"Euboean" Pottery from Early Iron Age Eretria in the Light of the Neutron Activation Analysis

We analyze complexity in spatial network ensembles through the lens of graph entropy. Mathematically, we model a spatial network as a soft random geometric graph, i.e., a graph with two sources of randomness, namely nodes located randomly in space and links formed independently between pairs of nodes with probability given by a specified function (the "pair connection function") of their mutual distance. We consider the general case where randomness arises in node positions as well as pairwise connections (i.e., for a given pair distance, the corresponding edge state is a random variable). Classical random geometric graph and exponential graph models can be recovered in certain limits. We derive a simple bound for the entropy of a spatial network ensemble and calculate the conditional entropy of an ensemble given the node location distribution for hard and soft (probabilistic) pair connection functions. Under this formalism, we derive the connection function that yields maximum entropy under general constraints. Finally, we apply our analytical framework to study two practical examples: ad hoc wireless networks and the US flight network. Through the study of these examples, we illustrate that both exhibit properties that are indicative of nearly maximally entropic ensembles.Comment: 7 pages, 4 figure

Early Alphabetic Inscriptions from Eretria, Greece: 8th Cent. BC Graffiti from the Sanctuary of Apollo Daphnephoros

La transmission de l'alphabet aux Grecs est un sujet encore très débattu. Les plus anciennes inscriptions alphabétiques grecques datent du VIIIe s. av. J.-C. et une majorité d'entre elles a été trouvée dans des sites eubéens. Une trentaine a été mise au jour à Erétrie, dont 26 proviennent du sanctuaire d'Apollon Daphnéphoros. Ces inscriptions, pour la plupart inscrites sur des coupes à boire, contribuaient à personnaliser des offrandes ou à leur donner de la valeur. Le sanctuaire et les pratiques rituelles qui s'y déroulaient offraient un cadre propice à l'usage précoce de l'écriture, au moment où la polis grecque se constituait. The transmission of alphabet to the Greeks is still a much debated issue. Earliest alphabetical inscriptions date from the 8th cent. BC and a great number of them has been found in Euboean sites. About thirty are known from Eretria, twenty-six of which come from the sanctuary of Apollo Daphnephoros. These inscriptions, most of them written on drinking cups, helped personalize offerings or gave them value. The sanctuary and the ritual practices held there constituted a propitious framework for an early use of writing, at a time and a place where the identity of the polis was taking shape