Collapse or transformation? Regeneration and innovation at the turn of the first millennium BC at Arslantepe, Turkey

Ongoing excavations at Arslantepe in south-eastern Turkey are revealing settlement continuity spanning two crucial phases at the transition from the second to the first millennium BC: the post-Hittite period and the development of Syro-Anatolian societies

Entropy production of resetting processes

Stochastic systems that undergo random restarts to their initial state have been widely investigated in recent years, both theoretically and in experiments. Oftentimes, however, resetting to a fixed state is impossible due to thermal noise or other limitations. As a result, the system configuration after a resetting event is random. Here, we consider such a resetting protocol for an overdamped Brownian particle in a confining potential $V(x)$. We assume that the position of the particle is reset at a constant rate to a random location $x$, drawn from a distribution $p_R(x)$. To investigate the thermodynamic cost of resetting, we study the stochastic entropy production $S_{\rm Total}$. We derive a general expression for the average entropy production for any $V(x)$, and the full distribution $P(S_{\rm Total}|t)$ of the entropy production for $V(x)=0$. At late times, we show that this distribution assumes the large-deviation form $P(S_{\rm Total}|t)\sim \exp\left[-t^{2\alpha-1}\phi\left(\left(S_{\rm Total}-\langle S_{\rm Total}\rangle\right)/t^{\alpha}\right)\right]$, with $1/2<\alpha\leq 1$. We compute the rate function $\phi(z)$ and the exponent $\alpha$ for exponential and Gaussian resetting distributions. In the latter case, we find the anomalous exponent $\alpha=2/3$ and show that $\phi(z)$ has a first-order singularity at a critical value of $z$, corresponding to a real-space condensation transition.Comment: 29 pages, 6 figure

Servi delle Muse e canti trenodici (in margine a Eur. Ph. 1499)

In Eur. Ph. 1499 some scholars assumes μουσοπόλος as an adjective, but the occurrences of the term and the comparison with Sapph. fr. 150 V. suggest that it could be a noun; therefore, also the structure of the line should be reconsidered

Una congettura a Eur. Thy. fr. 396.1 Kn.

Only nine fragments of the lost euripidean play titled Thyestes survived. What remains is not enough to delineate the plot and to identify the myth it treated. We are not able to determine whether this tragedy was about the first exile of Thyestes (due to his betrayal) or the second one (after Atreus’ wicked banquet). One of the most problematic fragments of Euripides’ Thyestes is fr. 396 Kn. From a part of textual tradition, it seems that Thyestes called his brother Atreus “old man”. Such an apostrophe could bear certain weight on the delineation of the plot. These verses are transmitted by Aristoteles’ Rhetorics along with an anonymous commentary to the same. In the main Aristoteles’ codex the first line is ἀλλʼ εἴπερ ἔστιν ἐν βροτοῖς †ψευδηγέρον† (Kassel proposed the dissimilation ψευδῆ, γέρον), but some manuscripts and the anonymous commentator read ψευδηγορεῖν, while others have the contra metrum ψευδολογεῖν. This lectio recentior and the collation of the other witnesses can be the starting points to elaborate an alternative conjecture.Only nine fragments of the lost euripidean play titled Thyestes survived. What remains is not enough to delineate the plot and to identify the myth it treated. We are not able to determine whether this tragedy was about the first exile of Thyestes (due to his betrayal) or the second one (after Atreus’ wicked banquet). One of the most problematic fragments of Euripides’ Thyestes is fr. 396 Kn. From a part of textual tradition, it seems that Thyestes called his brother Atreus “old man”. Such an apostrophe could bear certain weight on the delineation of the plot. These verses are transmitted by Aristoteles’ Rhetorics along with an anonymous commentary to the same. In the main Aristoteles’ codex the first line is ἀλλʼ εἴπερ ἔστιν ἐν βροτοῖς †ψευδηγέρον† (Kassel proposed the dissimilation ψευδῆ, γέρον), but some manuscripts and the anonymous commentator read ψευδηγορεῖν, while others have the contra metrum ψευδολογεῖν. This lectio recentior and the collation of the other witnesses can be the starting points to elaborate an alternative conjecture