ArticleEntropy (Basel, Switzerland)2021
Transient Dynamics in the Random Growth and Reset Model.
Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Analogies and Relations between Non-Additive Entropy Formulas and Gintropy.Entropy (Basel, Switzerland) · 2024Article
- A master equation for power laws.Royal Society open science · 2022Article
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3 authors.
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Abstract
A mean-field type model with random growth and reset terms is considered. The stationary distributions resulting from the corresponding master equation are relatively easy to obtain; however, for practical applications one also needs to know the convergence to stationarity. The present work contributes to this direction, studying the transient dynamics in the discrete version of the model by two different approaches. The first method is based on mathematical induction by the recursive integration of the coupled differential equations for the discrete states. The second method transforms the coupled ordinary differential equation system into a partial differential equation for the generating function. We derive analytical results for some important, practically interesting cases and discuss the obtained results for the transient dynamics.
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