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arXiv · 2512.07764

Selection mechanisms in front invasion

Montie Avery·Matt Holzer·Arnd Scheel
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Abstract

We review progress on questions related to front propagation into unstable states and point out open problems in the area. We strive to highlight different theoretical perspectives and challenges while also addressing more practical questions with examples and guides to computational methods. Throughout we take a dynamical systems point of view that focuses on the ability of invasion processes to act as a selection mechanism in complex systems.

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Montie Avery, Matt Holzer, Arnd Scheel. 2025-12-08. Selection mechanisms in front invasion. https://arxiv.org/abs/2512.07764

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