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Hawkes processes with variable length memory and an infinite number of components. arXiv preprint arXiv:1410.5235 (2014)

by P Hodara, E Löcherbach
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International License Mean-field limit of generalized

by Julien Chevallier, Hal Id Hal, Hawkes Processes , 2015
"... HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
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...els: intrinsically spike generating models (like the FitzHugh–Nagumo model [29]), threshold spike generating models (like the integrate-and-fire model [6, 12, 11]) and point processes models ([17] or =-=[18, 24]-=-). As usual with McKean-Vlasov dynamics, the asymptotic evolution (when n goes to infinity) of the distribution of the population at hand can be described as the solution of a nonlinear partial differ...

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