Consejo Nacional de Ciencia y Tecnología (Spanish for National Council of Science and Technology; abbreviated CONACYT) is Mexico's entity in charge of the promotion of scientific and technological activities, setting government policies for these matters, and granting scholarships for postgraduate studies. It is the equivalent of the US's National Science Foundation and Argentina's CONICET. It is officially designated as a decentralized public agency of Mexico's federal government. CONACYT was founded in 1970.
We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the p-Laplacian in RN whose nonlinear terms are purely critical. We also show that the purely critical equation for the p-Laplacian in RN has infinitely many nodal solutions. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
We study variants of classical Laver forcing defined from co-ideals and analyze their combinatorial properties in terms of the Katětov order. In particular, we give a Katětov-theoretic characterization of when Laver forcing associated with a co-ideal adds Cohen reals, and we show that such forcings never add random reals. Improving a result of Błaszczyk and Shelah we prove that the addition of Cohen reals and the Laver property are not equivalent, even in the case of ultrafilters. As an application, we investigate the problem of adding half Cohen reals without adding Cohen reals via tree-like forcings arising from co-ideals. We obtain several partial results and structural obstructions. Finally, we resolve several open questions from the literature concerning the one-to-one or constant property and cardinal invariants associated with ideals.
A bibliometric analysis was performed to evaluate the contribution of different disciplines to the current scientific knowledge of Mexican sandy beaches as a foundation for their management as social-ecological systems. The literature was retrieved from three bibliographic repositories: Scopus, Web of Science, and Redalyc. Scientific production and links between researchers and institutions, as well as major research themes, were analyzed using science mapping. Additionally, the spatial-temporal scales of the studies were explored, and a heat map was constructed to detect the focal areas where sandy beach research has been conducted in Mexico. The scientific production showed a trend of increase but is still uneven. Authors are more prone to publish in internationally outstanding journals; however, three Mexican journals appear in the top publication sources. Most research effort has concentrated on the field of geomorphology with limited multidisciplinary studies. Moreover, studies encompassing large spatial and temporal scales are rare. These results allowed us to depict the main research gaps in the scientific knowledge of Mexican beaches, as well as the emerging challenges for generating scientifically sound information to support their management as social-ecological systems. Beach research in Mexico should be addressed as a fully unified national effort. There is a need for long-term beach monitoring systems, and to promote investigations encompassing aspects like health, safety, and governance of beaches. Notwithstanding this, at least three large coastal sections (Mayan Riviera, north Yucatán Peninsula, and north Pacific California Peninsula) have the potential to develop pilot initiatives of integrated beach management.
We present the measurements and cosmological implications of the galaxy two-point clustering using over 4.7 million unique galaxy and quasar redshifts in the range 0.1 < z < 2.1 divided into six redshift bins over a similar to 7, 500 square degree footprint, from the first year of observations with the Dark Energy Spectroscopic Instrument (DESI Data Release 1). By fitting the full power spectrum, we extend previous DESI DR1 baryon acoustic oscillation (BAO) measurements to include redshift-space distortions and signals from the matter-radiation equality scale. For the first time, this Full-Shape analysis is blinded at the catalogue-level to avoid confirmation bias and the systematic errors are accounted for at the two-point clustering level, which automatically propagates them into any cosmological parameter. When analysing the data in terms of compressed model-agnostic variables, we obtain a combined precision of 4.7% on the amplitude of the redshift space distortion (RSD) signal reaching a similar precision with just one year of DESI data than with twenty years of observation from the previous generation survey. We also analyse the data to directly constrain the cosmological parameters within the Lambda CDM model using perturbation theory and combine this information with the reconstructed DESI DR1 galaxy BAO. Using a Big Bang Nucleosynthesis Gaussian prior on the baryon density parameter, omega(b), and a weak Gaussian prior on the spectral index, n(s), we constrain the matter density is Omega(m) = 0.296 +/- 0.010 and the Hubble constant H-0 = (68.63 +/- 0.79)[km s(-1)Mpc(-1)]. Additionally, we measure the amplitude of clustering sigma(8) = 0.841 +/- 0.034. The DESI DR1 galaxy clustering results are in agreement with the Lambda CDM model based on general relativity with parameters consistent with those from Planck. The cosmological interpretation of these results in combination with DESI DR1 Ly-alpha forest data and external datasets are presented in the companion paper [1].
