347 research outputs found

    Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph

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    We establish links between countable algebraically closed graphs and the endomorphisms of the countable universal graph RR. As a consequence we show that, for any countable graph Γ\Gamma, there are uncountably many maximal subgroups of the endomorphism monoid of RR isomorphic to the automorphism group of Γ\Gamma. Further structural information about End RR is established including that Aut Γ\Gamma arises in uncountably many ways as a Sch\"{u}tzenberger group. Similar results are proved for the countable universal directed graph and the countable universal bipartite graph.Comment: Minor revision following referee's comments. 27 pages, 3 figure

    Atmospheric rivers contribution to the snow accumulation over the southern Andes (26.5° S–37.5° S)

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    This paper quantifies the climatological contribution of atmospheric rivers (ARs) to annual snow accumulation in the Andes Cordillera between 26.5° S and 36.5° S. An AR identification algorithm, and a high-resolution (0.01°) snow reanalysis dataset, both especially developed for this mountainous region, are used for this quantification over the 1984–2014 period. Results show that AR snowfall events explain approximately 50% of the annual snow accumulation over the study area, and are 2.5 times more intense than non-AR snowfall events. Due to orographic precipitation enhancement on the western slopes and a prominent rain shadow effect on the eastern slopes, annual snow accumulation and AR storms contribution to this accumulation are, on average, 7 and 12 times larger on western than on eastern slopes of the mountain range, respectively. Areas with lower peak elevations see more spillover snowfall over the eastern slopes of the mountain range, especially south of 35° S. Analysis of teleconnections with El Niño Southern Oscillation shows a reduction in the AR frequency across the study area during La Niña episodes and, consequently, a lower contribution to snow accumulation. Conversely, weak and moderate El Niño episodes show an increase in AR frequency, and consequently more snowfall.Fil: Saavedra, Felipe. Universidad de Chile; ChileFil: CortĂ©s, Gonzalo. Centro TecnolĂłgico del Agua; ChileFil: Viale, Maximiliano. Consejo Nacional de Investigaciones CientĂ­ficas y TĂ©cnicas. Centro CientĂ­fico TecnolĂłgico Conicet - Mendoza. Instituto Argentino de NivologĂ­a, GlaciologĂ­a y Ciencias Ambientales. Provincia de Mendoza. Instituto Argentino de NivologĂ­a, GlaciologĂ­a y Ciencias Ambientales. Universidad Nacional de Cuyo. Instituto Argentino de NivologĂ­a, GlaciologĂ­a y Ciencias Ambientales; ArgentinaFil: Margulis, Steven. University of California at Los Angeles; Estados UnidosFil: McPhee, James. Universidad de Chile; Chil

    Assessment of the current climate and expected climate changes in the Metropolitan Region of Santiago de Chile

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    This report describes the methodology and results from the analysis of climate scenarios and their impact on hydrometeorological variables in the Metropolitan Region of Santiago de Chile (MRS). Using a downscaling methodology for future scenarios A2 and B1, according to IPCC, temperature, precipitation and secondary variable trends were estimated for the time-window 2045-2065. The main results predict that Santiago will be a dryer and hotter city in the near future, with a high number of days with extreme temperatures. Due to lower precipitation rates, decreasing magnitudes in the streamflow of the two main rivers, Maipo and Mapocho, are expected. The presented data provide a basis for the ClimateAdaptationSantiago (CAS) project as the aim of that project is to elaborate, evaluate and prioritize adaptation measures to the climate change in the MRS

    Multiobjective Optimization for Sustainable Groundwater Management in Semiarid Regions

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    Automorphism groups of linearly ordered structures and endomorphisms of the ordered set ( Q ,≀) of rational numbers

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    We investigate the structure of the monoid of endomorphisms of the ordered set ( Q ,≀) of rational numbers. We show that for any countable linearly ordered set Ω, there are uncountably many maximal subgroups of End( Q ,≀) isomorphic to the automorphism group of Ω. We characterize those subsets X of Q that arise as a retract in ( Q ,≀) in terms of topological information concerning X. Finally, we establish that a countable group arises as the automorphism group of a countable linearly ordered set, and hence as a maximal subgroup of End( Q ,≀), if and only if it is free abelian of finite rank.PreprintPostprintPeer reviewe

    Interannual variability in glacier contribution to runoff from a high-elevation Andean catchment: understanding the role of debris cover in glacier hydrology

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    We present a field‐data rich modelling analysis to reconstruct the climatic forcing, glacier response, and runoff generation from a high‐elevation catchment in central Chile over the period 2000–2015 to provide insights into the differing contributions of debris‐covered and debris‐free glaciers under current and future changing climatic conditions. Model simulations with the physically based glacio‐hydrological model TOPKAPI‐ETH reveal a period of neutral or slightly positive mass balance between 2000 and 2010, followed by a transition to increasingly large annual mass losses, associated with a recent mega drought. Mass losses commence earlier, and are more severe, for a heavily debris‐covered glacier, most likely due to its strong dependence on snow avalanche accumulation, which has declined in recent years. Catchment runoff shows a marked decreasing trend over the study period, but with high interannual variability directly linked to winter snow accumulation, and high contribution from ice melt in dry periods and drought conditions. The study demonstrates the importance of incorporating local‐scale processes such as snow avalanche accumulation and spatially variable debris thickness, in understanding the responses of different glacier types to climate change. We highlight the increased dependency of runoff from high Andean catchments on the diminishing resource of glacier ice during dry years
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