62 citations · 367 across the 47 of their papers we have counts for
10 papers · 1 filter
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…
Extinction threshold in spatial stochastic logistic model: Space homogeneous case
Dmitri Finkelshtein
We consider the extinction regime in the spatial stochastic logistic model in (a.k.a. Bolker--Pacala--Dieckmann--Law model of spatial populations) using the first-or…
Fecundity regulation in a spatial birth-and-death process
Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein +2
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density dependent fecundity regulation mechanism.…
Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues
Dmitri Finkelshtein, Pasha Tkachov
We study the tail asymptotic of sub-exponential probability densities on the real line. Namely, we show that the n-fold convolution of a sub-exponential probability density on the…
Towards on convolutions on configuration spaces. II. Spaces of locally finite configurations
Dmitri Finkelshtein
In the second part of the paper we consider a convolution of probability measures on spaces of locally finite configurations (subsets of a phase space) as well as their connection…