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In 1972, Robert May triggered a worldwide research program studying ecological communities using random matrix theory.
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G. Bunin, Ecological communities with lotka-volterra dynamics, Physical Review E 95
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J. Grilli, M. Adorisio, S. Suweis, G. Barabás, J. R. Banavar, S. Allesina, and A. Maritan, Feasibility and coexistence of large ecological communities, Nature communications 8
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2018
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R. Marsland III, W. Cui, J. Goldford, A. Sanchez, K. Korolev, and P. Mehta, Available energy fluxes drive a transition in the diversity, stability, and functional structure of microbial communities, PLoS computational biology 15
2019
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A. Altieri and S. Franz, Constraint satisfaction mechanisms for marginal stability and criticality in large ecosystems, Physical Review E 99
2019
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E. Agliari, F. Alemanno, A. Barra, and A. Fachechi, On the marchenko–pastur law in analog bipartite spin-glasses, Journal of Physics A: Mathematical and Theoretical 52
2019
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F. Roy, G. Biroli, G. Bunin, and C. Cammarota, Numerical implementation of dynamical mean field theory for disordered systems: Application to the lotka–volterra model of ecosystems, Journal of Physics A: Mathematical and Theoretical 52
2019
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P. Mehta, W. Cui, C.-H. Wang, and R. Marsland III, Constrained optimization as ecological dynamics with applications to random quadratic programming in high dimensions, Physical Review E 99
2019
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I. Dalmedigos and G. Bunin, Dynamical persistence in high-diversity resource-consumer communities, PLoS computational biology 16
2020
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R. Marsland III, W. Cui, and P. Mehta, The minimum environmental perturbation principle: A new perspective on niche theory, The American Naturalist 196
2020
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A. Altieri, F. Roy, C. Cammarota, and G. Biroli, Properties of equilibria and glassy phases of the random lotka-volterra model with demographic noise, Physical Review Letters 126
2021
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