Month: July 2018
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Studying language evolution in the age of big data
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The availability of large digital corpora of cross-linguistic data is revolutionizing many branches of linguistics, triggering a shift of study from detailed questions about individual features to more global patterns amenable to statistical analyses.
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Phase transition, scaling of moments, and order-parameter distributions in Brownian particles and branching processes with finite-size effects
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Random walks provide precise mathematical models for diffusion processes, while rooted trees offer a geometric representation of branching processes. Both are of broad importance in probability theory and statistical physics, and some important mathematical results establish links between the two.
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Predicting chaos with an optimal combination of data and prior knowledge
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Early in the 20th century, experts tried to forecast the weather by noting current conditions, patterns of winds, temperatures and air pressures, and looking into historical records to find previous moments when similar conditions prevailed. Looking a few days forward in the […]
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Synchronisation and Extreme Value Theory for Coupled Map Lattices
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Coupled Map Lattices (CML) are discrete time and space dynamical systems often used as simplified models for the study of spatially-extended non-linear systems.