The feasibility and stability of large complex biological networks: a random matrix approach

Feasibility and coexistence of large ecological communities

(2017) Jacopo Grilli et al.   Nature Communications

Characterizing Species Interactions to Understand Press Perturbations: What Is the Community Matrix?

(2016) Mark Novak et al.   Annual Review of Ecology Evolution and Systematics

Resilience, reactivity and variability: A mathematical comparison of ecological stability measures

(2016) J-F. Arnoldi et al.   JOURNAL OF THEORETICAL BIOLOGY

The Google matrix controls the stability of structured ecological and biological networks

(2016) Lewi Stone   Nature Communications

Transition to Chaos in Random Networks with Cell-Type-Specific Connectivity

(2015) Johnatan Aljadeff et al.   PHYSICAL REVIEW LETTERS

The ecology of the microbiome: Networks, competition, and stability

(2015) K. Z. Coyte et al.   SCIENCE

Predicting the stability of large structured food webs

(2015) Stefano Allesina et al.   Nature Communications

Stability criteria for complex ecosystems

(2012) Stefano Allesina et al.   NATURE

Diversity of Interaction Types and Ecological Community Stability

(2012) A. Mougi et al.   SCIENCE

Systemic risk in banking ecosystems

(2011) Andrew G. Haldane et al.   NATURE

Outliers in the spectrum of iid matrices with bounded rank perturbations

(2011) Terence Tao   PROBABILITY THEORY AND RELATED FIELDS

The circular law for random matrices

(2010) Friedrich Götze et al.   ANNALS OF PROBABILITY

Stability of Ecological Communities and the Architecture of Mutualistic and Trophic Networks

(2010) E. Thebault et al.   SCIENCE

The architecture of mutualistic networks minimizes competition and increases biodiversity

(2009) Ugo Bastolla et al.   NATURE