A NN-branching random walk with random selection

We consider an exactly solvable model of branching random walk with random selection, which describes the evolution of a population with $N$ individuals on the real line. At each time step, every individual reproduces independently, and its offspring are positioned around its current locations. Among all children, $N$ individuals are sampled at random without replacement to form the next generation, such that an individual at position $x$ is chosen with probability proportional to $\mathrm{e}^{\beta x}$. We compute the asymptotic speed and the genealogical behavior of the system

Finite-size corrections to the speed of a branching-selection process

We consider a particle system studied by E. Brunet and B. Derrida, which evolves according to a branching mechanism with selection of the fittest keeping the population size fixed and equal to $N$. The particles remain grouped and move like a travelling front driven by a random noise with a deterministic speed. Because of its mean-field structure, the model can be further analysed as $N \to \infty$. We focus on the case where the noise lies in the max-domain of attraction of the Weibull extreme value distribution and show that under mild conditions the correction to the speed has universal features depending on the tail probabilities

Dynamical Freezing in a Spin Glass System with Logarithmic Correlations

We consider a continuous time random walk on the two-dimensional discrete torus, whose motion is governed by the discrete Gaussian free field on the corresponding box acting as a potential. More precisely, at any vertex the walk waits an exponentially distributed time with mean given by the exponential of the field and then jumps to one of its neighbors, chosen uniformly at random. We prove that throughout the low-temperature regime and at in-equilibrium timescales, the process admits a scaling limit as a spatial K-process driven by a random trapping landscape, which is explicitly related to the limiting extremal process of the field. Alternatively, the limiting process is a supercritical Liouville Brownian motion with respect to the continuum Gaussian free field on the box. This demonstrates rigorously and for the first time, as far as we know, a dynamical freezing in a spin glass system with logarithmically correlated energy levels.Comment: Final version available at Electron. J. Proba

Emerging Technologies and Advanced Analyses for Non-Invasive Near-Surface Site Characterization

This dissertation introduces novel techniques for estimating the soil small-strain shear modulus (Gmax) and damping ratio (D), crucial for modeling soil behavior in various geotechnical engineering problems. For Gmax estimation, a machine learning approach is proposed, capable of generating two-dimensional (2D) images of the subsurface shear wave velocity, which is directly related to Gmax. The dissertation also presents a method for estimating frequency dependent attenuation coefficients from ambient vibrations collected using 2D arrays of seismic sensors deployed across the ground surface. These attenuation coefficients can then be used in an inversion process to estimate D. The developed techniques for Gmax and D estimation have undergone rigorous validation and testing through synthetic simulations and field experiments, demonstrating their effectiveness. Furthermore, the dissertation presents a comprehensive dataset collected using cutting-edge seismic sensing technologies, including distributed acoustic sensing, three-component seismometers, and a large mobile shaker truck. This dataset has been archived and made publicly available, aiding researchers worldwide in developing and testing new non-invasive imaging techniques. Finally, the dissertation concludes with a review and comparison of recent advancements in non-invasive subsurface imaging techniques and their application at the same site

Estudio palinológico de Ornithopus L. (leguminosae) en la Península Ibérica

Se estudia mediante microscopia óptica y el ectrónica el polen de los taxones ibéricos del género Ornithopus L.In this paper the pollen of the Iberian taxa of Orní t hopus L. i s st udied by light and scanning electron microscop

Transcriptomic Analysis of Gonadal Adispose Tissue in Male Mice Exposed Perinatally to 2,2\u27,4,4\u27-Tetrabromodiphenyl Ether (BDE-47)

For the majority of lipophilic compounds, adipose tissue is traditionally considered as a storage depot and only rarely as a target organ. Meanwhile, abnormalities in adipose tissue physiology induced by chemical exposure may contribute to the current epidemic of obesity and metabolic diseases. Polybrominated diphenyl ethers (PBDEs) are a group of lipophilic flame retardants found in the majority of human samples in North America. Their ability to alter the physiology of adipose tissue is unknown. We exposed pregnant mice to 0.2 mg/kg body weight/day of BDE-47 perinatally. Transcriptomic changes in gonadal adipose tissue were analyzed in male offspring using the RNA-seq approach with subsequent bioinformatic analysis. The expression of genes of coagulation and complement cascade, de novo lipogenesis, and xenobiotic metabolism was altered in response to BDE-47 exposure. The affected molecular network included the following hubs: PPARα, HNF1A, and HNF4. These findings suggest that adipose tissue should be considered a target tissue for BDE-47, in addition to its role as a storage depot. This study also builds a background for a targeted search of sensitive phenotypic endpoints of BDE-47 exposure, including lipid profile parameters and coagulation factors in circulation. Additional studies are needed to investigate the role of PBDEs as an obesogen

Innovative Design and Evaluation of a Transmission Lifter

This study focuses on the design, fabrication, and evaluation of the Transmission Lifter, a specialized device tailored for the convenient, stable, and durable servicing of vehicle transmission assemblies. The research aims to address the prevalent challenges faced by automotive technicians and mechanics during transmission servicing, offering an innovative solution that meets the high-performance requirements of the automotive industry.The study meticulously follows industry standards and leverages expert feedback to ensure the Transmission Lifter's quality, performance, and safety. It goes through comprehensive testing, meticulous analysis, and critical evaluation to gauge the device's effectiveness. The results of the study lead to several key conclusions: The Transmission Lifter successfully meets industry standards and the expectations of automotive experts, ensuring that it aligns with the highest quality requirements. The device exhibits high performance efficiency as affirmed by expert evaluations, highlighting its superior capabilities. It boasts an impressive load capacity, accommodating medium to heavy-duty transmissions with ease. The device is adaptable to the diverse configurations of automobile transmissions. It maintains stability even during extended use and can handle a substantial load. The Transmission Lifter performs exceptionally well, earning an overall "Excellent" rating based on expert evaluations. This study's findings inform a set of valuable recommendations, including patent protection, material enhancements for portability, improved finishing and adherence to industry standards, instructional manuals for users, and a call for continued research in the field. The Transmission Lifter presents a significant advancement in the field of automotive technology, contributing to the safety, efficiency, and quality of transmission servicing. Its innovation serves as a testament to the commitment of the researcher and his desire to support fellow technicians and automotive enthusiasts. By addressing the critical needs of the automotive industry, the Transmission Lifter embodies innovation, safety, and a commitment to excellence, setting a benchmark for future developments in the field.As