Stochastic Modeling and Analysis for Applications and Technologies

Dear Colleagues,

Stochastic models have been, are, and hopefully will be a source of inspiration for new researchers and a means of solving current problems. From the early stages of its formation, the tools of stochastic modeling and analysis have continuously expanded their fields of application. They have provided new ways of addressing old problems, offered innovative statements, and formed challenges for the best minds of our time both in a theoretical and practical context. We now have a very potent mathematical apparatus to solve a variety of applied problems. The internal resources of stochastics remains enormous, so there is no doubt that new applications will continue to arise. With new applications, new tasks and challenges will also arise. We have been observing this development of "stochastic activity" for years; for example, recall the Kalman filtration theory and linear­–Gaussian control formation. This development is essential not only for the excellent results achieved but also for the subsequent explosion of applied science and various practical applications. This spiral of achievements has often been repeated, leading to new models and results, and allowing applied science to create new technologies and intellectual products. We are still seeing wholly new and sometimes unexpected applications for stochastic models, both well-known and new ones implemented as answers to practical challenges.

And what application areas did stochastics give us? Its models have found a place in almost all modern fields—information technology and telecommunications, artificial intelligence, and even the unexpected field of e-learning, and the successful development of traditional applications for our areas, such as industry, economics, biology, chemistry, etc. Covering a wide range of stochastic modeling and analysis applications is the purpose of this Special Issue. We expect to find extraordinary applications of stochastics, for example, in artificial intelligence systems, computing networks, training projects, etc.

Given that we have cooperated with MDPI for quite a long time, we have had the opportunity to review articles for Axioms several times and, of course, get acquainted with the authors' works. The journal has proved to be one of the most potent mathematical publications. The proposal and the emphasis of our Issue on multiple applications is a recognition of the significance of applied results.

Dr. Alexey Bosov
Prof. Dr. Andrey Naumov
Guest Editors

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• stochastic modeling and applications
• stochastic analysis
• stochastic observation systems
• stochastic dynamic systems with discrete and continuous time
• filtering, forecasting, and identification of strategies based on stochastic data
• stochastic control
• stochastic methods applied to everything