A note on particle kinematics in Horava-Lifshitz scenarios

In this short note we clarify a link between anisotropic-scaling scenarios and Finsler spacetimes. Generalizing earlier analysis it is shown that the kinematics of propagating particles (in the sense of geometrical optics) can be described in terms of (pseudo-)Finsler structures

Cosmology from Group Field Theory Formalism for Quantum Gravity

We identify a class of condensate states in the group field theory (GFT) approach to quantum gravity that can be interpreted as macroscopic homogeneous spatial geometries. We then extract the dynamics of such condensate states directly from the fundamental quantum GFT dynamics, following the procedure used in ordinary quantum fluids. The effective dynamics is a non-linear and non-local extension of quantum cosmology. We also show that any GFT model with a kinetic term of Laplacian type gives rise, in a semi-classical (WKB) approximation and in the isotropic case, to a modified Friedmann equation. This is the first concrete, general procedure for extracting an effective cosmological dynamics directly from a fundamental theory of quantum geometry

On moments of the integrated exponential Brownian motion

We present new exact expressions for a class of moments for the geometric Brownian motion, in terms of determinants, obtained using a recurrence relation and combinatorial arguments for the case of a Ito's Wiener process. We then apply the obtained exact formulas to computing averages of the solution of the logistic stochastic differential equation via a series expansion, and compare the results to the solution obtained via Monte Carlo

Optimal growth trajectories with finite carrying capacity

We consider the problem of finding optimal strategies that maximize the average growth rate of multiplicative stochastic processes. For a geometric Brownian motion, the problem is solved through the so-called Kelly criterion, according to which the optimal growth rate is achieved by investing a constant given fraction of resources at any step of the dynamics. We generalize these finding to the case of dynamical equations with finite carrying capacity, which can find applications in biology, mathematical ecology, and finance. We formulate the problem in terms of a stochastic process with multiplicative noise and a nonlinear drift term that is determined by the specific functional form of carrying capacity. We solve the stochastic equation for two classes of carrying capacity functions (power laws and logarithmic), and in both cases we compute the optimal trajectories of the control parameter. We further test the validity of our analytical results using numerical simulations

Curved geometry and Graphs

Quantum Graphity is an approach to quantum gravity based on a background independent formulation of condensed matter systems on graphs. We summarize recent results obtained on the notion of emergent geometry from the point of view of a particle hopping on the graph. We discuss the role of connectivity in emergent Lorentzian perturbations in a curved background and the Bose--Hubbard (BH) model defined on graphs with particular symmetries.Comment: are welcome. 4pp, 2 fig. Proceedings of Loops'11 Conference, Madri

Gravitational dynamics in Bose Einstein condensates

Analogue models for gravity intend to provide a framework where matter and gravity, as well as their intertwined dynamics, emerge from degrees of freedom that have a priori nothing to do with what we call gravity or matter. Bose Einstein condensates (BEC) are a natural example of analogue model since one can identify matter propagating on a (pseudo-Riemannian) metric with collective excitations above the condensate of atoms. However, until now, a description of the "analogue gravitational dynamics" for such model was missing. We show here that in a BEC system with massive quasi-particles, the gravitational dynamics can be encoded in a modified (semi-classical) Poisson equation. In particular, gravity is of extreme short range (characterized by the healing length) and the cosmological constant appears from the non-condensed fraction of atoms in the quasi-particle vacuum. While some of these features make the analogue gravitational dynamics of our BEC system quite different from standard Newtonian gravity, we nonetheless show that it can be used to draw some interesting lessons about "emergent gravity" scenarios.Comment: Replaced with published version. 15 pages, no figures, revtex4. Reference adde

Study on hepatitis B and C serologic status among municipal solid waste workers in Messina (Italy)

A study on hepatitis B and C virus seroprevalence was carried out on blood samples from 327 municipal solid waste workers in Messina (Italy) to verify the hypothesis that this category of workers is at high risk for such diseases. The fact that 32.41% of all the subjects showed previous exposure to hepatitis B virus (HBV) substantiates the need to proceed with compulsory HBV vaccine prophylaxis in this category of workers, also in anticipation of possible medical legal litigations

Identification of the microorganisms responsible for periodontopathy by Multiplex RT-PCR

The aim of our research was to identify by bacterial genomicDNA analysis the prevalence of five different species of periodontopathogenic bacteria present in the subgingival biofilm,specifically: Actinobacillus actinomycetemcomitans (Aa), Porphyromonas gingivalis (Pg), Prevotella intermedia (Pi), Bacterioides forsytus (Bf), Treponema denticola (Td).For the analysis we used the systematic Multiplex-PCR-microdentkit with species-specific primers. We studied a group of 48 subjects, 18 males and 30 females, from 18 to 78 years of age. Theinitial clinical screening enabled us to select, among the groupanalysed, 24 subjects with signs of active periodontopathy (GroupA) and 24 patients without identifiable clinical evidence of the disease used as the control group (Group B). Within the two experimental groups (A and B), the test was found to be positive in 75%of subjects from group A, whereas the test was found to be negative in all the subjects from group B. Our research shows thatthe Multiplex-PCR system is reliable. Furthermore, the sensitivity and simplicity of this technique, as well as the decrease inworking times and the possibility of identifying non-culturablebacteria, since the presence of viable organisms is not essential,make this technique indicated for the simultaneous identificationof periodontopathogenic bacteria and might, in perspective, pro-vide a more effective clinical alternative to the techniques of bacterial typing of the subgingival plaque

Cyclic and Ekpyrotic Universes in Modified Finsler Osculating Gravity on Tangent Lorentz Bundles

We consider models of accelerating Universe elaborated for Finsler like gravity theories constructed on tangent bundles to Lorentz manifolds. In the osculating approximation, certain locally anisotropic configurations are similar to those for f(R) gravity. This allows us to generalize a proposal (by Nojiri, Odintsov and Saez-Gomez, arXiv: 1108.0767) in order to reconstruct and compare two classes of Einstein-Finsler gravity, EFG, and f(R) gravity theories using modern cosmological data and realistic physical scenarios. We conclude that EFG provides inflation, acceleration and little rip evolution scenarios with realistic alternatives to standard Lambda CDM cosmology. The approach is based on a proof that there is a general decoupling property of gravitational field equations in EFG and modified theories which allows us to generate off-diagonal cosmological solutions.Comment: latex2e, 28 pages, version accepted by CQG, with modifications and additional explanations and new references requested by referee