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arXiv · 2608.30655

Dimensionality-induced critical phase transition in stochastic Lotka-Volterra equation: From statistical averaging to systemic tipping point

Xiu-deng Zheng·Cong Li·Hui Zhang·Hui-jie Qiao·Shao-peng Wang·Yi Tao
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Abstract

By analyzing a stochastic Lotka-Volterra (LV) equation, we show that the underlying logic behind the diversity-stability debate in ecology can be framed as a dimensionality-induced critical phase transition, that is, a transition separating the regime dominated by statistical averaging and a systemic tipping point. This phase transition framework unifies the opposing ecological predictions in the diversity-stability debate and sets an intrinsic diversity ceiling for stochastic ecological communities.

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Xiu-deng Zheng, Cong Li, Hui Zhang, Hui-jie Qiao, Shao-peng Wang, Yi Tao. 2026-08-31. Dimensionality-induced critical phase transition in stochastic Lotka-Volterra equation: From statistical averaging to systemic tipping point. https://arxiv.org/abs/2608.30655

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