Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees

We consider translation-invariant splitting Gibbs measures (TISGMs) for the $q$-state Potts model on a Cayley tree of order two. Recently a full description of the TISGMs was obtained, and it was shown in particular that at sufficiently low temperatures their number is $2^{q}-1$. In this paper for each TISGM $\mu$ we explicitly give the set of boundary conditions such that limiting Gibbs measures with respect to these boundary conditions coincide with $\mu$.Comment: 15 pages, 8 figure

Study of properties of high field superconductors, ac field induced flux jumps Technical summary report, 21 Jun. 1965 - 26 Apr. 1966

Magnetization experiments in superimposed dc and audiofrequency ac magnetic fields on cold worked NbTi alloy samples - ac field induced flux jump

Study of properties of high-field superconductors at elevated temperatures Final technical report, 27 Apr. - 26 Aug. 1966

Properties of high field superconductors at high temperatures - magnetization experiments on niobium and niobium compound

On free energies of the Ising model on the Cayley tree

We present, for the Ising model on the Cayley tree, some explicit formulae of the free energies (and entropies) according to boundary conditions (b.c.). They include translation-invariant, periodic, Dobrushin-like b.c., as well as those corresponding to (recently discovered) weakly periodic Gibbs states. The later are defined through a partition of the tree that induces a 4-edge-coloring. We compute the density of each color.Comment: 18 pages, 4 figure

Thermodynamic versus Topological Phase Transitions: Cusp in the Kert\'esz Line

We present a study of phase transitions of the Curie--Weiss Potts model at (inverse) temperature $\beta$, in presence of an external field $h$. Both thermodynamic and topological aspects of these transitions are considered. For the first aspect we complement previous results and give an explicit equation of the thermodynamic transition line in the $\beta$--$h$ plane as well as the magnitude of the jump of the magnetization (for $q \geqslant 3)$. The signature of the latter aspect is characterized here by the presence or not of a giant component in the clusters of a Fortuin--Kasteleyn type representation of the model. We give the equation of the Kert\'esz line separating (in the $\beta$--$h$ plane) the two behaviours. As a result, we get that this line exhibits, as soon as $q \geqslant 3$, a very interesting cusp where it separates from the thermodynamic transition line

Identità e relazioni sociali. Dai popoli migranti alla cultura del Web 2.0

Nel saggio è una riflessione preliminare su cos'è da intendere per identità prima di individuare il ruolo che svolge la comunicazione non solo nel mantenere ma anche e soprattutto nel costruire identità e nel gestire relazioni, nel senso di crearle, mutarle o annullarle.The essay is a reflection about identity and role of communication on creating, mantaining and destroying social relations

TAVI nel trattamento della stenosi aortica degenerativa: stato dell’arte e prospettive

Degenerative aortic stenosis is the most common form of heart valve disease in developed countries and predominantly affects the elderly. Aortic valve replacement (AVR) has been the gold standard, but recently, transcatheter aortic valve implantation has emerged as an effective therapeutic alternative to conventional AVR for high-risk patients. This review analyzed the literature about AVR, with the objective of evaluating the outcomes of transcatheter aortic valve implantation in patients who are not eligible for surgery showing an improvement in quality of life and middle-term outcomes. The crucial point is the lack of studies with long-term follow-up that could give therapeutic importance to percutaneous valve replacemen

Catalytic asymmetric C–C cross-couplings enabled by photoexcitation

Enantioselective catalytic processes are promoted by chiral catalysts that can execute a specific mode of catalytic reactivity, channeling the chemical reaction through a certain mechanistic pathway. Here, we show how by simply using visible light we can divert the established ionic reactivity of a chiral allyl–iridium(iii) complex to switch on completely new catalytic functions, enabling mechanistically unrelated radical-based enantioselective pathways. Photoexcitation provides the chiral organometallic intermediate with the ability to activate substrates via an electron-transfer manifold. This redox event unlocks an otherwise inaccessible cross-coupling mechanism, since the resulting iridium(ii) centre can intercept the generated radicals and undergo a reductive elimination to forge a stereogenic centre with high stereoselectivity. This photochemical strategy enables difficult-to-realize enantioselective alkyl–alkyl cross-coupling reactions between allylic alcohols and readily available radical precursors, which are not achievable under thermal activation. [Figure not available: see fulltext.

Distribución de las precipitaciones en Rafaela y Esperanza, Santa Fe

p.85-89Para determinar el modelo estadístico que provea el mejor ajuste para la distribución de precipitaciones en las localidades de Rafaela y Esperanza (Santa Fe), se utilizaron los registros de precipitaciones mensuales de Esperanza (1929 - 1975) y Rafaela (1937 - 1998). Las distribuciones empíricas se compararon con las teóricas Normal y Logaritmica (LN), Normal Raíz Cúbica (NR) y Gamma Incompleta (GI). Según la prueba de Lilliefors, NR y GI presentaron el mejor ajuste para todos los meses (p menor 0,01). LN presentó buen ajuste (p menor 0,05) para todas las estaciones del año, excepto el invierno