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2020-11-17ZeitschriftenartikelIntersections of loci of admissible covers with tautological classes For a finite group G, let Hg,G,ξ be the stack of admissible G-covers C → D of stable curves with ramification data ξ , g(C) = g and g(D) = g . There are source and target morphisms φ : Hg,G,ξ →Mg,r and δ : Hg,G,ξ →Mg ,b, ...
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2021-07-27ZeitschriftenartikelAssessing cyclists’ routing preferences by analyzing extensive user setting data from a bike-routing engine Introduction Many municipalities aim to support the uptake of cycling as an environmentally friendly and healthy mode of transport. It is therefore crucial to meet the demand of cyclists when adapting road ...
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2021-06-19ZeitschriftenartikelPath-integral formulation of spreading processes in complex networks We introduce a path-integral formulation of network-based measures that generalize the concept of geodesic distance and that provides fundamental insights into the dynamics of disease transmission as well as an efficient ...
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2021-06-06ZeitschriftenartikelEmulating complex networks with a single delay differential equation A single dynamical system with time-delayed feedback can emulate networks. This property of delay systems made them extremely useful tools for Machine-Learning applications. Here, we describe several possible setups, which ...
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2021-06-22ZeitschriftenartikelFokker–Planck approach to neural networks and to decision problems A unique method for stochastic models in computational and cognitive neuroscienceWe review applications of the Fokker–Planck equation for the description of systems with event trains in computational and cognitive neuroscience. The most prominent example is the spike trains generated by integrate-and-fire ...