Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Lepek, P."'
In this paper, we pose a hypothesis that the structure of communities in complex networks may result from their latent fractal properties. This hypothesis is based not only on the general observation that many real networks have multilevel organizati
Externí odkaz:
http://arxiv.org/abs/2309.11126
Autor:
Fronczak, Agata, Fronczak, Piotr, Samsel, Mateusz, Makulski, Kordian, Lepek, Michal, Mrowinski, Maciej J.
Publikováno v:
Sci. Rep. 14, 9079 (2024)
We show that fractality in complex networks arises from the geometric self-similarity of their built-in hierarchical community-like structure, which is mathematically described by the scale-invariant equation for the masses of the boxes with which we
Externí odkaz:
http://arxiv.org/abs/2306.13751
Autor:
Łepek, Michał
In a process of aggregation, a finite number of particles merge irreversibly to create growing clusters. In this work, impact of particular initial conditions: monodisperse, power-law, exponential, and inspired by condensation nuclei was tested again
Externí odkaz:
http://arxiv.org/abs/2112.14828
Publikováno v:
Reports on Mathematical Physics, Vol. 88, No. 1, p. 89-113 (2021)
For this work, we studied a finite system of discreet-size aggregating particles for two types of kernels with arbitrary parameters, a condensation (or branched-chain polymerization) kernel, $K(i,j)=(A+i)(A+j)$, and a linear combination of the consta
Externí odkaz:
http://arxiv.org/abs/2011.01721
Publikováno v:
Physica D: Nonlinear Phenomena, Volume 415, January 2021, 132756
For this paper, we studied the time evolution of a system of coagulating particles under a generalized electrorheological (ER) kernel with real power, $K\left(i,j\right) = \left( \frac{1}{i}+\frac{1}{j} \right)^\alpha$, and monodisperse initial condi
Externí odkaz:
http://arxiv.org/abs/2002.03791
Publikováno v:
Informatics in Medicine Unlocked 18 (2020) 100313
We give a short introduction to cough detection efforts that were undertaken during the last decade and we describe the solution for automatic cough detection developed for the AioCare portable spirometry system. In contrast to more popular analysis
Externí odkaz:
http://arxiv.org/abs/1903.03588
Autor:
Łepek, Michał, Fronczak, Piotr
Publikováno v:
Nonlinear Dynamics, April 2018, Volume 92, Issue 2, pp 751-761
Spatial relations between neurons in the network with time delays play a crucial role in determining dynamics of the system. During the development of the nervous system different types of neurons group together to enable specific functions of the ne
Externí odkaz:
http://arxiv.org/abs/1810.02418
Publikováno v:
Reports on Mathematical Physics, Volume 84, Issue 1, August 2019, Pages 117-130
This work outlines an exact combinatorial approach to finite coagulating systems through recursive equations and use of generating function method. In the classic approach the mean-field Smoluchowski coagulation is used. However, the assumptions of t
Externí odkaz:
http://arxiv.org/abs/1809.07239
Publikováno v:
Phys. Rev. E 99, 012104 (2019)
The time evolution of a system of coagulating particles under the product kernel and arbitrary initial conditions is studied. Using the improved Marcus-Lushnikov approach, the master equation is solved for the probability $W(Q,t)$ to find the system
Externí odkaz:
http://arxiv.org/abs/1809.04172
Publikováno v:
Viruses, Vol 15, Iss 9, p 1893 (2023)
Influenza A viruses (IAV) are still a cause of concern for public health and veterinary services worldwide. With (−) RNA-segmented genome architecture, influenza viruses are prone to reassortment and can generate a great variety of strains, some ca
Externí odkaz:
https://doaj.org/article/ff39058e50304f2db6d1abc0f3d7d925
