On Rameshvaram island in the south-east corner of India lies one of Hinduism's most important temples—the Rāmanāthasvāmi, one of the four dhams (‘holy abodes’) and the site of two Śiva-liṅgas said to have been consecrated by Rāma himself. A temple has existed here since at least the eleventh century, although most of the present temple dates to the seventeenth and eighteenth centuries when the island was protected by the Setupati rulers of nearby Ramnad. In several of the long corridors and halls for which this temple is famous are brightly painted life-sized standing images of over 100 male figures attached to columns. Though such images are characteristic of many south Indian temples from the seventeenth and eighteenth centuries, there are far more at Rameshvaram than at any other south Indian temple. This article examines the number, location, and significance of these numerous standing images within this temple. By exploring the significance of the temple as a long-standing site for the royal performance of devotion, this article seeks to address whether the great number and identity of the life-sized donor images can be explained by both Purāṇic ideas of kingship and seventeenth- and eighteenth-century Dutch observations of the pan-Indian status of the temple.

We investigate sections of the arithmetic fundamental group $\pi _1(X)$ where X is either a smooth affinoid p-adic curve, or a formal germ of a p-adic curve, and prove that they can be lifted (unconditionally) to sections of cuspidally abelian Galois groups. As a consequence, if X admits a compactification Y, and the exact sequence of $\pi _1(X)$ splits, then $\text {index} (Y)=1$. We also exhibit a necessary and sufficient condition for a section of $\pi _1(X)$ to arise from a rational point of Y. One of the key ingredients in our investigation is the fact, we prove in this paper in case X is affinoid, that the Picard group of X is finite.

The difference between the representation of German femininity in the 1920s and the 1930s is striking: while glamorous flappers with bob haircuts ruled the beginning of the interwar period, its end is characterized by serious and earnest—and often longhaired—young women. Rather than taking the obvious route of relating this change to the political changes in Germany, most importantly the rise of the Nazis, this article argues that the changing representation of interwar femininity in Germany was always embedded in a transnational, transatlantic process. The transformation of flappers into humble girls started well before the Nazis came to power and was fueled by a wide variety of voices, from communist to bourgeois actors.

We consider bond percolation on high-dimensional product graphs $G=\square _{i=1}^tG^{(i)}$, where $\square$ denotes the Cartesian product. We call the $G^{(i)}$ the base graphs and the product graph $G$ the host graph. Very recently, Lichev (J. Graph Theory, 99(4):651–670, 2022) showed that, under a mild requirement on the isoperimetric properties of the base graphs, the component structure of the percolated graph $G_p$ undergoes a phase transition when $p$ is around $\frac{1}{d}$, where $d$ is the average degree of the host graph.

In the supercritical regime, we strengthen Lichev’s result by showing that the giant component is in fact unique, with all other components of order $o(|G|)$, and determining the sharp asymptotic order of the giant. Furthermore, we answer two questions posed by Lichev (J. Graph Theory, 99(4):651–670, 2022): firstly, we provide a construction showing that the requirement of bounded degree is necessary for the likely emergence of a linear order component; secondly, we show that the isoperimetric requirement on the base graphs can be, in fact, super-exponentially small in the dimension. Finally, in the subcritical regime, we give an example showing that in the case of irregular high-dimensional product graphs, there can be a polynomially large component with high probability, very much unlike the quantitative behaviour seen in the Erdős-Rényi random graph and in the percolated hypercube, and in fact in any regular high-dimensional product graphs, as shown by the authors in a companion paper (Percolation on high-dimensional product graphs. arXiv:2209.03722, 2022).

The doctrine of creation is a teaching shared across many faith traditions that requires urgent interdisciplinary attention today. Joanna Leidenhag's book Minding Creation considers how the philosophy of panpsychism might be beneficial to the Christian articulation of creation. This article is an overview of the book, in order to contextualize the four responses and author's reply that follows.