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39 papers · 1 filter
Faà di Bruno's note on eponymous formula, trilingual version
Julyan Arbel
About 160 years ago, the Italian mathematician Faà di Bruno published two notes dealing about the now eponymous formula giving the derivative of any order of a composition of two f…
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
Camille Pouchol, Jean Clairambault, Alexander Lorz +1
We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic…
Socioeconomic correlations and stratification in social-communication networks
Yannick Leo, Eric Fleury, J. Ignacio Alvarez-Hamelin +2
The uneven distribution of wealth and individual economic capacities are among the main forces which shape modern societies and arguably bias the emerging social structures. Howeve…
Generating higher order quantum dissipation from lower order parametric processes
S. O. Mundhada, A. Grimm, S. Touzard +4
Stabilization of quantum manifolds is at the heart of error-protected quantum information storage and manipulation. Nonlinear driven-dissipative processes achieve such stabilizatio…
Dissecting demand response mechanisms: the role of consumption forecasts and personalized offers
Alberto Benegiamo, Patrick Loiseau, Giovanni Neglia
Demand-Response (DR) programs, whereby users of an electricity network are encouraged by economic incentives to rearrange their consumption in order to reduce production costs, are…
On Mixing in Pairwise Markov Random Fields with Application to Social Networks
Konstantin Avrachenkov, Lenar Iskhakov, Maksim Mironov
We consider pairwise Markov random fields which have a number of important applications in statistical physics, image processing and machine learning such as Ising model and labeli…