By Álvaro Corral, Anna Deluca, Francesc Font-Clos, Pilar Guerrero, Andrei Korobeinikov, Francesco Massucci
The components of this quantity characteristic prolonged convention abstracts reminiscent of chosen talks given by means of individuals on the "Joint CRM-Imperial university Workshop in complicated structures" (seventeen prolonged abstracts) and "Emergence, unfold and regulate of Infectious ailments" (six prolonged abstracts), either held on the Centre de Recerca Matem`tica in Barcelona in spring 2013. such a lot of them are short articles, containing initial shows of latest effects no longer but released in common learn journals. The articles are the results of an instantaneous collaboration among energetic researchers within the region after operating in a dynamic and effective atmosphere.
Almost every thing that's fascinating and critical for society is complicated; right here, examples scattered around the sciences are awarded with the intention to illustrate the cross-disciplinary richness of state of the art complicated structures examine: fracture avalanches and rain showers that mimic earthquakes; hugely prepared graphs that account for strategies in neural networks, metabolic networks, foodstuff webs, or language; versions for DNA dynamics; or statistical easy methods to attempt complexity within the type of constitution on many various scales. during this context, arithmetic is positioned to paintings to version the true approach, and the versions are stored at a minimal point in order to not intervene with knowing the necessities of the genuine system.
The publication is meant for proven researchers, in addition to for PhD and postdoctoral scholars who are looking to examine extra concerning the most recent advances in those hugely lively components of research.
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Additional resources for Extended Abstracts Spring 2013: Complex Systems; Control of Infectious Diseases
Sample text
But neither body size, nor longevity, nor any other magnitude studied nor combinations thereof have been found to explain this ordering satisfactorily. Hence, the meaning of this dimension has remained a mystery. We wondered if this dimension is needed to explain the network features for which it was originally invoked, and if the ordering that maximises intervality necessarily reflect some natural hierarchy among species. We propose a model (Preferential Preying Model) in which species are added sequentially to the network and prey are selected according to a pure topological property—their trophic level—in order to study the intervality of ecosystems.
1 Plot of stationary state value of infected nodes density is for complete graphs versus contamination probability z: simulation (blue dots) and theoretical result (3) (green line). 002 Acknowledgements It is a pleasure to thank D. Kwietniak and P. de los Ríos for fruitful discussions. References 1. M. M. May, Infectious Diseases of Humans. Dynamics and Control (Oxford University Press, Oxford/New York, 1992) 2. A. Barrat, M. Barthlemy, A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge/New York, 2008) 3.
2 Right: Power spectrum of fluctuations in up- and down-states for average membrane potential v. A marked peak appears for the up-state (green curves) near 1:5 Hz. Instead, there is no track of similar peaks for down states (blue curves). Observe the excellent agreement between simulation results (noisy curves) and analytical results (black dashed lines). The inset represents double-logarithmic plots of the same quantities as in the main plots. Left: deterministic trajectories for the model using different initial conditions.