Blog
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Spectral theory for the stability of dynamical systems on large oriented locally tree-like graphs
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The linear stability of large complex systems around their stationary points can be studied with random matrix theory. In one common model, the i.i.d. random matrix model, one assumes a simple statistical form for the interactions between distinct elements of a network.
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New experiments back Ergodicity Economics over Expected Utility Theory in modeling human decision making
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Economists thinking about anything from housing policy to climate change need to model how people make decisions, especially when facing uncertainty and risk.
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Interview with Marc Elsberg, author of the new German language novel Gier.
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Economics had its critics even before the financial crisis of a decade ago. Since then doubt has grown over how much economists really know. Much of economics rests on analyses of how individuals – as consumers, or in managing a business, for […]
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Bayesian approach for network adjustment for gravity survey campaign: methodology and model test
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Variations in the strength of gravity over the Earth’s surface reflect underlying geophysical changes such as groundwater change, surface vertical deformation, tectonic events, earthquakes and other processes. To study such processes, so-called gravity survey campaigns collect observations made repeatedly at fixed stations.
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Data Science for Social Good (DSSG) Summer Fellowship programme
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High-profile data horror stories are becoming increasingly common, from Facebook’s relationship with Cambridge Analytica to the leak of UK diplomatic cables and massive security breaches at some of the world’s biggest companies.
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Scale interactions and anisotropy in stable boundary layers
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Some of the strongest challenges for numerical weather prediction come from the unsteady nature of certain flows, in particular nocturnal and stable boundary layers.
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Condensation of degrees emerging through a first-order phase transition in classical random graphs
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When steam condenses from vapour into liquid, the water molecules move closely together and the system, from a mathematical point of view, comes to reside in an extremely small portion of the conceptually available phase space.
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Effective bandwidth of non-Markovian packet traffic
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Telecommunications engineers and operations researchers aim to manage complex and fluctuating traffic flows through extended networks. Among other techniques, they have exploited results from the theory of large deviations to estimate the likelihood that a demand in service will overflow the available […]
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Thermodynamic uncertainty for run-and-tumble type processes
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Systems out of equilibrium typically carry macroscopic currents of particles, mass or energy. Thermodynamic uncertainty relations offer universal bounds linking such currents and their statistical fluctuations to other system properties, especially entropy production.
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Comment on D. Bernoulli (1738)
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Probability theory emerged in the second half of the 17th century as a way to think about monetary gambles, and how to choose wisely when facing uncertainty. Early thinking suggested that people would act so as to maximise the expected change in […]