Add to ORKGWe construct an analogue of Sierpinski gasket in Lobachevskii plane by means of iterated function system with maps from a transformation group of this space. The investigation of a new family of attractors and a Mandelbrot set associated with it reveals higher capacity of Lobachevskii geometry compared to that of Euclid
We define a Markov chain on a discrete symbolic space corresponding to the Sierpinski gasket (SG) and...
6-7In this paper the transformation group of the Lobachevsky plane in the Beltrami-Klein model that ...
The iterative procedure of removing “almost everything” from a triangle ultimately leading to the Si...
© 2017, Pleiades Publishing, Ltd. We construct an analogue of Sierpiński gasket in Lobachevskii plan...
AbstractWe prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of ...
We consider the iterated function systems (IFSs) that consist of three general similitudes in the pl...
ABSTRACT. We consider the iterated function systems (IFSs) that consist of three general similitudes...
Graphs ▫$S[n,k]$▫ are introduced as the graphs obtained from the Sierpiński graphs ▫$S(n,k)$▫ by con...
We define a new Markov chain on the symbolic space representing the Sierpinski gasket (SG), and show...
We study the extension problem on the Sierpinski Gasket (SG). In the first part we con-sider minimiz...
Analogs of Lagerr's transformations in ideal regions of a plane and three-dimensional space of Lobac...
In this thesis we study non-linear dynamical systems on complex domains. Although the systems we con...
Abstract. The construction of a Laplacian on a class of fractals which includes the Sierpinski gaske...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...
The Sierpinski triangle also known as Sierpinski gasket is one of the most interesting and the simpl...
We define a Markov chain on a discrete symbolic space corresponding to the Sierpinski gasket (SG) and...
6-7In this paper the transformation group of the Lobachevsky plane in the Beltrami-Klein model that ...
The iterative procedure of removing “almost everything” from a triangle ultimately leading to the Si...
© 2017, Pleiades Publishing, Ltd. We construct an analogue of Sierpiński gasket in Lobachevskii plan...
AbstractWe prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of ...
We consider the iterated function systems (IFSs) that consist of three general similitudes in the pl...
ABSTRACT. We consider the iterated function systems (IFSs) that consist of three general similitudes...
Graphs ▫$S[n,k]$▫ are introduced as the graphs obtained from the Sierpiński graphs ▫$S(n,k)$▫ by con...
We define a new Markov chain on the symbolic space representing the Sierpinski gasket (SG), and show...
We study the extension problem on the Sierpinski Gasket (SG). In the first part we con-sider minimiz...
Analogs of Lagerr's transformations in ideal regions of a plane and three-dimensional space of Lobac...
In this thesis we study non-linear dynamical systems on complex domains. Although the systems we con...
Abstract. The construction of a Laplacian on a class of fractals which includes the Sierpinski gaske...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...
The Sierpinski triangle also known as Sierpinski gasket is one of the most interesting and the simpl...
We define a Markov chain on a discrete symbolic space corresponding to the Sierpinski gasket (SG) and...
6-7In this paper the transformation group of the Lobachevsky plane in the Beltrami-Klein model that ...
The iterative procedure of removing “almost everything” from a triangle ultimately leading to the Si...