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The Stochastic Processes Generation in OpenModelica
P. 538-552.
Gostev I. M., Gevorkyan M., Hnatich M., Demidova A., Kulyabov D., Korolkova A., Sevastianov L.
This paper studies program implementation problem of pseudo-random number generators in OpenModelica. We give an overview of generators of pseudo-random uniform distributed numbers. They are used as a basis for construction of generators of normal and Poisson distributions. The last step is the creation of Wiener and Poisson stochastic processes generators. We also describe the algorithm to call external C-functions from programs written in Modelica. This allows us to use random number generators implemented in the C language.
In book
Vol. 678. , Wien : Springer, 2016
Belomestny D., Häfner S., Urusov M., , in : Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov. : Heidelberg : Springer, 2017. P. 131-178.
In this paper we present a novel approach towards variance reduction for discretised diffusion processes. The proposed approach involves specially constructed control variates and allows for a significant reduction in the variance for the terminal functionals. In this way the complexity order of the standard Monte Carlo algorithm (ε−3) can be reduced down to ε−2 ...
Added: January 30, 2018
Institute of Electrical and Electronics Engineers, 2020
This paper considers a dynamic ventilation system of the underground mining. The research is relevant from the point of view of safety and energy saving of mining operations, since the process of ventilation of underground mining companies consumes from 30 to 50% of all company electricity. Existing methods of ventilation control often do not ensure ...
Added: June 10, 2020
Los A., Belov A. V., , in : 2021 XVII International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY). : IEEE, 2021. P. 80-84.
Added: December 21, 2021
Vaysman Y. I., Surkov A. A., Surkova Y. I. et al., , in : IOP Conference Series: Earth and Environmental Science, Vol. 317. Vol. 317: International Conference on Sustainability and Climate Change 17 May 2019, Moscow, Russian Federation.: Institute of Physics Publishing (IOP), 2019. P. 1-9.
The paper is devoted to the development of a methodology to evaluate the possible locations of wind generators using GIS technologies for the climatic conditions of the Western Urals. A model of the wind generator operation in the electrical network using the OpenModelica simulation environment has been built. Recommendations on the use of a wind ...
Added: June 11, 2020
Nazin A. V., Anulova S. V., Tremba A. A., Automation and Remote Control 2014 Vol. 75 No. 6 P. 1010-1016
A problem of minimization of integral losses on given horizon is considered for stochastic system in continuous time. The losses occur in jump times of a Poisson process, and represent continuous convex function of control parameter on convex compact finite-dimensional set. At the jump times an oracle provide stochastically perturbed sub-gradient of the loss function, ...
Added: October 23, 2015
Konakov V., Markova A., Automation and Remote Control 2017 Vol. 78 No. 8 P. 1438-1448
We consider the diffusion process and its approximation by Markov chain with nonlinear unbounded trends. The usual parametrix method is not applicable because these models have unbounded trends. We describe a procedure that allows to exclude nonlinear unbounded trend and move to stochastic differential equation with bounded drift and diffusion coefficients. A similar procedure is ...
Added: August 28, 2017
Chaudru de Raynal P., Menozzi S., / Cornell University. Series arXiv "math". 2019.
We establish well-posedness results for multidimensional non degenerate α-stable driven SDEs with time inhomogeneous singular drifts in Lr−B−1+γp,q with γ<1 and α in (1,2], where Lr and B−1+γp,q stand for Lebesgue and Besov spaces respectively. Precisely, we first prove the well-posedness of the corresponding martingale problem and then give a precise meaning to the dynamics of the SDE. Our results rely on the smoothing properties of the ...
Added: October 31, 2020
Bogachev V., Providence : American Mathematical Society, 1998
This book presents a systematic exposition of the modern theory of Gaussian measures. The basic properties of finite and infinite dimensional Gaussian distributions, including their linear and nonlinear transformations, are discussed. The book is intended for graduate students and researchers in probability theory, mathematical statistics, functional analysis, and mathematical physics. It contains a lot of ...
Added: March 10, 2014
Veretennikov A., Da Prato G., Flandoli F. et al., / Cornell University. Series cond-mat "arxiv.org". 2014. No. arXiv:1404.5418.
We prove pathwise uniqueness for a class of stochastic differential equations (SDE) on a Hilbert space with cylindrical Wiener noise, whose non-linear drift parts are sums of the subdifferential of a convex function and a bounded part. This generalizes a classical result by one of the authors (Veretennikov) to infinite dimensions. ...
Added: October 22, 2014
Kychkin A., Nikolaev A. V., , in : 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM). : Institute of Electrical and Electronics Engineers, 2020. P. 1-5.
This paper considers a dynamic ventilation system of the underground mining. The research is relevant from the point of view of safety and energy saving of mining operations, since the process of ventilation of underground mining companies consumes from 30 to 50% of all company electricity. Existing methods of ventilation control often do not ensure ...
Added: June 10, 2020
Kosarevskaya E., Journal of Mathematical Sciences 2016 Vol. 214 No. 4 P. 493-512
A generalization of a service system model introduced by I. Kaj and M. Taqqu is considered. Unlike the original model, the unnatural assumption on independence between the duration and required resources quantity of a service process is dropped. A number of limit theorems for the process of integral workload is presented. Among the considered limit ...
Added: April 21, 2021
Aleskerov F. T., Egorova L. G., Экономический журнал Высшей школы экономики 2010 Т. 14 № 4 С. 492-506
Analyzing the reasons of financial crises in the book «The Black Swan» N.N. Taleb concludes that modern economic models badly describe reality for they are not able to forecast such crises in advance. We tried to present processes on stock exchange as two random processes one of which happens rather often (regular regime) and the ...
Added: October 13, 2012
Aleskerov F. T., Egorova L. G., Economics Letters 2012 Vol. 117 No. 3 P. 563-565
We present processes on stock exchange as two random processes one of which reflects the regular regime of economy and the other one–crises. If regular processes are correctly recognized with the probability slightly higher than 1/2, this gives positive average gain to the player. We believe that this very phenomenon lies on the basis of ...
Added: October 15, 2012
Kychkin A., Gorshkov O., Селиванов В. А. et al., Прикладная информатика 2021 Т. 16 № 5 С. 33-47
The development of application software for cyber-physical systems of buildings involves the widespread use of Internet of Things (IoT) integration platforms. In practice, the flexible functionality of IoT platforms often leads to additional costs for software enhancement of existing and connection of new units, in particular digital twins. The paper proposes a technological solution for ...
Added: October 30, 2021