3 papers
math.PR2026
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…
stat.AP2026
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…
physics.bio-ph2024
Super-resolved anomalous diffusion: deciphering the joint distribution of anomalous exponent and diffusion coefficient
Yann Lanoiselée, Gianni Pagnini, Agnieszka Wyłomańska
The molecular motion in heterogeneous media displays anomalous diffusion by the mean-squared displacement . Motivated by experiments reporting pop…