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math.PR2025
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 parame…
math.PR2024
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 beha…