Considerable research has examined Turkey’s discursive governance of the Syrian refugee crisis, identifying the central themes and metaphors in top officials’ refugee-related messages. However, since they tend to rely on qualitative analyses based on convenience or purposive samples, prior studies have failed to assess the relative frequency of these themes and fall short of reliably gauging the shifts and continuities in the official discourse on refugees. Moreover, while several studies have noted the growing emphasis on the repatriation of Syrian refugees in recent years, no research has yet explored how the Turkish government has sought to reconcile this with its pro-refugee posturing. This paper addresses these limitations via a mixed methods analysis of 382 speeches President Erdoğan gave from September 2014 through December 2022. Quantitative findings show that Islamist and neo-Ottomanist themes have played a major role in Erdoğan’s refugee discourse throughout his presidency. However, since 2018, there has been a sharp increase in Erdoğan’s remarks about repatriating Syrian refugees. A critical discourse analysis of these remarks indicates that Erdoğan has appropriated the language of international law and standards on refugee returns so that he can continue to claim the moral high ground while simultaneously advocating mass repatriation of the Syrians.

We prove topological regularity results for isoperimetric sets in PI spaces having a suitable deformation property, which prescribes a control on the increment of the perimeter of sets under perturbations with balls. More precisely, we prove that isoperimetric sets are open, satisfy boundary density estimates and, under a uniform lower bound on the volumes of unit balls, are bounded. Our results apply, in particular, to the class of possibly collapsed $\mathrm {RCD}(K,N)$ spaces. As a consequence, the rigidity in the isoperimetric inequality on possibly collapsed $\mathrm {RCD}(0,N)$ spaces with Euclidean volume growth holds without the additional assumption on the boundedness of isoperimetric sets. Our strategy is of interest even in the Euclidean setting, as it simplifies some classical arguments.

We prove that there exist infinitely many coprime numbers a, b, c with $a+b=c$ and $c>\operatorname {\mathrm {rad}}(abc)\exp (6.563\sqrt {\log c}/\log \log c)$. These are the most extremal examples currently known in the $abc$ conjecture, thereby providing a new lower bound on the tightest possible form of the conjecture. Our work builds on that of van Frankenhuysen (J. Number Theory 82(2000), 91–95) who proved the existence of examples satisfying the above bound with the constant $6.068$ in place of $6.563$. We show that the constant $6.563$ may be replaced by $4\sqrt {2\delta /e}$ where $\delta $ is a constant such that all unimodular lattices of sufficiently large dimension n contain a nonzero vector with $\ell _1$-norm at most $n/\delta $.

Suppose that $f:X\to C$ is a general Jacobian elliptic surface over ${\mathbb {C}}$ of irregularity $q$ and positive geometric genus $h$. Assume that $10 h>12(q-1)$, that $h>0$ and let $\overline {\mathcal {E}\ell \ell }$ denote the stack of generalized elliptic curves. (1) The moduli stack $\mathcal {JE}$ of such surfaces is smooth at the point $X$ and its tangent space $T$ there is naturally a direct sum of lines $(v_a)_{a\in Z}$, where $Z\subset C$ is the ramification locus of the classifying morphism $\phi :C\to \overline {\mathcal {E}\ell \ell }$ that corresponds to $X\to C$. (2) For each $a\in Z$ the map $\overline {\nabla }_{v_a}:H^{2,0}(X)\to H^{1,1}_{\rm prim}(X)$ defined by the derivative $per_*$ of the period map $per$ is of rank one. Its image is a line ${\mathbb {C}}[\eta _a]$ and its kernel is $H^0(X,\Omega ^2_X(-E_a))$, where $E_a=f^{-1}(a)$. (3) The classes $[\eta _a]$ form an orthogonal basis of $H^{1,1}_{\rm prim}(X)$ and $[\eta _a]$ is represented by a meromorphic $2$-form $\eta _a$ in $H^0(X,\Omega ^2_X(2E_a))$ of the second kind. (4) We prove a local Schottky theorem; that is, we give a description of $per_*$ in terms of a certain additional structure on the vector bundles that are involved. Assume further that $8h>10(q-1)$ and that $h\ge q+3$. (5) Given the period point $per(X)$ of $X$ that classifies the Hodge structure on the primitive cohomology $H^2_{\rm prim}(X)$ and the image of $T$ under $per_*$ we recover $Z$ as a subset of ${\mathbb {P}}^{h-1}$ and then, by quadratic interpolation, the curve $C$. (6) We prove a generic Torelli theorem for these surfaces. Everything relies on the construction, via certain kinds of Schiffer variations of curves, of certain variations of $X$ for which $per_*$ can be calculated. (In an earlier version of this paper we used variations constructed by Fay. However, Schiffer variations are slightly more powerful.)

Positive solitude (PS), the choice of being alone to engage in meaningful inner or physical, spiritual, mental, or cognitive activity/ experience, was recently suggested as a stand-alone phenomenon differentiated from loneliness and negative solitude. As loneliness was previously found to have adverse implications for mental health, the present study examined whether the ability to engage in PS can moderate the harmful effect of loneliness on depressive symptoms. The sample consisted of 520 community-dwelling older adults in Israel aged 68–87 (Mage = 72.66). Participants answered an online questionnaire through a survey company (Ipanel) assessing their background characteristics, depressive symptoms, loneliness, and PS. Loneliness was positively associated with depressive symptoms, whereas PS was negatively associated with depressive symptoms. Furthermore, PS moderated the relationship between loneliness and depressive symptoms, such that higher levels of PS weakened this association. The findings indicate that PS may serve as a buffering factor for mental health among older adults by augmenting coping with the adverse outcomes of loneliness. The results provide insight for tailoring future treatment interventions focusing on PS to enhance mental health among older adults.

In 1968, Steinberg [Endomorphisms of Linear Algebraic Groups, Memoirs of the American Mathematical Society, 80 (American Mathematical Society, Providence, RI, 1968)] proved a theorem stating that the exterior powers of an irreducible reflection representation of a Euclidean reflection group are again irreducible and pairwise nonisomorphic. We extend this result to a more general context where the inner product invariant under the group action may not necessarily exist.

According to the bioethical principle of individual decisional autonomy, the patient has a right of informed consent to any medical or experimental procedure. The principle is politically liberal by advocating significant individual freedom as guaranteed by law and secured by civil liberties. When practiced in illiberal communities, might it have a political liberalizing effect? I respond first by analyzing cross-national norms of individual decisional autonomy to identify tensions with illiberal community; second, by examining examining Singapore in a single case study to show that liberal bioethics does not promote political liberalization; and third, by showing that the possibility of practicing liberal bioethics in research, clinically as well as in education, does not require a democratic order, and that liberal bioethics is unlikely to encourage the liberalization of illiberal political communities. Hence, it may never contribute to the development of globally effective cross-national norms for the legal regulation of bioethical research and clinical practice. Fourth, to bolster this analysis, I anticipate several possible objections to various of its aspects.

In the classical gambler’s ruin problem, the gambler plays an adversary with initial capitals z and $a-z$, respectively, where $a>0$ and $0< z < a$ are integers. At each round, the gambler wins or loses a dollar with probabilities p and $1-p$. The game continues until one of the two players is ruined. For even a and $0<z\leq {a}/{2}$, the family of distributions of the duration (total number of rounds) of the game indexed by $p \in [0,{\frac{1}{2}}]$ is shown to have monotone (increasing) likelihood ratio, while for ${a}/{2} \leq z<a$, the family of distributions of the duration indexed by $p \in [{\frac{1}{2}}, 1]$ has monotone (decreasing) likelihood ratio. In particular, for $z={a}/{2}$, in terms of the likelihood ratio order, the distribution of the duration is maximized over $p \in [0,1]$ by $p={\frac{1}{2}}$. The case of odd a is also considered in terms of the usual stochastic order. Furthermore, as a limit, the first exit time of Brownian motion is briefly discussed.