4 papers
Breakdown of random-matrix universality in persistent Lotka--Volterra communities
Joseph W. Baron, Thomas Jun Jewell, Christopher Ryder +1
The eigenvalue spectrum of a random matrix often only depends on the first and second moments of its elements, but not on the specific distribution from which they are drawn. The v…
Eigenvalues of random matrices with generalised correlations: a path integral approach
Joseph W. Baron, Thomas Jun Jewell, Christopher Ryder +1
Random matrix theory allows one to deduce the eigenvalue spectrum of a large matrix given only statistical information about its elements. Such results provide insight into what fa…
Dispersal-induced instability in complex ecosystems
Joseph W. Baron, Tobias Galla
In his seminal work in the 1970s, Robert May suggested that there is an upper limit to the number of species that can be sustained in stable equilibrium by an ecosystem. This deduc…
Geospatial distributions reflect rates of evolution of features of language
Henri Kauhanen, Deepthi Gopal, Tobias Galla +1
Quantifying the speed of linguistic change is challenging due to the fact that the historical evolution of languages is sparsely documented. Consequently, traditional methods rely…