Centrum AdMaS - VP2 - KCE
http://hdl.handle.net/11012/84139
2020-07-14T14:33:36ZA dynamical system with random parameters as a mathematical model of real phenomena
http://hdl.handle.net/11012/184671
A dynamical system with random parameters as a mathematical model of real phenomena
Diblík, Josef; Dzhalladova, Irada; Růžičková, Miroslava
In many cases, it is difcult to nd a solution to a system of difference equations with random structure in a closed form. Thus, a random process, which is the solution to such a system, can be described in another way, for example, by its moments. In this paper, we consider systems of linear difference equations whose coefcients depend on a random Markov or semi-Markov chain with jumps. The moment equations are derived for such a system when the random structure is determined by a Markov chain with jumps. As an example, three processes: Threats to security in cyberspace, radiocarbon dating, and stability of the foreign currency exchange market are modelled by systems of difference equations with random parameters that depend on a semi-Markov or Markov process. The moment equations are used to obtain the conditions under which the processes are stable.
2019-10-30T00:00:00ZThere Are No Conformal Einstein Rescalings of Pseudo-Riemannian Einstein Spaces with n Complete Light-Like Geodesics
http://hdl.handle.net/11012/184625
There Are No Conformal Einstein Rescalings of Pseudo-Riemannian Einstein Spaces with n Complete Light-Like Geodesics
Hinterleitner, Irena; Mikeš, Josef; Guseva, Nadezda
In the present paper, we study conformal mappings between a connected n-dimension
pseudo-Riemannian Einstein manifolds.
2019-09-01T00:00:00ZDetection of reinforcement in the non-traditional building structures - historical statues
http://hdl.handle.net/11012/84126
Detection of reinforcement in the non-traditional building structures - historical statues
Anton, Ondřej; Vítek, Lubomír; Heřmánková, Věra; Komárková, Tereza; Cikrle, Petr
During restoration and maintenance of historical buildings, statues and sculptures are
often neglected elements in the pre-construction condition surveys, especially in case they are not
part of the supporting structure but only an ornamental and aesthetic complement of the
architectural whole. The condition of a number of such artworks requires restoration or static
assessment from the viewpoint of safety and durability. In the case of statues made of stone,
artificial stone or concrete, an inseparable part of the pre-construction condition survey is
determining the method of their reinforcement with steel elements, which is, considering the often
complex spatial aspects of their surface, relatively complicated. The paper offers some possibilities
of its solution on three examples. The diagnostic methods were proposed based on the authors’
workplace’s long-term experience with the diagnostics of reinforced concrete structures. During the
past 10 years, about 1,000 such diagnostics have been performed. These experiences were
subsequently experimentally applied to several historical sculptures with great success.
2018-07-16T00:00:00ZStabilization of company’s income modeled by a system of discrete stochastic equations
http://hdl.handle.net/11012/137449
Stabilization of company’s income modeled by a system of discrete stochastic equations
Diblík, Josef; Dzhalladova, Irada; Růžičková, Miroslava
The paper deals with a system of difference equations where the coefficients depend on Markov chains. The functional equations for a particular density and the moment
equations for the system are derived and used in the investigation of mode stability of company-s income. An application of the results is illustrated by two models.; V práci je studován jistý systém diferenčních rovnic, koeficienty kterých závisí na Markovovských řetězcích. Jsou odvozeny funkcionální rovnice marginální hustoty a momentové rovnice, které jsou použity pro studium stability příjmů společnosti. Výsledky jsou aplikovány na dva modely.
2014-11-15T00:00:00Z