707 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- AGH University of KrakowPL483 papers
- Centre National de la Recherche ScientifiqueFR85 papers
- Institute of PhysicsPL75 papers
- Polish Academy of SciencesPL72 papers
- University of Tennessee at KnoxvilleUS57 papers
- University of WrocławPL57 papers
- Institute of MathematicsPL51 papers
- Jožef Stefan InstituteSI49 papers
- University of WarsawPL45 papers
- University of LjubljanaSI39 papers
- University of MünsterDE36 papers
- Max Planck Institute for the Physics of Complex SystemsDE34 papers
56 papers · 1 filter
Comment on "Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Lévy processes" [J. Math. Phys. 53, 072701 (2012)]
Marcin Magdziarz, Tomasz Zorawik
In an article [J. Math. Phys. 53, 072701 (2012)] X. Sun and J. Duan presented Fokker-Planck equations for nonlinear stochastic differential equations with non-Gaussian Lévy process…
Wilder continua and their subfamilies as coanalytic absorbers
Konrad Królicki, Paweł Krupski
The family of Wilder continua in cubes of dimension > 2 and its two subfamilies-of continuum-wise Wilder continua and of hereditarily arcwise connected continua-are recognized as c…
Analysis of the high dimensional naming game with committed minorities
William Pickering, Boleslaw K. Szymanski, Chjan Lim
The naming game has become an archetype for linguistic evolution and mathematical social behavioral analysis. In the model presented here, there are individuals and words.…
Estimates of Dirichlet heat kernel for symmetric Markov processes
Tomasz Grzywny, Kyung-Youn Kim, Panki Kim
We consider a large class of symmetric pure jump Markov processes dominated by isotropic unimodal Lévy processes with weak scaling conditions. First, we establish sharp two-sided h…
Phonon-mediated generation of quantum correlations between quantum dot qubits
Jan Krzywda, Katarzyna Roszak
We study the generation of quantum correlations between two excitonic quantum dot qubits due to their interaction with the same phonon environment. Such generation results from the…
Multi-domain electromagnetic absorption of triangular quantum rings
Anna Sitek, Gunnar Thorgilsson, Vidar Gudmundsson +1
We present a theoretical study of the unielectronic energy spectra, electron localization, and optical absorption of triangular core-shell quantum rings. We show how these properti…
Vapor-liquid equilibrium (VLE) properties versus critical exponent theory - on new approximate mathematical approach to determine the critical exponent value of the vapor-liquid coexistence curve
Beata Staśkiewicz, Robert Stańczy
A novel mathematical rigorous method to obtain the vapor-liquid equilibrium curves near the critical point has been proposed covering the cases of well-known and commonly used equa…
Explicit Densities of Multidimensional Lévy Walks
Marcin Magdziarz, Tomasz Zorawik
We provide explicit formulas for asymptotic densities of the 2- and 3-dimensional ballistic Lévy walks. It turns out that in the 3D case the densities are given by elementary funct…
Coulomb mediated hybridization of excitons in artificial molecules
P. -L. Ardelt, K. Gawarecki, K. Müller +11
We report the Coulomb mediated hybridization of excitonic states in an optically active, artificial quantum dot molecule. By probing the optical response of the artificial molecule…
Fractional Laplace operator and Meijer G-function
Bartłomiej Dyda, Alexey Kuznetsov, Mateusz Kwaśnicki
We significantly expand the number of functions whose image under the fractional Laplace operator can be computed explicitly. In particular, we show that the fractional Laplace ope…
Stochastic Optimal Growth Model with Risk Sensitive Preferences
Nicole Bäuerle, Anna Jaśkiewicz
This paper studies a one-sector optimal growth model with i.i.d. productivity shocks that are allowed to be unbounded. The utility function is assumed to be non-negative and unboun…
Orbital Magnetization of Quantum Spin Hall Insulator Nanoparticles
P. Potasz, J. Fernandez-Rossier
Both spin and orbital degrees of freedom contribute to the magnetic moment of isolated atoms. However, when inserted in crystals, atomic orbital moments are quenched because of the…
Eigenvalues of the fractional Laplace operator in the unit ball
Bartłomiej Dyda, Alexey Kuznetsov, Mateusz Kwaśnicki
We describe a highly efficient numerical scheme for finding two-sided bounds for the eigenvalues of the fractional Laplace operator (-Delta)^{alpha/2} in the unit ball D in R^d, wi…
Regularity estimates for elliptic nonlocal operators
Bartlomiej Dyda, Moritz Kassmann
We study weak solutions to nonlocal equations governed by integrodifferential operators. Solutions are defined with the help of symmetric nonlocal bilinear forms. Throughout this w…
Driving large-velocity propagation of ferromagnetic pi/2 domain walls in nanostripes of cubic-anisotropy materials
Andrzej Janutka, Przemyslaw Gawronski, Pawel S Ruszala
We study the externally-driven motion of the domain walls (DWs)of the pi/2 type in (in-the-plane ordered) nanostripes of the crystalline cubic anisotropy. Such DWs are much narrowe…
On the Displacement for Covering a dimensional Cube with Randomly Placed Sensors
Rafal Kapelko, Evangelos Kranakis
Consider sensors placed randomly and independently with the uniform distribution in a dimensional unit cube (). The sensors have identical sensing range equal to $r…
A note about the torsion of null curves in the -dimensional Minkowski spacetime and the Schwarzian derivative
Zbigniew Olszak
The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appea…
Fractional Chern Insulator phase at the transition between checkerboard and Lieb lattice
Błażej Jaworowski, Paweł Potasz, Andrei Manolescu
The stability of Fractional Chern Insulator (FCI) phase is analysed on the example of checkerboard lattice undergoing a transition into Lieb lattice. The transition is perf…
Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
Ajit C. Balram, Csaba Tőke, A. Wójs +1
The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than prev…
Light mediated emergence of surface patterns in azopolymers at low temperatures
V. Teboul, R. Barille, P. Tajalli +4
Polymer thin films doped with azobenzene molecules do have the ability to organize themselves in spontaneous surface relief gratings (SRG) under irradiation with a single polarized…
Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval
Kamil Kaleta, Mateusz Kwaśnicki, Jacek Małecki
We prove a two-term Weyl-type asymptotic law, with error term O(1/n), for the eigenvalues of the operator psi(-Delta) in an interval, with zero exterior condition, for complete Ber…
Oscillating hysteresis in the q-neighbor Ising model
Arkadiusz Jȩdrzejewski, Anna Chmiel, Katarzyna Sznajd-Weron
We modify the kinetic Ising model with Metropolis dynamics, allowing each spin to interact only with spins randomly chosen from the whole system, which corresponds to the topol…
On the Displacement for Covering a Unit Interval with Randomly Placed Sensors
Rafał Kapelko, Evangelos Kranakis
Consider mobile sensors placed independently at random with the uniform distribution on a barrier represented as the unit line segment . The sensors have identical sensi…
Spatial birth-and-death processes with a finite number of particles
Viktor Bezborodov, Luca Di Persio
Spatial birth-and-death processes with time dependent rates are obtained as solutions to certain stochastic equations. The existence, uniqueness, uniqueness in law and the strong M…