Act or Revolution? Yes, Please!

In the context of the current crisis of global capitalism, it is crucial to determine what is the state of Marxism. Certainly, it is true that in recent decades Marxism has suffered a notable series of attacks, but in no way may we conclude that for this reason Marxism no longer constitutes a legitimate political and intellectual option. As Perry Anderson fittingly pointed out, “to be defeated and to be bowed are not the same” (Anderson 2005: XVII). In permanent crisis and despite all adversities—Marxism persists. Thus, adopting the standpoint of an “intransigent realism” (Anderson 2000: 10) which makes possible “refusing any accommodation with the ruling system, and rejecting every piety and euphemism that would understate its power” (idem), it is valid to question if Marxism has theoretically and practically recovered from a crisis that was supposedly fatal. In fact, has Marxism been able to respond to the challenges posed by Post-Structuralism and 2 Postmodernist discourse? Has it repelled the attacks that were inherent in the postulates of the so-called Post-Marxism? As a part of a larger effort to answer these questions, this paper deals with the work of Slavoj Žižek. What distinguishes the Slovenian philosopher from other contemporary thinkers that try to normatively undertake a defense of Marxism is that he is not precisely a Marxist. Essentially, Žižek is part of the Lacanian left (Stravrakakis 2007). But at the same time he is a very distinctive Hegelian that belongs to the field of Materialist Theory of Subjectivity (Johnston 2008). Nevertheless, in recent years Žižek has showed increasing fidelity to the Idea of communism and the radical emancipatory politics. Within this context, he has strayed from his previous interests in the development of ideology critique and has carried out a noteworthy number of original contributions to both the vicissitudes of Marxist theory and the political practice that the times in which we live require.Fil: Roggerone, Santiago Martín. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions

A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of exponential growth. On the other hand, in the infinite dimensional setting, the Godefroy-Shapiro theorem has been extended to several spaces of entire functions defined on Banach spaces. We prove that on all these spaces, non-trivial convolution operators are strongly mixing with respect to a gaussian probability measure of full support. For the proof we combine the results previously mentioned and we use techniques recently developed by Bayart and Matheron. We also obtain the existence of frequently hypercyclic entire functions of exponential growth.Comment: 16 page

On a general implementation of hh- and pp-adaptive curl-conforming finite elements

Edge (or N\'ed\'elec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, specially for high order methods, is not trivial, since it involves many technicalities that are not properly described in the literature. To fill this gap, we provide a comprehensive description of a general implementation of edge elements of first kind within the scientific software project FEMPAR. We cover into detail how to implement arbitrary order (i.e., $p$-adaptive) elements on hexahedral and tetrahedral meshes. First, we set the three classical ingredients of the finite element definition by Ciarlet, both in the reference and the physical space: cell topologies, polynomial spaces and moments. With these ingredients, shape functions are automatically implemented by defining a judiciously chosen polynomial pre-basis that spans the local finite element space combined with a change of basis to automatically obtain a canonical basis with respect to the moments at hand. Next, we discuss global finite element spaces putting emphasis on the construction of global shape functions through oriented meshes, appropriate geometrical mappings, and equivalence classes of moments, in order to preserve the inter-element continuity of tangential components of the magnetic field. Finally, we extend the proposed methodology to generate global curl-conforming spaces on non-conforming hierarchically refined (i.e., $h$-adaptive) meshes with arbitrary order finite elements. Numerical results include experimental convergence rates to test the proposed implementation