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cond-mat.stat-mech2025
Different behaviors of diffusing diffusivity dynamics based on three different definitions of fractional Brownian motion
Wei Wang, Aleksei V. Chechkin, Ralf Metzler
The effects of a "diffusing diffusivity" (DD), a stochastically time-varying diffusion coefficient, are explored within the frameworks of three different forms of fractional Browni…
cond-mat.stat-mech2025
Multifractional Brownian motion with telegraphic, stochastically varying exponent
MichaÅ Balcerek, Samudrajit Thapa, Krzysztof Burnecki +4
The diversity of diffusive systems exhibiting long-range correlations characterized by a stochastically varying Hurst exponent calls for a generic multifractional model. We present…
cond-mat.stat-mech2025
Partial versus total resetting for Lévy flights in d dimensions: similarities and discrepancies
Costantino Di Bello, Aleksei Chechkin, Tomasz Grzywny +3
While stochastic resetting (or total resetting) is less young and more established concept in stochastic processes, partial stochastic resetting (PSR) is a relatively new field. PS…