Rivers under Noise
Michael Scheutzow, Michael Grinfeld

TL;DR
This paper investigates how rivers persist over time when subjected to both deterministic and random fluctuations using a first order non-autonomous differential equation model.
Contribution
It introduces a novel mathematical framework to analyze river persistence under stochastic influences, extending previous deterministic models.
Findings
Conditions for river persistence under noise are established.
Stochastic effects can either threaten or support river continuity.
The model provides insights into environmental management under uncertainty.
Abstract
We consider the deterministic and stochastic versions of a first order non-autonomous differential equation which allows us to discuss the persistence of rivers ("fleuves") under noise.
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Taxonomy
TopicsDiverse Musicological Studies
