71 citations · 494 across the 58 of their papers we have counts for
30 papers · 1 filter
Levy processes in bounded domains: Path-wise reflection scenarios and signatures of confinement
Piotr Garbaczewski, Mariusz Żaba
We discuss an impact of various (path-wise) reflection-from-the barrier scenarios upon confining properties of a paradigmatic family of symmetric -stable Lévy processes, whose p…
Superharmonic double-well systems with zero-energy ground states: Relevance for diffusive relaxation scenarios
Piotr Garbaczewski, Vladimir A. Stephanovich
Relaxation properties (specifically time-rates) of the Smoluchowski diffusion process on a line, in a confining potential , , can be spectrally quantif…
Levy flights in steep potential wells: Langevin modeling versus direct response to energy landscapes
P. Garbaczewski, M. Zaba
We investigate the non-Langevin relative of the Lévy-driven Langevin random system, under an assumption that both systems share a common (asymptotic, stationary, steady-state) targ…
Brownian motion in trapping enclosures: Steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials
Piotr Garbaczewski, Mariusz Zaba
We investigate signatures of convergence for a sequence of diffusion processes on a line, in conservative force fields stemming from superharmonic potentials , $m=2n…
Fractional Laplacians in bounded domains: Killed, reflected, censored and taboo Lévy flights
P. Garbaczewski, V. A. Stephanovich
The fractional Laplacian , has many equivalent (albeit formally different) realizations as a nonlocal generator of a family of -stable stochastic proce…
Fractional Laplacians and Levy flights in bounded domains
Piotr Garbaczewski
We address Lévy-stable stochastic processes in bounded domains, with a focus on a discrimination between inequivalent proposals for what a boundary data-respecting fractional Lapla…