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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 behav…
math-ph2024
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…