170 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institute of PhysicsPL32 papers
- Petersburg Nuclear Physics InstituteRU17 papers
- University of South CarolinaUS15 papers
- Clark Atlanta UniversityUS14 papers
- Institute of Chemistry, Komi Science CenterRU12 papers
- Institute of MathematicsPL10 papers
- Russian Academy of SciencesRU9 papers
- University of WrocławPL9 papers
- Jan Kochanowski UniversityPL8 papers
- Kurchatov InstituteRU8 papers
- Opole University of TechnologyPL8 papers
- Frantsevich Institute for Problems in Materials ScienceUA7 papers
41 papers · 1 filter
Tamed Feynman-Kac diffusion processes: Killing-branching intertwine
Piotr Garbaczewski, Mariusz Żaba
Relaxation to equilibrium of a drifted Brownian motion is quantified by a transition probability density function, whose main (multiplicative) entry is an inferred Feynman-Kac kern…
Killing versus branching: Unexplored facets of diffusive relaxation
P. Garbaczewski, M. Zaba
We analyze the relaxation dynamics of Feynman-Kac path integral kernel functions in terms of branching diffusion processes with killing. This sheds new light on the admissible path…
(Nonequilibrium) dynamics of diffusion processes with non-conservative drifts
P. Garbaczewski, M. Żaba
The nonequilibrium Fokker-Planck dynamics with a non-conservative drift field, in dimension , can be related with the non-Hermitian quantum mechanics in a real scalar pote…
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…
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…
Killing (absorption) versus survival in random motion
Piotr Garbaczewski
We address diffusion processes in a bounded domain, while focusing on somewhat unexplored affinities between the presence of absorbing and/or inaccessible boundaries. For the Brown…
Low-cost approximate reconstructing of heterogeneous microstructures
W. Olchawa, R. Piasecki, R. Wiśniowski +1
We propose an approximate reconstruction of random heterogeneous microstructures using the two-exponent power-law (TEPL). This rule originates from the entropic descriptor (ED) tha…
Entropic descriptor based reconstruction of three-dimensional porous microstructures using a single cross-section
D. Frączek, W. Olchawa, R. Piasecki +1
The simple entropic method to statistical reconstructing of heterogeneous three-dimensional media from a single two-dimensional image is briefly reported. We apply the entropic des…
On multi-scale percolation behaviour of the effective conductivity for the lattice model with interacting particles
R. Wiśniowski, W. Olchawa, D. Frączek +1
Recently, the effective medium approach using 2x2 basic cluster of model lattice sites to predict the conductivity of interacting droplets has been presented by Hattori et al. To m…
On multi-scale percolation behaviour of the effective conductivity for the lattice model
W. Olchawa, R. Wiśniowski, D. Frączek +1
Macroscopic properties of heterogeneous media are frequently modelled by regular lattice models, which are based on a relatively small basic cluster of lattice sites. Here, we exte…
Speeding up of microstructure reconstruction: II. Application to patterns of poly-dispersed islands
W. Olchawa, R. Piasecki
We report a fast, efficient and credible statistical reconstruction of any two-phase patterns of islands of miscellaneous shapes and poly-dispersed in sizes. In the proposed multi-…
Decomposable multiphase entropic descriptor
D. Fraczek, R. Piasecki
To quantify degree of spatial inhomogeneity for multiphase materials we adapt the entropic descriptor (ED) of a pillar model developed to greyscale images. To uncover the contribut…
Path-wise versus kinetic modeling for equilibrating non-Langevin jump-type processes
Mariusz Żaba, Piotr Garbaczewski, Vladimir Stephanovich
We discuss two independent methods of solution of a master equation whose biased jump transition rates account for long jumps of Lévy-stable type and nonetheless admit a Boltzmanni…
Thermalization of Levy flights: Path-wise picture in 2D
Mariusz Zaba, Piotr Garbaczewski
We analyze two-dimensional (2D) random systems driven by a symmetric Lévy stable noise which, under the sole influence of external (force) potentials , asymptotically set do…
Levy flights in confining environments: Random paths and their statistics
M. Zaba, P. Garbaczewski, V. Stephanovich
We analyze a specific class of random systems that are driven by a symmetric Lévy stable noise. In view of the Lévy noise sensitivity to the confining "potential landscape" where j…
Critical behaviour of a tumor growth model - Directed Percolation with a mean-field flavour
Adam Lipowski, Antonio Luis Ferreira, Jacek Wendykier
We examine the critical behaviour of a lattice model of tumor growth where supplied nutrients are correlated with the distribution of tumor cells. Our results support the previous…
Speeding up of microstructure reconstruction: I. Application to labyrinth patterns
R. Piasecki, W. Olchawa
Recently, entropic descriptors based the Monte Carlo hybrid reconstruction of the microstructure of a binary/greyscale pattern has been proposed (Piasecki 2011 Proc. R. Soc. A 467…
Levy targeting and the principle of detailed balance
Piotr Garbaczewski, Vladimir Stephanovich
We investigate confined Lévy flights under premises of the principle of detailed balance. The master equation admits a transformation to Lévy - Schrödinger semigroup dynamics (akin…
Heavy-tailed targets and (ab)normal asymptotics in diffusive motion
Piotr Garbaczewski, Vladimir Stephanovich, Dariusz Kȩdzierski
We investigate temporal behavior of probability density functions (pdfs) of paradigmatic jump-type and continuous processes that, under confining regimes, share common heavy-tailed…
Microstructure reconstruction using entropic descriptors
R. Piasecki
A multi-scale approach to the inverse reconstruction of a pattern's microstructure is reported. Instead of a correlation function, a pair of entropic descriptors (EDs) is proposed…
Lévy flights in inhomogeneous environments
Piotr Garbaczewski, Vladimir Stephanovich
We study the long time asymptotics of probability density functions (pdfs) of Lévy flights in different confining potentials. For that we use two models: Langevin - driven and (Lév…