous v-domains), we also work in an abstract (mainly order-theoretic) style but with the hope to relate it in the future with the ideas of PCF over Reals by exploring and adapting the ideas in Escardó (1996Theoretical Computer Science162 (1) 79–115), Escardó et al. (2004Mathematical Structures in Computer Science, 14 (6), Cambridge University Press 803–814), Marcial-Romero and Escardó (2007Theoretical Computer Science379 (1-2) 120–141), Sazonov (2007 op. cit.).

Religion, Nature, and Ambiguous Space in Ancient Mesopotamia: The Mountain Wilderness in Old Babylonian Religious Narratives

This article discusses the nexus of religion and nature by means of an investigation of the mountain wilderness space in ancient Mesopotamia. Drawing inspiration from theories of social space and the field of religion and nature, it pays special attention to the mediality of the sources embedding the wilderness space by analyzing the literary-narrative form of a set of Old Babylonian, Sumerian religious narratives related to the deities Inana and Ninurta and the heroes Lugalbanda and Gilgamesh. Contrary to previous research, which has seen the mountain wilderness as a dangerous and inimical chaos region, this article argues that the mountain wilderness is also ascribed benign connotations and functions. It is a wild and dangerous region, but it is also naturally abundant, primeval, and harbors forms of agency and force. It is an arena for magical transformation, heroic acts, and for direct communication with the deities. It is thus a more ambiguous space than has previously been recognized, and it should be understood in the context of the social space of the scribal milieu. Finally, the article suggests that cosmology studies and the relationships between natural domains and deities, in the general history of religions, are reconsidered in light of theories of social space and in light of the mediality of the sources.

Floods effects on rivers morphological changes application to the Medjerda River in Tunisia

In Tunisia especially in the Medjerda watershed the recurring of floods becoming more remarkable. In order to limit this risk, several studies were performed to examine the Medjerda hydrodynamic. The analysis of results showed that the recurrences of floods at the Medjerda watershed is strongly related to the sediment transport phenomena. Initially, a one dimensional modelling was conducted in order to determine the sediment transport rate, and to visualize the river morphological changes during major floods. In continuity of this work, we will consider a two-dimensional model for predicting the amounts of materials transported by the Medjerda River. The goal is to visualize the Medjerda behaviour during extreme events and morphological changes occurred following the passage of the spectacular flood of January 2003. As a conclusion for this study, a comparative analysis was performed between 1D and 2D models results. The objective of these comparisons is to visualize the benefits and limitations of tested models. The analysis of the results demonstrate that 2D model is able to calculate the flow variation, sediment transport rates, and river morphological changes during extreme events for complicated natural domains with high accuracy comparing with 1D Model.

An individual difference in betrayal aversion: Prosociality predicts more risky choices in social but not natural domains

The present study investigated the relationship between betrayal aversion, i.e., the tendency to avoid specifically social risks (and not non-social, or “natural” risks), and social value orientation using economic games. Participants engaged in the Faith Game, which requires social trust, and a standard gambling game. Individuals denoted as “proself” were less likely to choose the risky option during the Faith Game as compared to individuals noted as “prosocial”; there was no difference between the groups during the gambling game. We discuss these results in terms of individual differences in betrayal aversion.

Critical political ecology and the seductions of posthumanism

"Posthumanist" theories have become increasingly popular among scholars in political ecology and other fields in the human sciences. The hope is that they will improve our grasp of relations between humans and various nonhumans and, in the process, offer the means to recompose the "social" and the "natural" domains. In this paper, I assess the merits of posthumanisms for critical scholarship. Looking specifically at the work of Bruno Latour (including his latest book, An inquiry into modes of existence) and Donna Haraway, I argue that posthumanist thinking offers not only analytical but normative advantages over conventional and even Marxian approaches. But these newer frameworks contain their own ethico-political limitations and, to the extent that they are useful for addressing conditions of injustice, they continue to depend upon conceptual resources from their precursors. For this reason, a critical political ecology would best be served by preserving a tension between humanist and posthumanist methods.Keywords: posthumanism, critical theory, political ecology, human-nonhuman relations, Bruno Latour, Donna Haraway

Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension parabolic point

In this paper we provide a complete modulus of analytic classification for germs of generic analytic families of diffeomorphisms which unfold a parabolic fixed point of codimension$k$. We start by showing that a generic family can be ‘prepared’, i.e. brought to a prenormal form${f}_{\epsilon } (z)$in which the multi-parameter$\epsilon $is almost canonical (up to an action of$ \mathbb{Z} / k \mathbb{Z} $). As in the codimension one case treated in P. Mardešić, R. Roussarie and C. Rousseau [Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms.Mosc. Math. J. 4(2004), 455–498], we show that the Ecalle–Voronin modulus can be unfolded to give a complete modulus for such germs. For this purpose, we define unfolded sectors in$z$-space that constitute natural domains on which the map${f}_{\epsilon } $can be brought to normal form in an almost unique way. The comparison of these normalizing changes of coordinates on the different sectors forms the analytic part of the modulus. This construction is performed on sectors in the multi-parameter space$\epsilon $such that the closure of their union provides a neighborhood of the origin in parameter space.