Extremes of vector-valued locally additive Gaussian fields with application to double crossing probabilities

The asymptotic analysis of high exceedance probabilities for Gaussian processes and fields has been a blooming research area since J. Pickands introduced the now-standard techniques in the late 60's. The \textit{vector-valued} processes, however, have long remained out of reach due to the lack of some key tools including Slepian's lemma, Borell-TIS and Piterbarg inequalities. In a 2020 paper by K. Debicki, E. Hashorva and L. Wang, the authors extended the double-sum method to a large class of vector-valued processes, both stationary and non-stationary. In this contribution we make one step forward, extending these results to a simple yet rich class of non-homogenous vector-valued Gaussian \textit{fields}. As an application of our findings, we present an exact asymptotic result for the probability that a real-valued process first hits a high positive barrier and then a low negative barrier within a finite time horizon

History Dependence in a Chemical Reaction Network Enables Dynamic Switching

This work describes an enzymatic autocatalytic network capable of dynamic switching under out-of-equilibrium conditions. The network, wherein a molecular fuel (trypsinogen) and an inhibitor (soybean trypsin inhibitor) compete for a catalyst (trypsin), is kept from reaching equilibria using a continuous flow stirred tank reactor. A so-called ‘linear inhibition sweep’ is developed (i.e., a molecular analogue of linear sweep voltammetry) to intentionally perturb the competition between autocatalysis and inhibition, and used to demonstrate that a simple molecular system, comprising only three components, is already capable of a variety of essential neuromorphic behaviors (hysteresis, synchronization, resonance, and adaptation). This research provides the first steps in the development of a strategy that uses the principles in systems chemistry to transform chemical reaction networks into platforms capable of neural network computing.</p

Computational and experimental study of air-core HTS transformer electrothermal behaviour at current limiting mode

The paper provides the results of the experimental and computational study of the processes occurring in high temperature superconducting transformer windings while secondary winding is short-circuited. The obtained mathematical simulation matches closely with the experimental results. The temperature variation curves for superconducting windings were analysed, and conclusions were made on the necessity of changes in HTS transformer design, namely the necessity of windings heat-insulation from each other and adding a high-resistance coating material for HTS wire in HTS transformer primary winding

The problem of orientation of the subjects of social activity in the varying world

In the article orientation is observed in the capacity of the significant phenomenon influencing activity of the subject in the modern varying world. Having the potential for deeper investigation the problem of orientation requires of appropriate investigation of directions and instruments of its analysis

FORMATION ANALYSIS OF MULTI-FREQUENCY SIGNALS OF LASER INFORMATION MEASURING SYSTEM

Improving the accuracy of measuring motion parameters and the volume of information exchange with aircraft requires the modern development of multifunctional radio systems that allow the combination of information and measuring channels due to frequency (time) signal selection. However, radio systems have limitations on the number and accuracy of the measurement of aircraft motion parameters, as well as information transfer rates. These restrictions will make it possible to remove laser systems for measuring with high accuracy the parameters of motion of aircraft. Similar laser systems are widely used in transmitting information to stationary or quasi-stationary objects. As a result, there was a need to overcome the contradiction between the requirements for the technical characteristics of radio systems and the capabilities of the existing scientific and methodological apparatus for synthesizing the signals of laser information-measuring systems for monitoring the parameters of aircraft motion. The theoretical foundations of the formation and selection of laser signals for combining the information and measuring channels of laser information-measuring systems are proposed and investigated. A comparison is made with known methods of combining (combining) the information and measuring channels of radio engineering systems and the features of using a spectrum of laser radiation formed by pairs of longitudinal modes that “color” each channel signal for their selection at reception. When receiving optical pairs of longitudinal modes, the intermode beat frequencies turn into radio engineering subcarriers that are well filtered and selectable. Based on the results of mathematical modeling and combinations of longitudinal modes, the choice of elements of a modified selector of longitudinal modes of laser information-measuring systems is substantiated. This determines the importance and usefulness of work for applied systems for measuring the parameters of movement of aircraft

Morphometric study of hippocampal neurons in chronic immobilization stress

Hippocampus ensures the implementation of the memory mechanisms, behavioral reactions, including avoidance of stress, aversive effects etc. The study was performed on the material of 20 male Wistar rats weighing 220-250 g, 10 of which were intact control group and 10 were experimental group, in which chronic immobilization stress was simulated. We determined the relative number of neurons in multiple fields of view on the total area of the pyramidal and polymorphic layers of CA1 and CA3 regions (further recalculated per 10,000 μm), larger and smaller diameters of neuron’s bodies, their perimeters and areas with diameters of nuclei and nucleoli, nuclear-cytoplasmic rati