62 citations · 367 across the 47 of their papers we have counts for
53 papers
Lie structures of the group of Sheffer operators
Dmitri Finkelshtein, Eugene Lytvynov, Maria Joao Oliveira
Let be an (LB)-space over or , and let be the dual space of~. We study the set of Sheffer operators acting in polynomial…
Stochastic dynamics on evolving geometric graphs
Alexei Daletskii, Dmitri Finkelshtein
We consider an infinite locally finite system (configuration) of particles distributed over a Euclidean space . Each particle located at carries an internal paramet…
Entropies of the Poisson distribution as functions of intensity: "normal" and "anomalous" behavior
Dmitri Finkelshtein, Anatoliy Malyarenko, Yuliya Mishura +1
The paper extends the analysis of the entropies of the Poisson distribution with parameter . It demonstrates that the Tsallis and Sharma-Mittal entropies exhibit monotonic behav…
Finite difference calculus in the continuum
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite d…
Analysis on the cone of discrete Radon measures
Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling +2
We study analysis on the cone of discrete Radon measures over a locally compact Polish space . We discuss probability measures on the cone and the corresponding correlation meas…
Markov dynamics on the cone of discrete Radon measures
Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling
We start with a brief overview of the known facts about the spaces of discrete Radon measures those may be considered as generalizations of configuration spaces. Then we study thre…