We consider an $\mathrm{M}/\mathrm{G}/\infty$ queue with infinite expected service time. We then provide the transience/recurrence classification of the states (the system is said to be at state n if there are n customers being served), observing also that here (unlike irreducible Markov chains, for example) it is possible for recurrent and transient states to coexist. We also prove a lower bound on the growth speed in the transient case.

This essay challenges the ethnocentrism of the dominant literature on hikmet-i cedide, or the new philosophy, in the late Ottoman Empire. Hikmet-i cedide was “new” in the sense that it did not confine itself to theological discussions and interpretations of holy books. Instead, it found its source of inspiration in the principles of modern Western philosophy, and especially the philosophy of the Enlightenment and Auguste Comte’s positivism. The dominant literature reduces this hikmet-i cedide to the philosophical writings of Muslim/Turkish intellectuals. Problematizing such ethnocentrism, this essay gives an account of hikmet-i cedide from the perspective of Ottoman–Armenians’ early engagement with positivism and the political philosophy of the Enlightenment. It argues that Armenians’ philosophical discourses in the second half of the nineteenth century were characterized by a belief that the principles of the new philosophy were the sine qua non for national survival in the multi-ethnic and multi-religious context of the Empire. They were also characterized by a commitment to reconciling modern Western philosophy with religious attachments. However, this characterization should not be thought to be confined to so-called “Armenian philosophy” but may be generalized to broader late Ottoman thought.

This article examines the empire-wide legal professional community that emerged for the first time in Chinese history during the Qing period (1644–1911). By analyzing a wide range of archival records and primary sources, this study provides valuable insights into the dynamic configurations of late imperial China’s legal culture and juridical field, as well as the thousands of legal specialists who shaped them. The findings challenge much of the received wisdom about late imperial China, which has too often been assumed as a Confucian society that discouraged the use of law and legal expertise and was therefore unlikely to have witnessed so many Confucian literati becoming legal specialists, both within and outside the judicial system.

Elites were pivotal for Latin America’s modernization, yet granular evidence of their industrial entrepreneurship is limited. I study Antioquia, an early center of industrialization, from the late nineteenth to early twentieth centuries. Analyzing elite interactions via newfound archival data and exploiting unexpected deaths as exogenous shocks, I find global connectivity—not local—drove industrial entrepreneurship. This suggests diverse resources unavailable in markets but accessible through global connections were crucial in forming industrial ventures. Thus, this paper depicts how social capital shapes elite outcomes.

John Stuart Mill does not contradict himself in On Liberty with respect to the issue of piecework, contrary to Dale E. Miller's charge that he does. Miller fails to understand that the liberty principle (LP) limits society's authority to regulate trade in that society has no legitimate authority to prohibit or make unduly expensive a buyer's post-trade use of his purchased product in self-regarding ways. LP gives an employer who has purchased labor under a trade contract in a free and fair competitive labor market a right to conclude a separate mutually consensual self-regarding piecework contract with any skilled worker already in his employ.

Background: Congenital cardiac care involves multiple stakeholders including patients and their families, surgeons, cardiologists, anaesthetists, the wider multidisciplinary team, healthcare providers, and manufacturers, all of whom are involved in the decision-making process to some degree. Game theory utilises human behaviour to address the dynamics involved in a decision and what the best payoff is depending on the decision of other players. Aim: By presenting these interactions as a strategic game, this paper aims to provide a descriptive analysis on the utility and effectiveness of game theory in optimising decision-making in congenital cardiac care. Methodology: The comprehensive literature was searched to identify papers on game theory, and its application within surgery. Results: The analysis demonstrated that by utilising game theories, decision-making can be more aligned with patient-centric approaches, potentially improving clinical outcomes. Conclusion: Game theory is a useful tool for improving decision-making and may pave the way for more efficient and improved patient-centric approaches.

We use Stein’s method to obtain distributional approximations of subgraph counts in the uniform attachment model or random directed acyclic graph; we provide also estimates of rates of convergence. In particular, we give uni- and multi-variate Poisson approximations to the counts of cycles and normal approximations to the counts of unicyclic subgraphs; we also give a partial result for the counts of trees. We further find a class of multicyclic graphs whose subgraph counts are a.s. bounded as $n\to \infty$.

The Energy Charter Treaty (ECT) is one of the best-known and most controversial of the international investment treaties. The energy transition necessary to achieve the Paris Agreement climate target will require large and sustained flows of investment capital. Scholars, environmentalists, industry representatives, and governmental officials have intensively debated the modernization of the ECT. The main point of contention is whether the ECT can facilitate the energy transition or whether it entrenches fossil lock-in in unsustainable and unjust ways. This article proposes a comprehensive and integrated approach to the ECT, guided by the theoretical matrix of Earth system law scholarship. Our analysis reveals that the ECT cannot address contemporary socio-ecological challenges, but rather it remains a sectoral piece of a supranational economic constitution far removed from the most pressing exigencies of the Anthropocene.

Harbour seals were extensively hunted in Denmark, but have only been driven to local extinction in one larger area, the South Funen Archipelago and Little Belt, where the species has been absent throughout the 20th century. Despite high growth rates of the Danish harbour seal populations after protection from hunting in 1976, seals have only been observed sporadically in the South Funen Archipelago and Little Belt until recent years, where recolonisation now causes conflicts with fisheries. Here, we review historical sources documenting the local extinction of harbour seals in the area during the 19th century and report the results of aerial surveys of haul-out sites during moulting seasons of 2021–2023 and pupping seasons of 2022 and 2023. Historical sources reveal that seal hunting was a common practice in southern Denmark, but catches dwindled to rarities during the 19th century. During recent surveys, seals were detected at six of the identified potential haul-out sites. Around Aarø Island, an average of 141 (range: 92–186) harbour seals were recorded over four moulting season surveys, constituting the majority (90%) of the total counts of the surveyed area. During the pupping seasons, a total of five pups was encountered at two different haulouts. As none of the haulouts are protected during the pupping and breeding seasons, protective measures may support this recolonisation of the historic harbour seal breeding range.

This study investigates the impact of warfare on nuptial patterns, focusing on the trends and characteristics of age differences within marriage. Specifically, it explores the socio-demographic outcomes of the Imjin War (1592–1598) and post-war reconstruction in Korea, using the earliest extant Chosŏn household registers, compiled between 1606 and 1630. Individual-level microdata were derived involving 2,336 married couples based on 11,749 entries in these registers, covering four administrative districts located in the southeastern region of the Korean peninsula severely devastated by the war. Factors such as status, property, warfare, social practices, and legal regulations influenced spousal age differences. First, social rank and family wealth played pivotal roles, with age gaps widening as a husband's socio-economic status increased. Second, females born after 1580, whose first marriages were affected by the Imjin War and post-war circumstances, experienced an average marital age gap of about ten years. Third, this effect was further complicated by the imposition of socio-legal rules on remarriage; that is, the yangban entailed a pronounced age difference owing to the Neo-Confucian norm of chaste widowhood. This study enriches the understanding of historical marriage customs in Korea and offers insights for studies on age disparity in marriage.