2 papers
q-bio.PE2026
Percolation and clustering in ecological communities: A dynamical theory
Dario Sergo, Cédric Koller, Vittorio Erba +1
Ecological communities with structured interactions exhibit collective phenomena such as percolation and clustering of occupied sites. While these effects have been documented in e…
math.ST2025
Spectral Thresholds in Correlated Spiked Models and Fundamental Limits of Partial Least Squares
Pierre Mergny, Lenka Zdeborová
We provide a rigorous random matrix theory analysis of spiked cross-covariance models where the signals across two high-dimensional data channels are partially aligned. These model…