Unitarity of the tree approximation to the Glauber AA amplitude for large A

The nucleus-nucleus Glauber amplitude in the tree approximation is studied for heavy participant nuclei. It is shown that, contrary to previous published results, it is not unitary for realistic values of nucleon-nucleon cross-sections.Comment: 15 pages, 1 figure, 1 table. Submitted to Yad. Fi

Unsupervised Classification of SAR Images using Hierarchical Agglomeration and EM

We implement an unsupervised classification algorithm for high resolution Synthetic Aperture Radar (SAR) images. The foundation of algorithm is based on Classification Expectation-Maximization (CEM). To get rid of two drawbacks of EM type algorithms, namely the initialization and the model order selection, we combine the CEM algorithm with the hierarchical agglomeration strategy and a model order selection criterion called Integrated Completed Likelihood (ICL). We exploit amplitude statistics in a Finite Mixture Model (FMM), and a Multinomial Logistic (MnL) latent class label model for a mixture density to obtain spatially smooth class segments. We test our algorithm on TerraSAR-X data

Translation of Krylov, M. V. 1965. The development of \u3ci\u3eNuttallia tadzhikistanica\u3c/i\u3e Krylov et Zanina, 1962 in the tick \u3ci\u3eHyalomma anatolicum\u3c/i\u3e [= Razvitie \u3ci\u3eNuttallia tadzhikistanica\u3c/i\u3e Krylov et Zanina, 1962 v kleshche \u3ci\u3eHyalomma anatolicum\u3c/i\u3e]. \u3ci\u3eActa Protozoologica\u3c/i\u3e 3: 369-382

Summary The development of Nuttallia tadzhikistanica in the larvae and nymphs of Hyalomma anatolicum was followed. In the first hours after the larvae had begun blood sucking on infected specimens of Meriones erythrourus, Nuttallia which had got into the intestire of the tick, leave erythrocytes and multiply by division into two or four individuals. Two or four hours later, mono-nuclear trophozoites occur in the haemocoel of the tick. Here their multiple division occurs. Multinucleated developmental stages of Nuttallia occur in the haemocoel during 24 hours after the larvae become detached from the host. The multinucleated stages break down into 32 trophozoites. Sometimes several tens of them arise. Multiple division may evidently be repeated several times. The multinucleated stages sometimes localize in the cytoplasm of haemocytes. In course of 24 hours after beginning of blood sucking by the larvae in the intestine of the tick, two or four nucleated Nuttallia usually occur; these are division stages. No developmental stages of Nuttallia which might be recognized as gametes or their copulation forms, were seen. After 48 hours the number of Nuttallia individuals in the larvae considerably diminishes, and after 96-120 hours only the amoeboid forms of Nuttallia which do not reproduce till the larvae molt are present. These are resting stages. They also occur in starving nymphs. The subsequent multiplication of Nuttallia in the nymph starts only then when the latter have begun blood sucking. The parasite then enters the salivary gland; here its growth takes place accompanied by multiple division of nuclei. On the fourth day, a great number of rod-shaped or pear-shaped trophozoites are formed in the salivary glands; these are invasive forms for the vertebrate host. The nymph cannot infect Meriones before the fourth day of blood sucking. An emulsion of larvae infected with Nuttallia, prepared 24-26 hours after the conclusion of blood sucking and injected into Meriones, failed to cause infection. Translation number 16, College of Veterinary Medicine, University of Illinois, Urbana, Illinois, United States (16 pages) Translation of Krylov, M. V. 1965. The development of Nuttallia tadzhikistanica Krylov et Zanina, 1962 in the tick Hyalomma anatolicum [= Razvitie Nuttallia tadzhikistanica Krylov et Zanina, 1962 v kleshche Hyalomma anatolicum]. Acta Protozoologica 3: 369-382 Translation from Russian to English by Frederick K. Plous, Jr., and edited by Norman D. Levin

MACROECONOMIC BALANCE AND NEUTRAL MONETARY POLICY

The problem of macroeconomic equilibrium as a theoretical basis for monetary policy has been considered. In this regard, the concept of long-term equilibrium and money neutrality has been criticized. The position on the non-equilibrium nature of economic development has been supported. As a result, it has been concluded that it is impossible to switch to a neutral monetary policy, and therefore to establish a neutral key rate. The interest theory of K. Wicksell, his concepts of monetary and natural interest rates has been characterized. The futility of attempts to quantify the neutral interest rate has been shown. It has been concluded that the absence of radical changes in monetary policy carries with it the risk of permanent economic stagnation

Kernel estimates for nonautonomous Kolmogorov equations with potential term

Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion coefficients and a possibly unbounded potential term

No classical limit of quantum decay for broad states

Though the classical treatment of spontaneous decay leads to an exponential decay law, it is well known that this is an approximation of the quantum mechanical result which is a non-exponential at very small and large times for narrow states. The non exponential nature at large times is however hard to establish from experiments. A method to recover the time evolution of unstable states from a parametrization of the amplitude fitted to data is presented. We apply the method to a realistic example of a very broad state, the sigma meson and reveal that an exponential decay is not a valid approximation at any time for this state. This example derived from experiment, shows the unique nature of broad resonances

A hierarchy of models related to nanoflows and surface diffusion

In last years a great interest was brought to molecular transport problems at nanoscales, such as surface diffusion or molecular flows in nano or sub-nano-channels. In a series of papers V. D. Borman, S. Y. Krylov, A. V. Prosyanov and J. J. M. Beenakker proposed to use kinetic theory in order to analyze the mechanisms that determine mobility of molecules in nanoscale channels. This approach proved to be remarkably useful to give new insight on these issues, such as density dependence of the diffusion coefficient. In this paper we revisit these works to derive the kinetic and diffusion models introduced by V. D. Borman, S. Y. Krylov, A. V. Prosyanov and J. J. M. Beenakker by using classical tools of kinetic theory such as scaling and systematic asymptotic analysis. Some results are extended to less restrictive hypothesis

Harnack Inequality and Regularity for a Product of Symmetric Stable Process and Brownian Motion

In this paper, we consider a product of a symmetric stable process in $\mathbb{R}^d$ and a one-dimensional Brownian motion in $\mathbb{R}^+$. Then we define a class of harmonic functions with respect to this product process. We show that bounded non-negative harmonic functions in the upper-half space satisfy Harnack inequality and prove that they are locally H\"older continuous. We also argue a result on Littlewood-Paley functions which are obtained by the $\alpha$-harmonic extension of an $L^p(\mathbb{R}^d)$ function.Comment: 23 page