Zobrazeno 1 - 10
of 380
pro vyhledávání: '"Gorska K"'
We study the generalized Langevin equation approach to anomalous diffusion for a harmonic oscillator and a free particle driven by different forms of internal noises, such as power-law-correlated and distributed-order noises that fulfil generalized v
Externí odkaz:
http://arxiv.org/abs/2308.16348
Publikováno v:
J. Phys. A: Math. Theor. (2023) 56 313001, (Topical Review, 43 pages)
We provide a review of theoretical results concerning the Havriliak-Negami (HN) and the Jurlewicz-Weron-Stanislavsky (JWS) dielectric relaxation models. We derive explicit forms of functions characterizing relaxation phenomena in the time domain - th
Externí odkaz:
http://arxiv.org/abs/2307.16202
Publikováno v:
Journal of Computational and Applied Mathematics 433 (2023) 115306
The paper studies the exact solution of two kinds of generalized Fokker-Planck equations in which the integral kernels are given either by the distributed order function $k_{1}(t) = \int_{0}^{1} t^{-\mu}/\Gamma(1- \mu) d\mu$ or the distributed order
Externí odkaz:
http://arxiv.org/abs/2212.13565
Autor:
Korczynski P, Krenke R, Safianowska A, Gorska K, Abou Chaz BM, Maskey-Warzechowska M, Kondracka A, Nasilowski1 J, Chazan R
Publikováno v:
European Journal of Medical Research, Vol 14, Iss Suppl 4, Pp 128-133 (2009)
Abstract Study objective To evaluate the diagnostic value of four different tumor markers: cancer antigen 125 (CA-125), carcinoembryonic antigen (CEA), cytokeratin 19 fragment (CYFRA 21-1) and neuron specific enolase (NSE) in patients with malignant
Externí odkaz:
https://doaj.org/article/edf15b3dcd664c9c861357c407ac743a
Publikováno v:
Enumerative Combinatorics and Applications, ECA 3:2 (2023) Article #S2R15, 10 pages
We investigate the combinatorial sequences $A(M, n)$ introduced by W. G. Brown (1964) and W. T. Tutte (1980) appearing in enumeration of convex polyhedra. Their formula is $$A(M, n) = \frac{2 (2M+3)!}{(M+2)! M!}\,\frac{(4n+2M+1)!}{n! (3n + 2M + 3)!}
Externí odkaz:
http://arxiv.org/abs/2209.06574
Publikováno v:
Fractal Fract., 5 (2021) 265
Experimental data collected to provide us with information on the course of dielectric relaxation phenomena are got according to two distinct schemes: one can measure either the time decay of depolarization current or use methods of the broadband die
Externí odkaz:
http://arxiv.org/abs/2203.14786
We address the effect of stochastic resetting on diffusion and subdiffusion process. For diffusion we find that MSD relaxes to a constant only when the distribution of reset times possess finite mean and variance. In this case, the leading order cont
Externí odkaz:
http://arxiv.org/abs/2203.04046
Publikováno v:
Commun. Nonlinear Sci. Numer. Simulat., 103 (2021) 106006
The characteristic (Laplace or L\'evy) exponents uniquely characterize infinitely divisible probability distributions. Although of purely mathematical origin they appear to be uniquely associated with the memory functions present in evolution equatio
Externí odkaz:
http://arxiv.org/abs/2109.07415
Publikováno v:
In International Journal of Heat and Mass Transfer 15 June 2024 225
Autor:
Górska, K.
Publikováno v:
Phys. Rev. E 104, 024113 (2021)
We present the integral decomposition for the fundamental solution of the generalized Cattaneo equation with both time derivatives smeared through convoluting them with some memory kernels. For power-law kernels $t^{-\alpha}$, $\alpha\in(0,1]$ this e
Externí odkaz:
http://arxiv.org/abs/2107.09694