Renormalization in complex dynamics

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Núria Fagella Rabionet[en] Renormalization theory is a powerful technique both in mathematics and physics. In particular, it is essential in the study of the MLC conjecture, which wonders whether or not the Mandelbrot set is locally connected. The main purpose of this project is to comprehend the Straightening Theorem with the utmost rigour, that is an essential result behind the aforementioned technique. In order to approach our aim, we proceed to concentrate on quasiconformal geometry and give some basic background concerning dynamical systems. Besides, we explore some applications of the cornerstone of this thesis within the framework of complex dynamics. Lastly, we outline the notion of renormalization when dealing with percolation theory in physics

Martino poeta. Algunas poesias de Eutimio Martino, con comentario

20 poems by E. Martino are collected and about them, globally, a free comment is madeSe recogen 20 poemas de E. Martino y sobre ellos, de manera global, se hace un comentario libr

Gene expression changes in the injured spinal cord following transplantation of mesenchymal stem cells or olfactory ensheathing cells

Transplantation of bone marrow derived mesenchymal stromal cells (MSC) or olfactory ensheathing cells (OEC) have demonstrated beneficial effects after spinal cord injury (SCI), providing tissue protection and improving the functional recovery. However, the changes induced by these cells after their transplantation into the injured spinal cord remain largely unknown. We analyzed the changes in the spinal cord transcriptome after a contusion injury and MSC or OEC transplantation. The cells were injected immediately or 7 days after the injury. The mRNA of the spinal cord injured segment was extracted and analyzed by microarray at 2 and 7 days after cell grafting. The gene profiles were analyzed by clustering and functional enrichment analysis based on the Gene Ontology database. We found that both MSC and OEC transplanted acutely after injury induce an early up-regulation of genes related to tissue protection and regeneration. In contrast, cells transplanted at 7 days after injury down-regulate genes related to tissue regeneration. The most important change after MSC or OEC transplant was a marked increase in expression of genes associated with foreign body response and adaptive immune response. These data suggest a regulatory effect of MSC and OEC transplantation after SCI regarding tissue repair processes, but a fast rejection response to the grafted cells. Our results provide an initial step to determine the mechanisms of action and to optimize cell therapy for SCI

Nowcasting Mexico’s short-term GDP growth in real-time: a factor model versus professional forecasters

We introduce a novel real-time database for the Mexican economy and propose a small-scale mixed-frequency dynamic factor model for nowcasting Mexico’s short-term GDP growth in real-time. We compare our factor-based backcasts, nowcasts, and forecasts with those of the consensus of the survey of professional forecasters during the period from the second quarter of 2008 through the second quarter of 2014. Our results suggest that our factor-based backcasts, nowcasts, and forecasts outperform those of the consensus of professional forecasters in real-time comparisons despite some structural instability during the 2008–09 crisis and its aftermath in 2010

Toward a coarse-grained model for membranes at interfaces

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2019, Tutor: Giancarlo FranzeseThe study of water confined at stacked phospholipid bilayers is important to under- stand basic functions of biological membranes. Within this framework and by means of all-atom molecular dynamics simulations, we analyze the water-membrane and water-water interactions as function of the local distance of water molecules from the membrane. We find that both can be represented as coarse-grained potentials, useful in large-scale simulation