22 citations · 59 across the 6 of their papers we have counts for
9 papers
Determination of topological properties of thin samples by the van der Pauw method
Krzysztof R. Szymański, Cezary J. Walczyk, Jan L. Cieśliński
We solve the problem of determining basic topological properties of flat samples by performing measurements on their outer edge. The global maximum of four probe resistances shows…
Group interpretation of the spectral parameter. The case of isothermic surfaces
Jan L. Cieśliński, Artur Kobus
It is well known that in some cases the spectral parameter has a group interpretation. We discuss in detail the case of Gauss-Codazzi equations for isothermic surfaces immersed in…
On geometry of the scator space
Artur Kobus, Jan L. Cieśliński
We consider the scator space - a hypercomplex, non-distributive hyperbolic algebra introduced by Fernández-Guasti and Zaldívar. We discuss isometries of the scator space and find c…
Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method
Krzysztof Szymański, Kamil Łapiński, Jan L. Cieśliński +4
Six point generalization of the van der Pauw method is presented. The method is applicable for two dimensional homogeneous systems with an isolated hole. A single measurement perfo…
The sine-Gordon equation on time scales
Jan L. Cieśliński, Tomasz Nikiciuk, Kamil Waśkiewicz
We formulate and discuss integrable analogue of the sine-Gordon equation on arbitrary time scales. This unification contains the sine-Gordon equation, discrete sine-Gordon equation…
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach
Jan L. Cieśliński, Anatolij K. Prykarpatski
We investigate discretizations of the integrable discrete nonlinear Schrödinger dynamical system and related symplectic structures. We develop an effective scheme of invariant redu…
The Darboux-Bianchi-Bäcklund transformation and soliton surfaces
Jan Cieśliński
In the first part of the paper we present the dressing method which generates multi-soliton solutions to integrable systems of nonlinear partial differential equations. We compare…
Van der Pauw method on a sample with an isolated hole
Krzysztof Szymański, Jan L. Cieśliński, Kamil Łapiński
Explicit results of the van der Pauw method for a sample containing an isolated hole are presented together with experimental confirmation. Results of measurements and numerical an…
Modified van der Pauw method based on formulas solvable by the Banach fixed point method
Jan L. Cieśliński
We propose a modification of the standard van der Pauw method for determining the resistivity and Hall coefficient of flat thin samples of arbitrary shape. Considering a different…