AGN Feedback models: Correlations with star formation and observational implications of time evolution

We examine the correlation between the star formation rate (SFR) and black hole accretion rate (BHAR) across a suite of different AGN feedback models, using the time evolution of a merger simulation. By considering three different stages of evolution, and a distinction between the nuclear and outer regions of star formation, we consider 63 different cases. Despite many of the feedback models fitting the M-\sigma\ relationship well, there are often distinct differences in the SFR-BHAR correlations, with close to linear trends only being present after the merger. Some of the models also show evolution in the SFR-BHAR parameter space that is at times directly across the long-term averaged SFR-BHAR correlation. This suggests that the observational SFR-BHAR correlation found for ensembles of galaxies is an approximate statistical trend, as suggested by Hickox et al. Decomposing the SFR into nuclear and outer components also highlights notable differences between models and there is only modest agreement with observational studies examining this in Seyfert galaxies. For the fraction of the black hole mass growth from the merger event relative to the final black hole mass, we find as much as a factor of three variation among models. This also translates into a similar variation in the post-starburst black hole mass growth. Overall, we find that while qualitative features are often similar amongst models, precise quantitative analysis shows there can be quite distinct differences.Comment: Accepted to MNRAS. Comments welcom

Systematic review of SGLT2 receptor inhibitors in dual or triple therapy in type 2 diabetes

Background Despite the number of medications for type 2 diabetes, many people with the condition do not achieve good glycaemic control. Some existing glucose-lowering agents have adverse effects such as weight gain or hypoglycaemia. Type 2 diabetes tends to be a progressive disease, and most patients require treatment with combinations of glucose-lowering agents. The sodium glucose co-transporter 2 (SGLT2) receptor inhibitors are a new class of glucose-lowering agents. Objective To assess the clinical effectiveness and safety of the SGLT2 receptor inhibitors in dual or triple therapy in type 2 diabetes. Data sources MEDLINE, Embase, Cochrane Library (all sections); Science Citation Index; trial registries; conference abstracts; drug regulatory authorities; bibliographies of retrieved papers. Inclusion criteria Randomised controlled trials of SGLT2 receptor inhibitors compared with placebo or active comparator in type 2 diabetes in dual or combination therapy. Methods Systematic review. Quality assessment used the Cochrane risk of bias score. Results Seven trials, published in full, assessed dapagliflozin and one assessed canagliflozin. Trial quality appeared good. Dapagliflozin 10 mg reduced HbA1c by −0.54% (weighted mean differences (WMD), 95% CI −0.67 to −0.40) compared to placebo, but there was no difference compared to glipizide. Canagliflozin reduced HbA1c slightly more than sitagliptin (up to −0.21% vs sitagliptin). Both dapagliflozin and canagliflozin led to weight loss (dapagliflozin WMD −1.81 kg (95% CI −2.04 to −1.57), canagliflozin up to −2.3 kg compared to placebo). Limitations Long-term trial extensions suggested that effects were maintained over time. Data on canagliflozin are currently available from only one paper. Costs of the drugs are not known so cost-effectiveness cannot be assessed. More data on safety are needed, with the Food and Drug Administration having concerns about breast and bladder cancers. Conclusions Dapagliflozin appears effective in reducing HbA1c and weight in type 2 diabetes, although more safety data are needed

On the Assouad dimension of self-similar sets with overlaps

It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can exceed the similarity dimension if there are overlaps in the construction. Our main result is the following precise dichotomy for self-similar sets in the line: either the \emph{weak separation property} is satisfied, in which case the Hausdorff and Assouad dimensions coincide; or the \emph{weak separation property} is not satisfied, in which case the Assouad dimension is maximal (equal to one). In the first case we prove that the self-similar set is Ahlfors regular, and in the second case we use the fact that if the \emph{weak separation property} is not satisfied, one can approximate the identity arbitrarily well in the group generated by the similarity mappings, and this allows us to build a \emph{weak tangent} that contains an interval. We also obtain results in higher dimensions and provide illustrative examples showing that the `equality/maximal' dichotomy does not extend to this setting.Comment: 24 pages, 2 figure

Fundamental Justice and the Deflection of Refugees from Canada

Canada is preparing to implement a controversial provision of the Immigration Act that will deny asylum seekers the opportunity even to argue their need for protection from persecution. Under a policy labelled deflection by the authors, the claims of refugees who travel to Canada through countries deemed safe, likely the United States and eventually Europe, will be rejected without any hearing on the merits. Because deflection does not require substantive or procedural harmonization of refugee law among partner states, it will severely compromise the ability of genuine refugees to seek protection. The article considers the impact of the Singh ruling of the Supreme Court of Canada and subsequent jurisprudence to determine whether a deflection system can be reconciled to the requirements of sections 7 and 1 of the Canadian Charter of Rights and Freedoms. Deflection mechanisms ought not to survive challenge under the Charter. The new procedure poses a risk to the security of the person of asylum seekers who are physically present in Canada. At the same time, it does not respect the principles of fundamental justice, and cannot be justified as necessary to deter abuse, advance national security, or promote international comity

On \u3cem\u3eτ\u3csub\u3eσ\u3c/sub\u3e\u3c/em\u3e-Quasinormal Subgroups of Finite Groups

Let σ = {σi ∣ i ∈ I} be a partition of the set of all primes P and G a finite group. A set H of subgroups of G is said to be a complete Hall σ-set of G if every member ≠ 1 of H is a Hall σi-subgroup of G for some i ∈ I and H contains exactly one Hall σi-subgroup of G for every i such that σi ∩ π(G) ≠ ∅. Let τH(A) = {σi ∈ σ(G) \ σ(A) ∣ σ(A) ∩ σ(HG) ≠ ∅ for a Hall σi-subgroup H of G}. We say that a subgroup A of G is τσ-permutable or τσ-quasinormal in G with respect to H if AHx = Hx A for all x ∈ G and all H ∈ H such that σ(H) ⊆ τH(A), and τσ-permutable or τσ-quasinormal in G if A is τσ-permutable in G with respect to some complete Hall σ-set of G. We study G assuming that τσ-quasinormality is a transitive relation in G

Making International Refugee Law Relevant Again: A Proposal for Collectivized and Solution-Oriented Protection

International refugee law is in crisis. Even as armed conflict and human rights abuse continue to force individuals and groups to flee their home countries, many governments are withdrawing from the legal duty to provide refugees with the protection they require. While governments proclaim a willingness to assist refugees as a matter of political discretion or humanitarian goodwill, they appear committed to a pattern of defensive strategies designed to avoid international legal responsibility toward involuntary migrants. Some see this shift away from a legal paradigm of refugee protection as a source for enhanced operational flexibility in the face of changed political circumstances. For refugees themselves, however, the increasingly marginal relevance of international refugee law has in practice signalled a shift to inferior or illusory protection. It has also imposed intolerable costs on many of the poorest countries, and has involved developed states in practices antithetical to their basic political values