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pro vyhledávání: '"Ryazanov AS"'
Here we give a survey of consequences from the theory of the Beltrami equations in the complex plane $\mathbb C$ to generalized Cauchy-Riemann equations $\nabla v = B \nabla u$ in the real plane $\mathbb R^2$ and clarify the relationships of the latt
Externí odkaz:
http://arxiv.org/abs/2411.08941
Publikováno v:
Minds & Machines 35, 2 (2025)
We perform a mixed-method frame semantics-based analysis on a dataset of more than 49,000 sentences collected from 5846 news articles that mention AI. The dataset covers the twelve-month period centred around the launch of OpenAI's chatbot ChatGPT an
Externí odkaz:
http://arxiv.org/abs/2408.06120
Autor:
Ryazanov, V. V.
The potential applications of boundary functionals of random processes, such as the extreme values of these processes, the moment of first reaching a fixed level, the value of the process at the moment of reaching the level, the moment of reaching ex
Externí odkaz:
http://arxiv.org/abs/2407.17934
Autor:
Ryazanov, V. V.
A simple and rapid method is proposed for assessing the reduction in the lifetime of steel walls of the reactor vessel under neutron irradiation. The method is based on modeling the number of radiation defects by the behavior of a general time-depend
Externí odkaz:
http://arxiv.org/abs/2403.02675
Autor:
Ryazanov, V. V.
The trajectories of neutrons in the reactor, the points of their fission of uranium nuclei, the points of neutron absorption, fission chains and chain reactions are considered from the standpoint of fractal geometry and percolation theory. In the stu
Externí odkaz:
http://arxiv.org/abs/2403.12989
Autor:
Ryazanov, V. V.
Based on the theory of hierarchical structures, a correspondence has been established between the dynamics for the number of neutrons obtained from the theory of branching processes, the number of neutrons of the n-th generation, the number of nodes
Externí odkaz:
http://arxiv.org/abs/2403.01462
Autor:
Ryazanov, V. V.
Neutrons in a nuclear reactor move along trajectories corresponding to Cayley trees associated with branching random processes. The probability of percolation, the appearance of such a state of the Bethe lattice in which there is at least one continu
Externí odkaz:
http://arxiv.org/abs/2402.18979
Autor:
Ryazanov, V. V.
A multifractal model of neutron evolution in a reactor is considered. For chain reactions, the dimension of the multifractal carrier, information and correlation dimensions, the entropy of the fractal set, the maximum and minimum values of the dimens
Externí odkaz:
http://arxiv.org/abs/2402.18972
Autor:
Ryazanov, V. V.
General upper bounds on fluctuations of trajectory observables were recently obtained. It turned out that the size of fluctuations of dynamical observable is limited from below and from above. For the moment generating function of general upper bound
Externí odkaz:
http://arxiv.org/abs/2401.10920
Autor:
Ryazanov, V. V.
The process of fluctuations of trajectory observables of stochastic systems is associated with processes with independent increments from the risk theory. Boundary problems are considered: first-passage times (when a certain value of the variable is
Externí odkaz:
http://arxiv.org/abs/2306.14664