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DEVELOPMENT OF MOMENT-SEMIINVARIANT SOFTWARE FOR STOCHASTIC ANALYSIS
The article describes the methodological foundations and the results of comparative testing of scientific software for stochastic analysis of multidimensional nonlinear stochastic systems (StS) described by stochastic differential equations, developed on
Tatyana D. Konashenkova
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Methodological Tools for the Detection of Risks to the Welfare of the Individuals and the Territory of Residence [PDF]
To formalise the assessment of risks to the welfare of individuals and the territory of residence presents a relevant issue. This study aims to define the economic security in the structure of the system of the welfare of individuals and the territory ...
Aleksandr Anatolyevich Kuklin +3 more
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Existence and uniqueness of solutions for stochastic urban-population growth model
Urban-population growth model has attracted attention over the last few decades due to its usefulness in representing population dynamics, virus dynamics, and epidemics.
Lahcen Boulaasair +3 more
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The decomposition of stochastic systems
Using the deterministic framework of \textit{J. Hartmanis} and \textit{R. E. Stearns} [Algebraic structure theory of sequential machines (1966; Zbl 0154.417)] as a point of entry, the authors rely on use of an analogy to the substitution property to realize stochastic systems by the appropriate interconnection of smaller stochastic systems.
Taiho Kanaoka, Shingo Tomita
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Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]
We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +10 more
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On dissipation in stochastic systems [PDF]
We define the property of dissipativity for controlled Ito diffusions. We investigate elementary properties, and we demonstrate that the framework is useful for control problems in which both probabilistic and worst-case representations of dynamic uncertainty are present. As an example we discuss a problem involving robust /spl Hscr//sub 2/ performance
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Optimization of stochastic systems [PDF]
This paper gives a short survey of Monte Carlo algorithms for stochastic optimization. Both discrete and continuous parameter stochastic optimization are discussed, with emphasis on the analysis of convergence rate. Some future research directions for the area are also indicated.
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Parallel implementation of stochastic simulation for large-scale cellular processes [PDF]
Experimental and theoretical studies have shown the importance of stochastic processes in genetic regulatory networks and cellular processes. Cellular networks and genetic circuits often involve small numbers of key proteins such as transcriptional ...
Kevin Burrage +6 more
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How to Drive a Delayed Response, Stochastic System Close to Equilibrium [PDF]
We consider a continuous system that, in the absence of random perturbations and external forcing, is uniformly, asymptotically stable in a global sense. The system evolution is governed by a retarded differential equation.
Sjur D. Flåm
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Stochastic analysis of dimerization systems [PDF]
The process of dimerization, in which two monomers bind to each other and form a dimer, is common in nature. This process can be modeled using rate equations, from which the average copy numbers of the reacting monomers and of the product dimers can then be obtained. However, the rate equations apply only when these copy numbers are large. In the limit
Barzel, Baruch, Biham, Ofer
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