8 papers
The GLEAM 4-Jy (G4Jy) Sample: V. Broadband spectral analysis
Sarah V. White, Siegfried A. Gawenda, Giulia Macario +6
The G4Jy Sample consists of 1,863 of the brightest sources in the southern sky, as selected at 151 MHz using the GaLactic and Extragalactic All-sky MWA (GLEAM) survey. We supplemen…
Multidimensional fractional material derivative: measure-valued solutions and probabilistic properties
Hubert Woszczek
We analyze a nonlocal operator in space and time, called the multidimensional fractional material derivative. We derive its pointwise representation, which allows us to study its o…
Scaling limits of Lévy walks with random velocities
Hubert Woszczek, Marek A. Teuerle, Agnieszka Wyłomańska
This paper investigates Lévy walks with random velocities, extending classical models beyond constant speed assumptions. We derive scaling limits, demonstrating that diffusion depe…
Error of discretization of Caputo fractional derivative in weighted spaces
Łukasz Płociniczak, Hubert Woszczek
We establish uniform error bounds of the L1 discretization of the Caputo fractional derivative of the function from the weighted Sobolev space with weight belonging to the Mucknenh…
Cyclic fractional Gaussian noise: time and frequency domain properties
Hubert Woszczek, Agnieszka Wylomanska
This article introduces cyclic fractional Gaussian noise (cfGn), a stochastic model that integrates second-order cyclostationarity with long-range dependence property. While classi…
Asymmetric Lévy walks driven by convex combination of fractional material derivatives
Łukasz Płociniczak, Marek A. Teuerle, Hubert Woszczek
We analyze a class of linear partial differential equations that arise as deterministic descriptions of the scaling limits of Lévy walks, in which transport is driven by a convex c…
Riemann-Liouville fractional Brownian motion with random Hurst exponent
Hubert Woszczek, Agnieszka Wylomanska, Aleksei Chechkin
We examine two stochastic processes with random parameters, which in their basic versions (i.e., when the parameters are fixed) are Gaussian and display long range dependence and a…
Scaled Brownian motion with random anomalous diffusion exponent
Hubert Woszczek, Aleksei Chechkin, Agnieszka Wylomanska
The scaled Brownian motion (SBM) is regarded as one of the paradigmatic random processes, featuring the anomalous diffusion property characterized by the diffusion exponent. It is…