Entries by Mark Buchanan

Topological Comparison Between the Stochastic and the Nearest‐Neighbor Earthquake Declustering Methods Through Network Analysis

On short timescales, earthquakes cluster in both time and space, eventually complicating the analysis of seismicity. One basic goal is to partition the earthquake catalogue into two classes of events — background events, regarded as spontaneous or independent earthquakes, and clustered events, including events triggered by other earthquakes.

The spectral density of dense random networks and the breakdown of the Wigner semicircle law of random matrix theory

The theory of random networks is useful in modelling systems of many interacting units, ranging from neurons in the brain and computers and routers in the Internet to species in an ecosystem. In this theory, a key mathematical quantity is the eigenvalue spectrum of the adjacency matrix, the entries of which reflect the connections between […]

Seminar Series: COVID-19

Along with colleagues Jorge Velasco-Hernandez and David Sanders, LML External Fellow Isaac Pérez Castillo has organised a series of seminars to be held throughout the rest of the year on topics linked to the COVID-19 pandemic.