In sociology, aesthetics have become an important lens for exploring the sensory dimensions of political and economic processes, with research on urban aesthetics contributing significantly to this field. However, much of this work focuses on how aesthetic forms serve the interests of political and economic elites, portraying aesthetic value as a direct product of political ideologies. While these approaches have shown that urban aesthetics are shaped by power struggles, they pay limited theoretical attention to less straightforward aspects of aesthetic politics—such as cases where clashing values, imperatives, and commitments meet. This gap is particularly pronounced in places shaped by violent histories, where the value of urban beauty might be inevitably entangled with loss, ambivalence, and co-existence with unwanted materialities. This article proposes an approach that foregrounds the dilemmas and compromises inherent in urban aesthetic politics, focusing on the varied practices through which people negotiate how to care for urban aesthetic value over time. I develop this approach through a case study of Klaipėda, Lithuania—a city shaped by layered aesthetic transformations, from state annexation to socialist modernisation to post-Soviet nation-building and Europeanisation. Using mixed-methods research, the article highlights differences in how people articulate what counts as good and bad aesthetics and which forms of material care—or neglect—are “appropriate” to sustain the city’s desirable aesthetic appeal. In doing so, the article reveals complex gradations of value underlying seemingly coherent aesthetic ideals of Europeanness.

L’année 2024 est marquée à la fois par la passivité de la pratique conventionnelle du Canada et l’hyperactivité de sa pratique contentieuse. L’apurement de l’arriéré des réclamations fondées sur le régime de règlement des différends entre investisseurs et États (RDIE) de l’Accord de libre-échange nord-américain entre le gouvernement du Canada, le gouvernement des États-Unis et le gouvernement du Mexique (ALÉNA) se poursuit.1 De nombreuses sentences sont aussi rendues dans des affaires portées par des investisseurs canadiens à l’étranger, des sociétés minières pour l’essentiel. Ces affaires permettent de tester les innovations juridiques visant à renforcer le droit de légiférer de l’État dans les traités plus récents du Canada. Une première sentence très attendue sur la question hautement controversée de la portée temporelle du régime transitoire de RDIE de l’Accord entre le Canada, les États-Unis et le Mexique (ACÉUM)2 est rendue dans l’affaire TC Energy et TransCanada c États-Unis (II)3 et se solde en faveur de l’État. La controverse sur la portée temporelle de ce régime transitoire fait l’objet d’une analyse détaillée dans la chronique cette année. Un tour d’horizon des principaux autres faits marquants de 2024 est d’abord effectué en ce qui concerne la pratique conventionnelle et la pratique contentieuse du Canada.

Since the setting for Antoninus Liberalis, Metamorphoses 4 has been misinterpreted by commentators and historians, a review of the evidence for the toponym Dryopis is warranted. The narrative logic of the account demands that it be set in Ambracia, but most have interpreted Dryopis as the area near Mt Oeta. A close review of the first lines show that Antoninus’ account is indeed set in Ambracia, which was also called Dryopis.

We consider two-person zero-sum semi-Markov games with incomplete reward information on one side under the expected discount criterion. First, we prove that the value function exists and satisfies the Shapley equation. From the Shapley equation, we construct an optimal policy for the informed player. Second, to show the existence of an optimal policy for the uninformed player, we introduce an auxiliary dual game and establish the relationship between the primal game and the dual game. By this relationship, we also prove the existence of the value function of the dual game, and then construct an optimal policy for the uninformed player in the primal game. Finally, we develop two iterative algorithms to compute $\varepsilon$-optimal policies for the informed player and the uninformed player, respectively.

A random variable $\xi$ has a light-tailed distribution (for short, is light-tailed) if it possesses a finite exponential moment, ${\mathbb{E}} \, {\exp}{(\lambda \xi)} <\infty$ for some $\lambda >0$, and has a heavy-tailed distribution (is heavy-tailed) if ${\mathbb{E}} \, {\exp}{(\lambda\xi)} = \infty$ for all $\lambda>0$. Leipus et al. (2023 AIMS Math. 8, 13066–13072) presented a particular example of a light-tailed random variable that is the minimum of two independent heavy-tailed random variables. We show that this phenomenon is universal: any light-tailed random variable with right-unbounded support may be represented as the minimum of two independent heavy-tailed random variables. Moreover, a more general fact holds: these two independent random variables may have as heavy-tailed distributions as we wish. Further, we extend the latter result to the minimum of any finite number of independent random variables. We also comment on possible generalizations of our result to the case of dependent random variables.

It is a privilege to write a preface to this Symposium on Canada before International Courts and Tribunals, which includes many stimulating and insightful contributions. In this preface, I go back to the beginning and focus on Canada’s first cases at the International Court of Justice (ICJ) and before international arbitral tribunals.

For any integer k and any positive integer n, let $\sigma _k(n)=\sum _{d\mid n}d^k$. For any prime p and any positive integer m, let $\nu _p(m)$ be the largest integer $\alpha $ such that $p^\alpha \mid m$ and let $\lceil x\rceil $ denote the least integer not less than x. In 2021, Amdeberhan et al. [‘Arithmetic properties of the sum of divisors’, J. Number Theory 223 (2021), 325–349] proved that $\nu _2(\sigma _1(n))\le \lceil \log _2n\rceil $ for any positive integer n and that $\nu _p(\sigma _1(n))\le \lceil \log _pn\rceil $ for any odd prime p if n satisfies some conditions. Recently, Zhao and Chen [‘p-adic valuation of the sum of divisors’, Front. Math. 20(4) (2025), 795–827] proved this unconditionally. We generalise these results to all k: for any prime p, any n and any $k\ge 2$, $\nu _p(\sigma _k(n))\le \lceil k\log _p n\rceil .$ Let $p^\star $ be an odd prime. We also prove that there are an integer $k\ge 2$ and a prime q satisfying $\nu _{p^\star }(\sigma _k(q))=\lceil k\log _{p^\star }q\rceil $ if and only if $p^\star $ is a Fermat prime.

Drawing from an interpretivist framework, this paper proposes Black Embodied Political Subjectivity (BEPS) as a conceptual framework that foregrounds the body, affect, and historical memory as critical to political subjectivity. BEPS draws on Black political thought to challenge dominant epistemologies that prioritize disembodied rationality and abstract ideological commitments over lived, felt, and corporeal political experiences. Rather than treating the body as an inert vessel or secondary site of politics, BEPS argues that the body is central to the ways Black people negotiate, contest, and reconstitute power in lived political contexts.