On the signature of z∼0.6z\sim 0.6 superclusters and voids in the Integrated Sachs-Wolfe effect

Through a large ensemble of Gaussian realisations and a suite of large-volume N-body simulations, we show that in a standard LCDM scenario, supervoids and superclusters in the redshift range $z\in[0.4,0.7]$ should leave a {\em small} signature on the ISW effect of the order $\sim 2 \mu$K. We perform aperture photometry on WMAP data, centred on such superstructures identified from SDSS LRGs, and find amplitudes at the level of 8 -- 11$\mu$K -- thus confirming the earlier work of Granett et al 2008. If we focus on apertures of the size \sim3.6\degr, then our realisations indicate that LCDM is discrepant at the level of $\sim4 \sigma$. If we combine all aperture scales considered, ranging from 1\degr--20\degr, then the discrepancy becomes $\sim2\sigma$, and it further lowers to $\sim 0.6 \sigma$ if only 30 superstructures are considered in the analysis (being compatible with no ISW signatures at $1.3\sigma$ in this case). Full-sky ISW maps generated from our N-body simulations show that this discrepancy cannot be alleviated by appealing to Rees-Sciama mechanisms, since their impact on the scales probed by our filters is negligible. We perform a series of tests on the WMAP data for systematics. We check for foreground contaminants and show that the signal does not display the correct dependence on the aperture size expected for a residual foreground tracing the density field. The signal also proves robust against rotation tests of the CMB maps, and seems to be spatially associated to the angular positions of the supervoids and superclusters. We explore whether the signal can be explained by the presence of primordial non-Gaussianities of the local type. We show that for models with \FNL=\pm100, whilst there is a change in the pattern of temperature anisotropies, all amplitude shifts are well below $<1\mu$K.Comment: 14 pages, 9 figures, matches accepted version in MNRA

Peru’s Experience in Sovereign Debt Management and Litigation: Some Lessons for the Legal Approach to Sovereign Indebtedness

The paper sheds light upon a specific issue: carbon leakage. Leakage can be understood as an unanticipated net carbon loss or gain, attributable to a climate policy, or reduction activities. Benign leakage effects are harmless. Unsettling are the ones that pose a threat to project’s environmental integrity. The Clean Development Mechanism (CDM) is no exception to such risk. In order to investigate leakage and the corresponding leakage calculation methods addressed in the CDM projects, a qualitative content analysis is conducted on 203 methodologies. Methodology documents serve as ideal textual data for examining CDM related leakage because the development of any new project must be based on methodologies. In relation to the research question, the content analysis synthesizes 11 types of leakage sources. Excluding the case where no leakage is considered, 10 type of leakage sources are then broadly classified as Activity Shift, Market Effects and Life Cycle Leakage. Their corresponding leakage calculation methods are described and reviewed in terms of their geographic reach, and leakage characteristics. A percentage pattern is presented in relation to each sector. The findings are that the vast majority of the CDM leakage calculation methods address primary leakage specific to each individual project at a localized scale, among which, methods addressing Life Cycle Leakage are in the predominant majority. Market Effects as secondary sources are acknowledged as a potential threat to the overall benefit, but the CDM methodologies offer no quantitative method

Implementation of a Fourier Matched Filter in CMB Analyses. Application to ISW Studies

Aims: Implement a matched filter (MF) cross-correlation algorithm in multipole space and compare it to the standard Angular Cross Power Spectrum (ACPS) method. Apply both methods on a Integrated Sachs Wolfe (ISW) - Large Scale Structure (LSS) cross correlation scenario and study how sky masks influence the multipole range where signal arises and its comparison to theoretical predictions. Methods: The MF requires the inversion of a multipole covariance matrix that if $f_{sky} \lt 1$ is generally non-diagonal and singular. We use a SVD approach that focuses on those modes carrying most of the information. We compare the MF to the ACPS in ISW-LSS Monte Carlo simulations, paying attention on the effect that a limited sky coverage has on the cross-correlation results. Results: Within the linear data model for which the MF is defined, the MF performs comparatively better than the ACPS for smaller values of $f_{sky}$ and scale dependent (non-Poissonian) noise fields. In the context of ISW studies both methods are comparable, although the MF performs slightly more sensitively under more restrictive masks. A preliminary study predicts that most of the ISW--LSS cross correlation S/N ratio should be found in the very large scales (50% of the S/N at $l\lt 10$, 90% at $l\lt 40-50$), and this is confirmed by Monte Carlo simulations. The statistical significance of our cross-correlation statistics reaches its maximum when considering $l\in [2,l_{max}]$, with $l_{max} \in[5,40]$ for all values of $f_{sky}$ observed, despite of the smoothing and power aliasing that aggressive masks introduce in Fourier space. This $l$-confinement of the ISW-LSS cross correlation should enable a safe distinction from other secondary effects arising at smaller angular scales.Comment: 9 pages, 5 figures, submitted to A&