62 citations · 675 across the 109 of their papers we have counts for
11 papers · 1 filter
Random Time Dynamical Systems I: General Structures
José Luís da Silva, Yuri Kondratiev
In this paper we introduce the concept of random time changes in dynamical systems. The subordination principle may be applied to study the long time behavior of the random time sy…
One class of continuous functions related to Engel series and having complicated local properties
Oleksandr Baranovskyi, Yuri Kondratiev, Mykola Pratsiovytyi
We construct and study the class of continuous on functions with continuum set of peculiarities (singular, nowhere monotonic, and non-differentiable functions are among th…
Philosophy of Natural Numbers
Yuri Kondratiev
We discuss an extension of classical combinatorics theory to the case of spatially distributed objects.
Green Measures for Time Changed Markov Processes
José L. da Silva, Yuri Kondratiev
In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of th…
Stirling operators in spatial combinatorics
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
We define and study a spatial (infinite-dimensional) counterpart of Stirling numbers. In classical combinatorics, the Pochhammer symbol can be extended from a natural numbe…
Representations of the Infinite-Dimensional Affine Group
Yuri Kondratiev
We introduce an infinite-dimensional affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diff…