arXiv subjects

I. Lazzizzera

Publications and source records attributed to I. Lazzizzera.

8 recordsLinked to original sources

arXiv2023

Founding a mathematical diffusion model in linguistics. The case study of German syntactic features in the North-Eastern Italian dialects

The initial motivation for this work was the linguistic case of the spread of Germanic syntactic features into Romance dialects of North-Eastern Italy, which occurred after the immigration of German people to Tyrol during the High Middle Ages. To obtain a representation of the data over the territory suitable for a mathematical formulation, an interactive map is produced as a first step, using tools of what is called Geographic Data Science. A smooth two-dimensional surface G is introduced, expressing locally which fraction of territory uses a given German language feature: it is obtained by a piecewise cubic curvature minimizing interpolant of the discrete function that says if at any surveyed locality that feature is used or not. This surface G is thought of as the value at the present time of a function describing a diffusion-convection phenomenon in two dimensions (here said tidal mode), which is subjected in a very natural way to the same equation used in physics, introducing a contextual diffusivity concept: it is shown that with two different assumptions about diffusivity, solutions of this equation, evaluated at the present time, fit well with the data interpolated by G, thus providing two convincing different pictures of diffusion-convection in the case under study, albeit simplifications and approximations. Very importantly, it is shown that the linguistic diffusion model known to linguists as Schmidt waves can be counted among the solutions of the diffusion equation

cs.CL↗

arXiv2000

Second Topological Moment < m^2 > of Two Closed Entangled Polymers

We calculate the second topological moment < m^2 > of entanglement of two closed polymers $P_1$ and $P_2$ in a solution. The result holds approximately for a closed polymer linked to many others, which may be considered as a single very long effective polymer.

cond-mat↗

arXiv2000

Calculation of Second Topological Moment of Two Entangled Polymers

We set up a Chern-Simons theory for the entanglement of two polymers P_1 and P_2, and calculate the second topological moment , where m is the linking number. The result applies approximately to a polymer in an ensemble of many others, if these are considered as a single very long effective polymer.

cond-mat↗

arXiv1999

Toward a Field Theoretical Description of Topologically Linked Polymers

In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical approach of Edwards. As an application, the effects of the topological interactions are studied in the one loop approximation. A natural way to include in the treatment also more sophisticated link invariants than the Gauss linking number is outlined.

hep-th↗

arXiv1997

Searching the Higgs with the Neurochip TOTEM

We show that neural network classifiers can be helpful in discriminating Higgs production events from the huge background at LHC, assuming the case of a mass value $M_H \sim 200$ GeV. We use the high performance neurochip TOTEM, trained by the Reactive Tabu Search algorithm (RTS), which could be used for on-line purposes. Two different sets of input variables are compared.

hep-ex↗

arXiv1997

Perturbative Analysis of Chern-Simons Field Theory in the Coulomb Gauge

In this paper we analyse the perturbative aspects of Chern-Simons field theories in the Coulomb gauge. We show that in the perturbative expansion of the Green functions there are neither ultraviolet not infrared divergences. Moreover, all the radiative corrections are zero at any loop order. Some problems connected with the Coulomb gauge fixing, like the appearance of spurious singularities in the computation of the Feynman diagrams, are discussed and solved. The regularization used here for the spurious singularities can be easily applied also to the Yang-Mills case, which is affected by similar divergences.

hep-th↗

arXiv1997

Role of Neural Networks in the Search of the Higgs Boson at LHC

We show that neural network classifiers can be helpful to discriminate Higgs production from background at LHC in the Higgs mass range M= 200 GeV. We employ a common feed-forward neural network trained by the backpropagation algorithm for off-line analysis and the neural chip Totem, trained by the Reactive Tabu Search algorithm, which could be used for on-line analysis.

hep-ex↗

arXiv1997

Totem: a case study in HEP

It is being proved that the neurochip \Totem{} is a viable solution for high quality and real time computational tasks in HEP, including event classification, triggering and signal processing. The architecture of the chip is based on a "derivative free" algorithm called Reactive Tabu Search (RTS), highly performing even for low precision weights. ISA, VME or PCI boards integrate the chip as a coprocessor in a host computer. This paper presents: 1) the state of the art and the next evolution of the design of \Totem{}; 2) its ability in the Higgs search at LHC as an example.

hep-ex↗