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Financial Instruments Generation via Tokenization into Commodity

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Financial Instruments Generation via Tokenization into Commo...

Blockchain, Robotics and AI for Networking Security Conference (BRAINS)

作者： Vyacheslav Davydov Yury Yanovich Moscow Institute of Electronics and Mathematics National Research University Higher School of Economics 123458 Moscow Russia Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology (Skoltech) 121205 Moscow Russia Laboratory of Data Mining and Predictive Modeling Institute for Information Transmission Problems (IITP RAS) 127051 Moscow Russia

ISBN: (数字)9781728170916

ISBN: (纸本)9781728170923

The diversification is a classic approach to reduce investor risks. Blockchain and smart contracts allow tokenizing heterogeneous assets into a commodity and open a new tool for it. The authors describe how to apply the approach to the various finance cases from peer-to-peer lending to real estate and leases, and theoretically estimate minimum token package size to ensure the given reliability parameter.

关键词： commodities LEASING REAL PROPERTY diversification packet size lease token peer to peer EQUIPMENT contract

New bounds and generalizations of locally recoverable codes with availability

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New bounds and generalizations of locally recoverable codes ...

作者： Kruglik, Stanislav Nazirkhanova, Kamilla Frolov, Alexey Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Moscow121205 Russia Department of Radio Engineering and Cybernetics Moscow Institute of Physics and Technology Moscow141701 Russia

We investigate the distance properties of linear locally recoverable codes (LRC codes) with all-symbol locality and availability. New upper and lower bounds on the minimum distance of such codes are derived. The upper bound is based on the shortening method and generalized Hamming weights that are fundamental parameters of any linear codes with many useful applications. This bound improves existing upper bounds. To reduce the gap in between upper and lower bounds, we do not restrict the alphabet size and propose explicit constructions of codes with locality and availability via rank-metric codes. The first construction relies on expander graphs and is better in low rate region. The second construction utilizes the LRC codes developed by Wang et al. as inner codes and is better in high rate region. We also suggest one possible generalization of LRC codes in which the recovering sets can intersect in a small number of coordinates. This feature allows us to increase the achievable code rate and still meet load balancing requirements. We derive upper and lower bounds on the parameters of such codes and present explicit constructions of codes with such a property. © 1963-2012 IEEE.

关键词： Fault tolerance

Estimation of the Second Moment Based on Rounded data

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Journal of Mathematical sciences (United States) 2019年第6期237卷 819-825页

作者： Samsonov, S.V. Ushakov, N.G. Ushakov, V.G. Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Moscow Russian Federation Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim Norway Moscow State University Moscow Russian Federation

Sample moments are unbiased estimators of theoretical moments (if the latter exist). In practice, however, observations are rounded under registration, which leads to systematic errors. In [1–3] it was shown that random measurement errors can provide the reduction of rounding errors, when the expectation is estimated by the first sample moment. This gives a possibility to manage the rounding error of the result, if one can add some noise to observations before registration. Moreover, this error can be made arbitrarily small. Now we find conditions under which this takes place for the second moment. © 2019, Springer science+Business Media, LLC, part of Springer Nature.

关键词： Estimators Registration second moment Noise Systematic errors Error measure Moment of force Rounding error Tea random measurement

Intense harmonics with time-varying orbital angular momentum from relativistic plasma mirrors

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arXiv 2021年

作者： Wang, Jingwei Zepf, Matt Leng, Yuxin Li, Ruxin Rykovanov, Sergey G. Shanghai 201800 China Collaborative Innovation Center of IFSA Shanghai Jiao Tong University Shanghai 200240 China Helmholtz Institute Jena Fröbelstieg 3 Jena07743 Germany Faculty of Physics and Astronomy Friedrich-Schiller-Universität Jena Jena07743 Germany High Performance Computing and Big Data Laboratory Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Moscow121205 Russia

In this Letter using three-dimensional particle-in-cell simulations and analytical considerations we demonstrate intense high-order plasma surface harmonics carrying a time-varying orbital angular momentum (OAM) - the self-torque. We show that by using two laser beams with different OAMs l1 and l2 and a certain delay between each other and shooting them obliquely on an overdense plasma target, one can generate harmonics with OAM spanning nl1 to nl2, where n is the order of the harmonic. Such intense self-torqued harmonics can offer new possibilities in ultrafast spectroscopy. © 2021, CC BY.

关键词： Harmonic analysis

Relativistic modified Bessel-Gaussian beam generated from plasma-based beam braiding

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Physical Review A 2021年第2期104卷 L021501-L021501页

作者： Bifeng Lei Daniel Seipt Mingyuan Shi Bin Liu Jingwei Wang Matt Zepf Sergey G. Rykovanov Helmholtz Institute Jena Fröbelstieg 3 07743 Jena Germany GSI Helmholtzzentrum für Schwerionenforschung GmbH Planckstrasse 1 64291 Darmstadt Germany Faculty of Physics and Astronomy Friedrich-Schiller-Universität Jena 07743 Jena Germany Shanghai Institute of Optics and Fine Mechanics Chinese Academy of Sciences 201800 Shanghai China Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Moscow 121205 Russia

We theoretically and numerically demonstrate the generation of a relativistic modified Bessel-Gaussian beam (MBGB) via plasma-based beam braiding. It is realized by injecting several intense Gaussian pulses with well-designed offsets and angles into an underdense plasma channel which acts as a laser-pulse combiner via refractive coupling. The MBGB propagates stably in the plasma channel with a well-controlled orbital angular momentum of large value, exciting a twisted plasma wave. After leaving the plasma, it becomes unguided and survives in vacuum for at least hundreds of femtoseconds. This method is insensitive to the initial laser injection conditions and thus should be robust for experimental implementation. It provides an alternative approach in generating high-quality tunable intense optical vortex beams which are desired for various applications.

关键词： Laser driven electron acceleration Laser wakefield acceleration Laser-plasma interactions Plasma acceleration & new acceleration techniques

Complex diffusion-based kinetics of photoluminescence in semiconductor nanoplatelets

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arXiv 2021年

作者： Kurilovich, Aleksandr A. Mantsevich, Vladimir N. Stevenson, Keith J. Chechkin, Aleksei V. Palyulin, Vladimir V. Center for Energy Science and Technology Skolkovo Institute of Science and Technology Moscow121205 Russia Semiconductors and Cryoelectronics & Quantum Technology Center Physics department Lomonosov Moscow State University Moscow119991 Russia Institute for Physics & Astronomy University of Potsdam Potsdam-GolmD-14476 Germany Akhiezer Institute for Theoretical Physics National Science Center Kharkov Institute of Physics and Technology Kharkov61108 Ukraine Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Moscow121205 Russia

We present a diffusion-based simulation and theoretical models for explanation of photoluminescence (PL) emission intensity in semiconductor nanoplatelets. It is shown that the shape of PL intensity curves can be reproduced by the interplay of recombination, diffusion and trapping of excitons. The emission intensity at short times is purely exponential and is defined by recombination. At long times it is governed by the release of excitons from surface traps and is characterized by a power-law tail. We show that the crossover from one limit to another is controlled by diffusion properties. This intermediate region exhibits a rich behaviour depending on the value of diffusivity. Proposed approach reproduces all the features of experimental curves measured for different nanoplatelet systems. Copyright © 2021, The Authors. All rights reserved.

关键词： Diffusion

Coding with noiseless feedback over the Z-channel

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arXiv 2020年

作者： Deppe, Christian Lebedev, Vladimir Maringer, Georg Polyanskii, Nikita The Institute for Communications Engineering Technical University of Munich Germany The Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Russia The Institute for Information Transmission Problems Russian Academy of Sciences Russia

In this paper, we consider encoding strategies for the Z-channel with noiseless feedback. We analyze the combinatorial setting where the maximum number of errors inflicted by an adversary is proportional to the number of transmissions, which goes to infinity. Without feedback, it is known that the rate of optimal asymmetric-error-correcting codes for the error fraction τ ≥ 1/4 vanishes as the blocklength grows. In this paper, we give an efficient feedback encoding scheme with n transmissions that achieves a positive rate for any fraction of errors τ Copyright © 2020, The Authors. All rights reserved.

关键词： Signal encoding

Optimal multistage group testing algorithm for 3 defectives

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arXiv 2020年

作者： Vorobyev, Ilya Center for Computational and Data-Intensive Science and Engineering Skolkovo Institute of Science and Technology Moscow127051 Russia Advanced Combinatorics and Complex Networks Lab Moscow Institute of Physics and Technology Dolgoprudny141701 Russia

Group testing is a well-known search problem that consists in detecting of s defective members of a set of t samples by carrying out tests on properly chosen subsets of samples. In classical group testing the goal is to find all defective elements by using the minimal possible number of tests in the worst case. In this work, a multistage group testing problem is considered. Our goal is to construct a multistage search procedure, having asymptotically the same number of tests as an adaptive one. We propose a new approach to designing multistage algorithms, which allows us to construct a 5-stage algorithm for finding 3 defectives with the optimal number 3 log2 t(1 + o(1)) of *** Codes 68R05 Copyright © 2020, The Authors. All rights reserved.

关键词： Well testing

An adaptive algorithm for quantum circuit simulation

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arXiv 2019年

作者： Schutski, Roman Oseledets, Ivan Lykov, Danil Center for Computational and Data-Intensive Science and Engineering Skoltech Skolkovo Innovation Center Moscow Region121205 Moscow Institute of Physics and Technology Dolgoprudny Moscow Region141701

Efficient simulation of quantum computers is essential for the development and validation of near-term quantum devices and the research on quantum algorithms. Up to date, two main approaches to simulation were in use, based on either full state or single amplitude evaluation. We propose an algorithm that efficiently interpolates between these two possibilities. Our approach elucidates the connection between quantum circuit simulation and partial evaluation of expressions in tensor algebra. Copyright © 2019, The Authors. All rights reserved.

关键词： Circuit simulation