25 citations · 59 across the 11 of their papers we have counts for
12 papers
Opinion bubbles in the quantum Buridan's ass problem
Leonid Chaichenets, Jaroslav Novotný, Igor Jex +2
The quantum Buridan's ass problem concerns a network of interconnected nodes in which transitions between the nodes are governed by the laws of quantum mechanics. In such situation…
Out of Tune: Demystifying Noise-Effects on Quantum Fourier Models
Maja Franz, Melvin Strobl, Leonid Chaichenets +3
Variational quantum algorithms have received substantial theoretical and empirical attention. As the underlying variational quantum circuit (VQC) can be represented by Fourier seri…
Complex Interpolation and the Monotonicity in the Spatial Integrability Parameter of Exponentially Weighted Modulation Spaces
Leonid Chaichenets, Jan Hausmann
We introduce the notion of common retraction and coretraction for families of Banach spaces, formulate a framework for identifying interpolation spaces, and apply it to modulation…
Higher order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result
Leonid Chaichenets, Nikolaos Pattakos
In this paper we transfer a small data global existence and scattering result by Wang and Hudzik to the more general case of modulation spaces where $q =…
On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces
Leonid Chaichenets, Nikolaos Pattakos
We prove global wellposedness of the Klein-Gordon equation with power nonlinearity , where , in dimension with initial data i…
On the global well-posedness of the quadratic NLS on
Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann +1
We study the one dimensional nonlinear Schrödinger equation with power nonlinearity for and initial data . We…
The global Cauchy problem for the NLS with higher order anisotropic dispersion
Leonid Chaichenets, Nikolaos Pattakos
We use a method developed by Strauss to obtain global wellposedness results in the mild sense for the small data Cauchy problem in modulation spaces , wher…
Knocking out teeth in one-dimensional periodic NLS
Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in one dimension with initial data in $H^{s…
Nonlinear Schrödinger equation, differentiation by parts and modulation spaces
Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in the modulation space wh…
Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces
Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann +1
We introduce a Littlewood-Paley characterization of modulation spaces and use it to give an alternative proof of the algebra property, somehow implicitly contained in Sugimoto (201…
On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space
Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1
We prove global existence for the one-dimensional cubic non-linear Schrödinger equation in modulation spaces for sufficiently close to . In contrast to known resu…
Interference and Throughput in Aloha-based Ad Hoc Networks with Isotropic Node Distribution
Ralph Tanbourgi, Holger Jäkel, Leonid Chaichenets +1
We study the interference and outage statistics in a slotted Aloha ad hoc network, where the spatial distribution of nodes is non-stationary and isotropic. In such a network, outag…