p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects

Borodina A., Lukashenko O., Morozov E.

We study the special reliability model where preventive repair is used to prevent an instantaneous failure. The dynamic of the system is expressed in terms of the heterogeneous degradation process with successive stages, which are independent but not identically distributed. The calculating of the performance characteristics of such a systems is an important and typically challenging problem. In this paper, we focus on estimating the rare-event failure probability which is usually not analytically available. In order to evaluate the target measure, we apply a variance reduction technique using a special variant of conditional Monte Carlo approach proposed by Asmussen and Kroese in [1]. The relative error of the proposed method is studied numerically. A few numerical results are presented to justify that proposed technique provides comparatively good properties of the relative error when the failure probability become small.

Ateya A.A., Khayyat M., Muthanna A., Koucheryavy A.

Leads with the recent progress and development in the field of robotics and haptic devices, Tactile Internet became the next communication wave after the internet of things (IoT). Far from the traditional Internet in which audio and visual senses can be transferred, Tactile Internet is a new communication paradigm that supports the haptic communications in real time and provides a new way for the human-to-machine (H2M) communication. There are many challenges associated with the Tactile Internet, however the 1ms end-to-end latency remains the most considerable.In this work, we provide a better understanding of the Tactile Internet system, by defining the main system parameters, components, design requirements and design challenges of the system. We provide the recent progress for realizing Tactile Internet and the main work introduced to provide appropriate solutions for the design issues. A vision of the Tactile Internet system realization and system applications is introduced. Moreover; we investigate the market reflection on Tactile Internet development and realization and a time plan based on the market progress and the academic research is set, to predict away for the Tactile Internet.

Vikulov A., Paramonov A.

By the end of second decade of XXI century different wireless technologies typically coexist in the same geometrical space and share the same unlicensed frequency bands. Although the interference of Wi-Fi and 3G networks is quite well known by the present time, the wireless engineers still lack good estimation methods of such an impact. Here we give a view on the mask of the UMTS 2100 signal, provide practical measurements, propose a model of its attenuation in order to provide the average signal strength level value. Finally this article provides numerical estimation for signal to noise degradation in order to evaluate the interference effect.