727 citations
- Institute of PhysicsPL31 papers
- Polish Academy of SciencesPL25 papers
- Institute of Molecular Physics of the Polish Academy of SciencesPL19 papers
- University of GdańskPL10 papers
- National Quantum Information Centre in GdanskPL8 papers
- Nicolaus Copernicus Astronomical CenterPL8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Karlsruhe Institute of TechnologyDE5 papers
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- Institut d'Astrophysique de ParisFR4 papers
- Japan Science and Technology AgencyJP4 papers
9 papers · 1 filter
Firing map of an almost periodic input function
W. Marzantowicz, J. Signerska
In mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this ma…
Roth's theorem in many variables
Tomasz Schoen, Ilya D. Shkredov
We prove, in particular, that if a subset A of {1, 2,..., N} has no nontrivial solution to the equation x_1+x_2+x_3+x_4+x_5=5y then the cardinality of A is at most N e^{-c(log N)^{…
The Stickelberger splitting map and Euler systems in the --theory of number fields
Grzegorz Banaszak, Cristian D. Popescu
For a CM abelian extension of an arbitrary totally real number field , we construct the Stickelberger splitting maps (in the sense of \cite{Ba1}) for both the étale and th…
On sumsets of convex sets
Tomasz Schoen, Ilya D. Shkredov
A set of reals A={a_1,...,a_2} is called convex if a_{i+1} - a_i > a_i - a_{i-1} for all i. We prove, in particular, that |A-A| \gg |A|^{8/5} \log{-2/5} |A|.
Two-photon dipole-dipole blockade
Khulud Almutairi, Ryszard Tanas, Zbigniew Ficek
We describe a mechanism for a controlled generation of a pure Bell state with correlated atoms that involve two or zero excitations. The mechanism inhibits transitions into singly…
Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures
T. A. Zaleski, T. P. Polak
We discuss a system of dilute Bose gas confined in a layered structure of stacked square lattices (slab geometry). A derived phase diagram reveals a non-monotonic dependence of the…