Showing 2026Show all
2 papers · 1 filter
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…
math.NA2026
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…