Search Results
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Intermittent dynamics in complex systems driven to depletion
From earthquakes driven by continental drift to businesses altering their strategies in response to customers’ behaviour, many complex systems exhibit highly unpredictable dynamics, fluctuating episodically between periods of relative quiescence and bursts of activity.
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Using Extreme Value Theory to Characterize Chaotic Dynamics
In the analysis of dynamical systems, the correlation dimension is a useful indicator describing the fractal structure of invariant sets. Other measures, such as the Lyapunov exponents and the entropy, provide complementary information on the time scale of predictability of the system.
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Characterizing local energy transfers in atmospheric flows
Computational models employed for simulations of weather and climate have limited spatial resolution, currently around 2 km for regional weather models and 100 km for global climate models.
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Large deviation theory for diluted Wishart random matrices
Modern computing technology has brought about the era of Big Data, and a host of new challenges concerning how to analyse high-dimensional data for problems ranging from studies of climate to genetics, biomedical imaging to economics.
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Switching dynamics in atmospheric flow
The jet stream is a band of air that flows around the Earth at high-altitude, moving West to East in mid-latitude regions. This so-called “zonal” flow typically has cyclones and anticyclones embedded within it, which last for a few days.
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Understanding the microbiome… and other recent essays
Below are links to a handful of recent articles published by LML Fellow Mark Buchanan.
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Small Cities Face Greater Impact From Automation
Cities are modern society’s hubs for economic productivity and innovation, and now accommodate over half of the world’s population. As job migration is the leading factor in urbanization, policymakers are increasingly concerned about the likely impact of artificial intelligence and automation on […]
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Scaling Behaviour in Mathematical Models of Aggregation
The rings of Saturn are among the most spectacular structures in our solar system, made up of innumerable fragments of ice and rock ranging in size from metres to millimetres. The stability of the rings is a matter of some debate among […]
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Sampling the Dynamical Properties of Northern Hemisphere Atmospheric Fields Over the Past 60 Years
Solar radiation and the earth’s rotation are the primary drivers of large-scale atmospheric motions, while turbulence adds a layer of complexity at small scales. This picture is further complicated by ocean–land interactions, vegetation, anthropocentric forcing, and the hydrological cycle.
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A Novel Model to Simulate Biological Cell Migration
In recent years evidence has accumulated that single biological cells often move in a way that is unlike Brownian motion, a paradigmatic model of random dynamics. Instead, cells migrate faster and exhibit so-called superdiffusion. This article reports on a new method to […]