Singular integrals on Ahlfors-David regular subsets of the Heisenberg group

"Vegeu el resum a l'inici del document del fitxer adjunt."

Figures i mirades salvatges en el cinema de Werner Herzog

Aquest treball de recerca vol explorar com el concepte del salvatge europeu es plasmaen l'obra del cineasta alemany Werner Herzog. Aquesta plasmació es produeix tant anivell figuratiu i narratiu com a nivell estètic. Per una banda, en aquests films hi ha un treball del cos i de com aquest es sotmet a diverses regles socials i de representació, que el salvatge contestarà amb un rebuig de l'ordre establert, sovint concretat en la idea de fuga cap a la natura. Per altra banda, l'estètica dels films de Herzog respon al que denominem una mirada salvatge: la representació d'una societat teatral que s'enfonsa, per una banda, i l'ús de recursos formals per a reproduir una mirada primigènia sobre les imatges, per l'altra. En tots els casos, la dinàmica d'alliberament de les forces civilitzadores constitueix el fonament de la narració i l'estètica del cineasta alemany.

Exact lower bounds to the ground-state energy of spin systems: The two-dimensional S=1/2 antiferromagnetic Heisenberg model

We present a very simple but fairly unknown method to obtain exact lower bounds to the ground-state energy of any Hamiltonian that can be partitioned into a sum of sub-Hamiltonians. The technique is applied, in particular, to the two-dimensional spin-1/2 antiferromagnetic Heisenberg model. Reasonably good results are easily obtained and the extension of the method to other systems is straightforward.

Dimerization of polyacetylene treated as a spin-Peierls distortion of the Heisenberg Hamiltonian

Extracting a bond-length-dependent Heisenberg-like Hamiltonian from the potential-energy surfaces of the two lowest states of ethylene, it is possible to study the geometry of polyacetylene by minimization of the cohesive energy, using both variational-cluster and Rayleigh-Schrödinger perturbative expansions. The dimerization amplitude is satisfactorily reproduced. Optimizing the variational-cluster-expansion total energy with the equal-bond-length constraint, the barrier to reversal of alternation is obtained. The alternating-to-regular phase transition is treated from the Néel-state starting function and appears to be of second order.

Variational localized-site cluster expansions. X. Dimerization in linear Heisenberg chains

Ground-state instability to bond alternation in long linear chains is considered from the point of view of valence-bond (VB) theory. This instability is viewed as the consequence of a long-range order (LRO) which is expected if the ground state is reasonably described in terms of the Kekulé states (with nearest-neighbor singlet pairing). It is argued that the bond alternation and associated LRO predicted by this simple, VB picture is retained for certain linear Heisenberg models; many-body VB calculations on spin s=1 / 2 and s=1 chains are carried out in a test of this argument.

Absence of collective effects in Heisenberg systems with localized magnetic moments

Existence of collective effects in magnetic coupling in ionic solids is studied by mapping spin eigenstates of the Heisenberg and exact nonrelativistic Hamiltonians on cluster models representing KNiF3, K2NiF4, NiO, and La2CuO4. Ab initio techniques are used to estimate the Heisenberg constant J. For clusters with two magnetic centers, the values obtained are about the same for models having more magnetic centers. The absence of collective effects in J strongly suggests that magnetic interactions in this kind of ionic solids are genuinely local and entangle only the two magnetic centers involved.

Roger-Guy Werner (1901-1977)

Alors qu'il travaillait les lichens dans son laboratoire, chez lui à Nancy, le Professeur Werner s'écroula, victime d'une attaque cérébrale. Hospitalisé, il mourait quatre semaines après, le 28 mars 1977. Son travail, consacré surtout à la cryptogamie, et notamment à la recherche lichénologique, l'avait donc accompagné jusqu'à la fin de sa vie.

I want you! An experiment studying the selection effect when assigning distributive power.

We study whether selection affects motivation. In our experiment subjects first answer a personality questionnaire. They then play a 3-person game. One of the three players decides between an outside option assigning him a positive amount, but leaving the two others empty-handed and allowing one of the other two players to distribute a pie. Treatments differ in the procedure by which distributive power is assigned: to a randomly determined or to a knowingly selected partner. Before making her decision the selecting player could consult the personality questionnaire of the other two players. Results show that knowingly selected players keep less for themselves than randomly selected ones and reward the selecting player more generously.

Impairment of mossy fiber long-term potentiation and associative learning in pituitary adenylate cyclase activating polypeptide type I receptor-deficient Mice

The pituitary adenylate cyclase activating polypeptide (PACAP) type I receptor (PAC1) is a G-protein-coupled receptor binding the strongly conserved neuropeptide PACAP with 1000-fold higher affinity than the related peptide vasoactive intestinal peptide. PAC1-mediated signaling has been implicated in neuronal differentiation and synaptic plasticity. To gain further insight into the biological significance of PAC1-mediated signaling in vivo, we generated two different mutant mouse strains, harboring either a complete or a forebrain-specific inactivation of PAC1. Mutants from both strains show a deficit in contextual fear conditioning, a hippocampus-dependent associative learning paradigm. In sharp contrast, amygdala-dependent cued fear conditioning remains intact. Interestingly, no deficits in other hippocampus-dependent tasks modeling declarative learning such as the Morris water maze or the social transmission of food preference are observed. At the cellular level, the deficit in hippocampus-dependent associative learning is accompanied by an impairment of mossy fiber long-term potentiation (LTP). Because the hippocampal expression of PAC1 is restricted to mossy fiber terminals, we conclude that presynaptic PAC1-mediated signaling at the mossy fiber synapse is involved in both LTP and hippocampus-dependent associative learning.

La huella del futuro. El cine y el pensamiento y la imagen y el fantasma

Se tratará en este trabajo, primero, de caracterizar un tipo de imagen capaz deromper con los yugos con los que la contemporaneidad somete la imaginación a partir de la obra de cineastas particularmente sensibles a este problema, como Werner Herzog y Wim Wenders. Una vez hecho esto, analizaremos la fuente de dicha imagen para así poder invocarla, como si de verdaderas hechicerías o chamanismos se tratase, teniendo en cuenta las nuevas tecnologías y atendiendo a algunos de quienes han sabido extraer de ellas sus poderes más ocultos, sobre todo Jean-Luc Godard y David Lynch. Por último, será a través del cine de Claire Denis y de una cierta idea del cuerpo como ahondaremos en el acontecimiento de la nueva imagen capaz de sacar al sistema de sus goznes y relanzar al cine y al pensamiento hacia un futuro incierto; incierto como es todo auténtico futuro.