Methodological Basis for Macroeconomic Projections in Countries Exposed to Pressures and Shocks: Example of Serbia

The presented Macroeconomic Projections Model is based on a “pre-established” model for projecting the balance of payment linked with the balance of gross domestic product use. Such a model is the “authentic! one, designed by authors, i.e. based on a no theoretical concept of modelling the macroeconomic equilibrium, but it has a “heuristic” (experiential) character. The idea for designing such a model comes from the fact that theoretical models involve numerous equations that are to be solved, with numerous parameters to be estimated, including also the problem of linearity (smoothness) of longterm analytical curves, as well as the problem of an undeveloped market, a closed economy or an economy that is fragile in its relations with foreign countries, the problem of “turning” points, different internal or external shocks, etc.Macroeconomic projections, GDP deflators, Modelling, Sustainability.

Cumulants of Hawkes point processes

We derive explicit, closed-form expressions for the cumulant densities of a multivariate, self-exciting Hawkes point process, generalizing a result of Hawkes in his earlier work on the covariance density and Bartlett spectrum of such processes. To do this, we represent the Hawkes process in terms of a Poisson cluster process and show how the cumulant density formulas can be derived by enumerating all possible "family trees", representing complex interactions between point events. We also consider the problem of computing the integrated cumulants, characterizing the average measure of correlated activity between events of different types, and derive the relevant equations.Comment: 11 pages, 4 figure

Optimised control of Stark-shift-chirped rapid-adiabatic-passage in a lambda-type three-level system

Inhomogeneous broadening of energy levels is one of the principal limiting factors for achieving "slow" or "stationary" light in solid state media by means of electromagnetically induced transparency (EIT), a quantum version of stimulated Raman adiabatic passage (STIRAP). Stark-shift-chirped rapid-adiabatic-passage (SCRAP) has been shown to be far less sensitive to inhomogeneous broadening than STIRAP, a population transfer technique to which it is closely related. We further optimise the pulses used in SCRAP to be even less sensitive to inhomogeneous broadening in a lambda-type three-level system. The optimised pulses perform at a higher fidelity than the standard gaussian pulses for a wide range of detunings (i.e. large inhomogeneous broadening).Comment: 6 pages, 6 figures, 1 tabl

The equipment for control very low temperatures during the detection defects of solar cells

Předkládaná práce pojednává o měření velmi nízkých teplot při detekci defektů solárních článků metodou fotoluminiscence. K ochlazování solárních článků na nízkou teplotu je použit kapalný dusík. Jeho vlastnosti, uchování a bezpečnost při manipulaci s ním jsou v této práci také popsány. Teplota v kryogenní oblasti je měřena pomocí termočlánkových snímačů. Hlavním úkolem této práce bylo navrhnout a vyrobit zařízení pro kontrolu velmi nízkých teplot, zajišťující také signalizaci nebezpečí popálení v nízkých teplotách. Zařízení bylo vytvořeno pro doplnění stávajícího detekčního pracoviště defektů solárních článků metodou fotoluminiscence.This work deals with measuring of very low temperatures during the detection defects of solar cells by photoluminescence method. Liquid nitrogen is used to cooling solar cells. Properties of liquid nitrogen and safety of handling are described in this work. Themperature in cryo area is measured by the thermocouple senzors. A main part of this work was to concept and creation of equipment for themperature controling in cryo technique. This equipment signalling danger scorch in low temperatures. The device was created to complement work place for the detection defects of solar cells by photoluminescence method.