Zobrazeno 1 - 10
of 1 206
pro vyhledávání: '"Stepanyants, A."'
Sparse connectivity is a hallmark of the brain and a desired property of artificial neural networks. It promotes energy efficiency, simplifies training, and enhances the robustness of network function. Thus, a detailed understanding of how to achieve
Externí odkaz:
http://arxiv.org/abs/2409.04946
Publikováno v:
Journal of Physics A 57, 345201 (2024)
Riemann surfaces are among the simplest and most basic geometric objects. They appear as key players in many branches of physics, mathematics, and other sciences. Despite their widespread significance, how to compute distances between pairs of points
Externí odkaz:
http://arxiv.org/abs/2404.19120
Autor:
Slunyaev, A. V., Stepanyants, Y. A.
We study analytically and numerically a frequency downshifting due to power-type frequency-dependent decay of surface waves in the ocean covered by ice floes. The downshifting is obtained both within the linear model and within the nonlinear Schr\"od
Externí odkaz:
http://arxiv.org/abs/2402.01164
Publikováno v:
Computational Methods and Function Theory, 2024
Diameter is one of the most basic properties of a geometric object, while Riemann surfaces are one of the most basic geometric objects. Surprisingly, the diameter of compact Riemann surfaces is known exactly only for the sphere and the torus. For hig
Externí odkaz:
http://arxiv.org/abs/2301.10844
We consider approximate, exact, and numerical solutions to the cylindrical Korteweg-de Vries equation. We show that there are different types of solitary waves and obtain the dependence of their parameters on distance. Then, we study the interaction
Externí odkaz:
http://arxiv.org/abs/2301.06144
Publikováno v:
Phys. Rev. E 106, 054308 (2022)
The structure of a network is an unlabeled graph, yet graphs in most models of complex networks are labeled by meaningless random integers. Is the associated labeling noise always negligible, or can it overpower the network-structural signal? To addr
Externí odkaz:
http://arxiv.org/abs/2204.08508
Publikováno v:
IEEE Access, Vol 12, Pp 43721-43733 (2024)
Automated and connected vehicles are emerging in the market. Currently, solutions are being proposed to use these technologies for cooperative driving, which can significantly improve road safety. Vehicular safety applications must be tested before d
Externí odkaz:
https://doaj.org/article/a0378a22658542919736e215bafa97f3
We show that in the linear approximation there are three classes of reflectionless wave propagation on a surface of shallow water in the channel with spatially varying depth, width, and current speed. Two of these classes have been described in our p
Externí odkaz:
http://arxiv.org/abs/2201.00307
We study the nonlinear modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet of given thickness and density in a basin of a constant depth. For weakly nonlinear perturbations, we derive the nonlinear Schr\
Externí odkaz:
http://arxiv.org/abs/2112.07906
Publikováno v:
In Wave Motion July 2024 128