We also prove that a Gromov hyperbolic geodesic metric measure space with bounded geometry admitting a bi-Lipschitz embedded 3-regular tree has non-trivial first reduced Lp-cohomology for large enough p.

Namely, the first reduced Lp-cohomology on homogeneous, closed at infinity, Riemannian manifolds vanishes. As a byproduct, we prove a conjecture by Pansu. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group has no first reduced lp-cohomology. Ancient Mosaics In Egypt and Mesopotamia, furniture, small architectural features, and jewelry were occasionally adorned with inset bits of enamel, glass, and colored stone. more We prove that the first reduced cohomology with values in a mixing Lp-representation, p larger than 1, vanishes for a class of amenable groups including connected amenable Lie groups. mosaic mosaic (mzk), art of arranging colored pieces of marble, glass, tile, wood, or other material to produce a surface ornament. Giuseppe Politi as a user also carried out the project “Study Of OChre based pigment on Archaelogical object from different sites for a possible provenance attribution (SOOCA)”.We prove that the first reduced cohomology with values in a mixing Lp-representation, p larger th. As the chemical composition of stone tesserae has already been measured with the non-invasive PIXE technique, a comparison with the composition of the Pietra Pece stone coming from these sites will confirm the provenance attribution for this raw material. Among these, the use of Pietra Pece is documented for the first time, a kind of stone available in two sites in Sicily. The dominant (but not exclusive) Roman style in Italy itself used only black and white tesserae, a taste which survived well into the 3rd century CE and was most often used to represent marine motifs, especially when used for Roman baths (those from the first floor of the Baths of Caracalla in Rome are an excellent example). On the reverse, a depiction of a sharp pointed instrument between two sheathed knives, topped by a. The front features the depiction of a male bust, wearing a highly detailed kelathos headdress and holding a branch in his left hand. The results opened new insights on the supply of raw materials from lithotypes pertaining to the Hyblean geological units. A rare Palmyrene bronze token or tessera decorated on both sides. Some stone tesserae of this site, representatives of the different color nuances of the mosaics have been collected and analyzed, for the first time, by PIXE and minero-petrographic techniques with the aim of characterizing raw materials and define their provenance. Roman Tessera A tessera was the ancient Roman equivalent of a theater ticket. The “Villa Romana del Tellaro” is an archaeological site near Siracusa discovered in 1970’ and dating from 4th century AD, with similar characteristics. The archaeological site of the ‘Villa del Casale’ near Piazza Armerina, included in the World Heritage list by UNESCO, represents one of the most important examples of Sicilian and Italian mosaic art and a valuable testimony of Roman civilization on this island. Roman mosaics are widely diffused in various part of Sicily, with realization dates ranging from 2nd to 4th century AD. Technique requested: Particle Induced X-ray Emission (PIXE)įacility: Grand Louvre Accelerator for Elemental Analysis (FR) Organisation: Università di Catania, Dipartimento di Fisica e Astronomia (IT)

Roman tessera