Solving the Hubble tension at intermediate redshifts with dynamical dark energy

The current expansion rate of the Universe, the Hubble constant $H_0$, is an important cosmological quantity. However, two different ways to measure its value do not agree -- building a low-redshift distance ladder leads to a higher value of $H_0$ than inferring it from high-redshift observations in a $\Lambda$CDM cosmology. Most approaches to solve this tension either act at very low redshift by modifying the local distance ladder, or at high redshift by introducing new physics that changes the normalization of the inverse distance ladder. Here we discuss a way to address the Hubble tension at intermediate redshifts instead. By keeping the low- and high-redshift normalizations unchanged, we find a violation of the distance duality in the redshift range where luminosity and angular diameter distances overlap. We 'solve' this problem by introducing a redshift-dependent systematic effect that brings the luminosity distance into agreement with the angular diameter distance. The resulting expansion history is no longer compatible with $\Lambda$CDM, but this can be fixed with a dynamical dark energy component. In this way, we are able to solve the Hubble tension at intermediate redshifts.Comment: 7 pages, 4 figure

Lattice Attacks on NTRU and LWE: A History of Refinements

Since its invention in 1982, the LLL lattice reduction algorithm (Lenstra, Lenstra, Lovasz 1982) has found countless applications. In cryptanalysis, the two most prominent applications of LLL and its generalisations --e.g. Slide, BKZ and SD-BKZ-- are factoring RSA keys with extra information on the secret key via Coppersmith\u27s method and the cryptanalysis of lattice-based schemes. After almost 40 years of cryptanalytic applications, predicting and optimising lattice reduction algorithms remains an active area of research. While we do have theorems bounding the worst-case performance of these algorithms, those bounds are asymptotic and not necessarily tight when applied to practical or even cryptographic instances. Reasoning about the behaviour of those algorithms relies on heuristics and approximations, some of which are known to fail for relevant corner cases. Decades after Lenstra, Lenstra, and Lovász gave birth to this fascinating and lively research area, this state of affairs became a more pressing issue recently. Motivated by post-quantum security, standardisation bodies, governments and industry started to move towards deploying lattice-based cryptographic algorithms. This spurred the refinement of those heuristics and approximations, leading to a better understanding of the behaviour of these algorithms over the last few years. Lattice reduction algorithms, such as LLL and BKZ, proceed with repeated local improvements to the lattice basis, and each such local improvement means solving the short(est) vector problem in a lattice of a smaller dimension. Therefore, two questions arise: how costly is it to find those local improvements and what is the global behaviour as those improvements are applied. While those two questions may not be perfectly independent, we will, in this survey, focus on the second one, namely, the global behaviour of such algorithms, given oracle access for finding local improvements. Our focus on the global behaviour is motivated by our intent to draw more of the community\u27s attention to this aspect. We will take a particular interest in the behaviour of such algorithms on a specific class of lattices, underlying the most popular lattice problems to build cryptographic primitives, namely the LWE problem and the NTRU problem. We will emphasise on the approximations that have been made, their progressive refinements and highlight open problems to be addressed

Radiomics strategies for risk assessment of tumour failure in head-and-neck cancer

Quantitative extraction of high-dimensional mineable data from medical images is a process known as radiomics. Radiomics is foreseen as an essential prognostic tool for cancer risk assessment and the quantification of intratumoural heterogeneity. In this work, 1615 radiomic features (quantifying tumour image intensity, shape, texture) extracted from pre-treatment FDG-PET and CT images of 300 patients from four different cohorts were analyzed for the risk assessment of locoregional recurrences (LR) and distant metastases (DM) in head-and-neck cancer. Prediction models combining radiomic and clinical variables were constructed via random forests and imbalance-adjustment strategies using two of the four cohorts. Independent validation of the prediction and prognostic performance of the models was carried out on the other two cohorts (LR: AUC = 0.69 and CI = 0.67; DM: AUC = 0.86 and CI = 0.88). Furthermore, the results obtained via Kaplan-Meier analysis demonstrated the potential of radiomics for assessing the risk of specific tumour outcomes using multiple stratification groups. This could have important clinical impact, notably by allowing for a better personalization of chemo-radiation treatments for head-and-neck cancer patients from different risk groups.Comment: (1) Paper: 33 pages, 4 figures, 1 table; (2) SUPP info: 41 pages, 7 figures, 8 table

Ly αα as a tracer of cosmic reionization in the SPHINX radiation-hydrodynamics cosmological simulation

The Ly$\alpha$ emission line is one of the most promising probes of cosmic reionisation but isolating the signature of a change in the ionisation state of the IGM is challenging because of intrinsic evolution and internal radiation transfer effects. We present the first study of the evolution of Ly$\alpha$ emitters (LAE) during the epoch of reionisation based on a full radiation-hydrodynamics cosmological simulation that is able to capture both the large-scale process of reionisation and the small-scale properties of galaxies. We predict the Ly$\alpha$ emission of galaxies in the $10^3$ cMpc$^3$ SPHINX simulation at $6\leq z\leq9$ by computing the full Ly$\alpha$ radiation transfer from ISM to IGM scales. SPHINX is able to reproduce many observational constraints such as the UV/Ly$\alpha$ luminosity functions and stellar mass functions at z $\geq$ 6 for the dynamical range probed by our simulation ($M_{\rm 1500}\gtrsim-18$, $L_{\rm Ly\alpha}\lesssim10^{42}$ erg/s, $M_{\star}\lesssim10^9$ M$_{\odot}$). As intrinsic Ly$\alpha$ emission and internal Ly$\alpha$ escape fractions barely evolve from $z=6$ to 9, the observed suppression of Ly$\alpha$ luminosities with increasing redshift is fully attributed to IGM absorption. For most observable galaxies ($M_{\rm 1500}\lesssim-16$), the Ly$\alpha$ line profiles are slightly shifted to the red due to internal radiative transfer effects which mitigates the effect of IGM absorption. Overall, the enhanced Ly$\alpha$ suppression during reionisation traces the IGM neutral fraction $x_{\rm HI}$ well but the predicted amplitude of this reduction is a strong function of the Ly$\alpha$ peak shift, which is set at ISM/CGM scales. We find that a large number of LAEs could be detectable in very deep surveys during reionisation when $x_{\rm HI}$ is still $\approx 50\%$

Constraining dust properties in circumstellar envelopes of C-stars in the Small Magellanic Cloud: optical constants and grain size of carbon dust

We present a new approach aimed at constraining the typical size and optical properties of carbon dust grains in circumstellar envelopes (CSEs) of carbon-rich stars (C-stars) in the Small Magellanic Cloud (SMC). To achieve this goal, we apply our recent dust growth description, coupled with a radiative transfer code to the CSEs of C-stars evolving along the thermally pulsing asymptotic giant branch, for which we compute spectra and colours. Then, we compare our modelled colours in the near- and mid-infrared (NIR and MIR) bands with the observed ones, testing different assumptions in our dust scheme and employing several data sets of optical constants for carbon dust available in the literature. Different assumptions adopted in our dust scheme change the typical size of the carbon grains produced. We constrain carbon dust properties by selecting the combination of grain size and optical constants which best reproduce several colours in the NIR and MIR at the same time. The different choices of optical properties and grain size lead to differences in the NIR and MIR colours greater than 2 mag in some cases. We conclude that the complete set of observed NIR and MIR colours are best reproduced by small grains, with sizes between ~0.035 and ~0.12 μm, rather than by large grains between ~0.2 and 0.7 μm. The inability of large grains to reproduce NIR and MIR colours seems independent of the adopted optical data set. We also find a possible trend of the grain size with mass-loss and/or carbon excess in the CSEs of these stars. © 2016 The Authors

Lateral thermokarst patterns in permafrost peat plateaus in northern Norway

Subarctic peatlands underlain by permafrost contain significant amounts of organic carbon. Our ability to quantify the evolution of such permafrost landscapes in numerical models is critical for providing robust predictions of the environmental and climatic changes to come. Yet, the accuracy of large-scale predictions has so far been hampered by small-scale physical processes that create a high spatial variability of thermal surface conditions, affecting the ground thermal regime and thus permafrost degradation patterns. In this regard, a better understanding of the small-scale interplay between microtopography and lateral fluxes of heat, water and snow can be achieved by field monitoring and process-based numerical modeling. Here, we quantify the topographic changes of the Šuoššjávri peat plateau (northern Norway) over a three-year period using drone-based repeat high-resolution photogrammetry. Our results show thermokarst degradation is concentrated on the edges of the plateau, representing 77 % of observed subsidence, while most of the inner plateau surface exhibits no detectable subsidence. Based on detailed investigation of eight zones of the plateau edge, we show that this edge degradation corresponds to an annual volume change of 0.13±0.07 m3 yr−1 per meter of retreating edge (orthogonal to the retreat direction). Using the CryoGrid3 land surface model, we show that these degradation patterns can be reproduced in a modeling framework that implements lateral redistribution of snow, subsurface water and heat, as well as ground subsidence due to melting of excess ice. By performing a sensitivity test for snow depths on the plateau under steady-state climate forcing, we obtain a threshold behavior for the start of edge degradation. Small snow depth variations (from 0 to 30 cm) result in highly different degradation behavior, from stability to fast degradation. For plateau snow depths in the range of field measurements, the simulated annual volume changes are broadly in agreement with the results of the drone survey. As snow depths are clearly correlated with ground surface temperatures, our results indicate that the approach can potentially be used to simulate climate-driven dynamics of edge degradation observed at our study site and other peat plateaus worldwide. Thus, the model approach represents a first step towards simulating climate-driven landscape development through thermokarst in permafrost peatlands

Beyond the electric-dipole approximation in simulations of X-ray absorption spectroscopy: Lessons from relativistic theory

We present three schemes to go beyond the electric-dipole approximation in X-ray absorption spectroscopy calculations within a four-component relativistic framework. The first is based on the full semi-classical light-matter interaction operator, and the two others on a truncated interaction within Coulomb gauge (velocity representation) and multipolar gauge (length representation). We generalize the derivation of multipolar gauge to an arbitrary expansion point and show that the potentials corresponding to different expansion point are related by a gauge transformation, provided the expansion is not truncated. This suggests that the observed gauge-origin dependence in multipolar gauge is more than just a finite-basis set effect. The simplicity of the relativistic formalism enables arbitrary-order implementations of the truncated interactions, with and without rotational averaging, allowing us to test their convergence behavior numerically by comparison to the full formulation. We confirm the observation that the oscillator strength of the electric-dipole allowed ligand K-edge transition of TiCl$_4$, when calculated to second order in the wave vector, become negative, but also show that inclusion of higher-order contributions allows convergence to the result obtained using the full light-matter interaction. However, at higher energies, the slow convergence of such expansions becomes dramatic and renders such approaches at best impractical. When going beyond the electric-dipole approximation, we therefore recommend the use of the full light-matter interaction.Comment: The following article has been submitted to The Journal of Chemical Physics. After it is published, it will be found at this https://aip.scitation.org/toc/jcp/current New version with substantial revision, including further insight into origin-dependence in multipolar gaug